Constraining higher derivative supergravity with scattering amplitudes

Wang, Yifan; Yin, Xi

doi:10.1103/PhysRevD.92.041701

Title: Constraining higher derivative supergravity with scattering amplitudes

Abstract

We study supersymmetry constraints on higher derivative deformations of type IIB supergravity by consideration of superamplitudes. Thus, combining constraints of on-shell supervertices and basic results from string perturbation theory, we give a simple argument for the non-renormalization theorem of Green and Sethi, and some of its generalizations.

Authors:

Wang, Yifan ^[1]; Yin, Xi ^[2]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Harvard Univ., Cambridge, MA (United States)

Publication Date:: Mon Aug 31 00:00:00 EDT 2015

Research Org.:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1240389

Alternate Identifier(s):: OSTI ID: 1213604

Grant/Contract Number:: SC0012567; SC00012567

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review. D, Particles, Fields, Gravitation and Cosmology

Additional Journal Information:: Journal Volume: 92; Journal Issue: 4; Journal ID: ISSN 1550-7998

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Wang, Yifan, and Yin, Xi. Constraining higher derivative supergravity with scattering amplitudes.  United States: N. p., 2015. 
Web.  doi:10.1103/PhysRevD.92.041701.

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                    Wang, Yifan, & Yin, Xi. Constraining higher derivative supergravity with scattering amplitudes.  United States.  https://doi.org/10.1103/PhysRevD.92.041701

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                    Wang, Yifan, and Yin, Xi. Mon .  
"Constraining higher derivative supergravity with scattering amplitudes".  United States.  https://doi.org/10.1103/PhysRevD.92.041701.  https://www.osti.gov/servlets/purl/1240389.

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@article{osti_1240389,

  title        = {Constraining higher derivative supergravity with scattering amplitudes},

  author       = {Wang, Yifan and Yin, Xi},

  abstractNote = {We study supersymmetry constraints on higher derivative deformations of type IIB supergravity by consideration of superamplitudes. Thus, combining constraints of on-shell supervertices and basic results from string perturbation theory, we give a simple argument for the non-renormalization theorem of Green and Sethi, and some of its generalizations.},

  doi          = {10.1103/PhysRevD.92.041701},

  journal      = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},

  number       = 4,

  volume       = 92,

  place        = {United States},

  year         = {Mon Aug 31 00:00:00 EDT 2015},

  month        = {Mon Aug 31 00:00:00 EDT 2015}

}

Copy to clipboard

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Works referenced in this record:

Type IIB E4H4g−4 conjectures
journal, November 1998

Berkovits, Nathan; Vafa, Cumrun
Nuclear Physics B, Vol. 533, Issue 1-3
DOI: 10.1016/s0550-3213(98)00475-1

Duality and higher derivative terms in M theory
journal, January 2006

Green, Michael B.; Vanhove, Pierre
Journal of High Energy Physics, Vol. 2006, Issue 01
DOI: 10.1088/1126-6708/2006/01/093

Matching the D 6ℛ4 interaction at two-loops
journal, January 2015

D’Hoker, Eric; Green, Michael B.; Pioline, Boris
Journal of High Energy Physics, Vol. 2015, Issue 1
DOI: 10.1007/jhep01(2015)031

The D10R4 term in type IIB string theory
journal, May 2007

Basu, Anirban
Physics Letters B, Vol. 648, Issue 5-6
DOI: 10.1016/j.physletb.2007.03.024

<mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi>E</mml:mi><mml:mrow><mml:mn>7</mml:mn><mml:mo stretchy="false">(</mml:mo><mml:mn>7</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:msub></mml:math> constraints on counterterms in <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>8</mml:mn></mml:math> supergravity
journal, November 2010

Beisert, N.; Elvang, H.; Freedman, D.
Physics Letters B, Vol. 694, Issue 3
DOI: 10.1016/j.physletb.2010.09.069

Recursion relations from space-time supersymmetry
journal, September 2008

Basu, Anirban; Sethi, Savdeep
Journal of High Energy Physics, Vol. 2008, Issue 09
DOI: 10.1088/1126-6708/2008/09/081

The structure of the $\mathcal {R}^8$ term in type IIB string theory
journal, November 2013

Basu, Anirban
Classical and Quantum Gravity, Vol. 30, Issue 23
DOI: 10.1088/0264-9381/30/23/235028

Construction of R4 terms in N = 2 D = 8 superspace
journal, March 1998

Berkovits, Nathan
Nuclear Physics B, Vol. 514, Issue 1-2
DOI: 10.1016/s0550-3213(97)00817-1

Supersymmetry and the Yang-Mills effective action at finite N
journal, June 1999

Sethi, Savdeep; Stern, Mark
Journal of High Energy Physics, Vol. 1999, Issue 06
DOI: 10.1088/1126-6708/1999/06/004

Is <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>8</mml:mn></mml:math> supergravity ultraviolet finite?
journal, January 2007

Bern, Z.; Dixon, L. J.; Roiban, R.
Physics Letters B, Vol. 644, Issue 4
DOI: 10.1016/j.physletb.2006.11.030

Amplitudes and ultraviolet behavior of N = 8 supergravity
journal, March 2011

Bern, Z.; Carrasco, J. J.; Dixon, L. J.
Fortschritte der Physik, Vol. 59, Issue 7-8
DOI: 10.1002/prop.201100037

Superactions
journal, November 1981

Howe, P. S.; Stelle, K. S.; Townsend, P. K.
Nuclear Physics B, Vol. 191, Issue 2
DOI: 10.1016/0550-3213(81)90308-4

A note on non-perturbative R4 couplings
journal, July 1998

Pioline, B.
Physics Letters B, Vol. 431, Issue 1-2
DOI: 10.1016/s0370-2693(98)00554-1

SUSY Ward identities, superamplitudes and counterterms
journal, October 2011

Elvang, Henriette; Freedman, Daniel Z.; Kiermaier, Michael
Journal of Physics A: Mathematical and Theoretical, Vol. 44, Issue 45
DOI: 10.1088/1751-8113/44/45/454009

On the field theory expansion of superstring five point amplitudes
journal, November 2013

Boels, Rutger H.
Nuclear Physics B, Vol. 876, Issue 1
DOI: 10.1016/j.nuclphysb.2013.08.009

RNS derivation of N-point disk amplitudes from the revisited S-matrix approach
journal, September 2014

Barreiro, Luiz Antonio; Medina, Ricardo
Nuclear Physics B, Vol. 886
DOI: 10.1016/j.nuclphysb.2014.07.015

The D ⁶ ℛ ⁴ term from three loop maximal supergravity
journal, November 2014

Basu, Anirban
Classical and Quantum Gravity, Vol. 31, Issue 24
DOI: 10.1088/0264-9381/31/24/245002

Counterterms in extended supergravities
journal, February 1981

Kallosh, R. E.
Physics Letters B, Vol. 99, Issue 2
DOI: 10.1016/0370-2693(81)90964-3

Supersymmetry and higher derivative terms in the effective action of Yang-Mills theories
journal, June 1998

Paban, Sonia; Sethi, Savdeep; Stern, Mark
Journal of High Energy Physics, Vol. 1998, Issue 06
DOI: 10.1088/1126-6708/1998/06/012

Effects of D-instantons
journal, August 1997

Green, Michael B.; Gutperle, Michael
Nuclear Physics B, Vol. 498, Issue 1-2
DOI: 10.1016/S0550-3213(97)00269-1

Supersymmetry constraints on type IIB supergravity
journal, January 1999

Green, Michael B.; Sethi, Savdeep
Physical Review D, Vol. 59, Issue 4
DOI: 10.1103/PhysRevD.59.046006

Constraints from extended supersymmetry in quantum mechanics
journal, November 1998

Paban, Sonia; Sethi, Savdeep; Stern, Mark
Nuclear Physics B, Vol. 534, Issue 1-2
DOI: 10.1016/S0550-3213(98)00518-5

A simple approach to counterterms in N=8 supergravity
journal, November 2010

Elvang, Henriette; Freedman, Daniel Z.; Kiermaier, Michael
Journal of High Energy Physics, Vol. 2010, Issue 11
DOI: 10.1007/JHEP11(2010)016

Higher order invariants in extended supergravity
journal, April 1981

Howe, P.; Lindström, U.
Nuclear Physics B, Vol. 181, Issue 3
DOI: 10.1016/0550-3213(81)90537-X

Spinor helicity and dual conformal symmetry in ten dimensions
journal, August 2011

Caron-Huot, Simon; O’Connell, Donal
Journal of High Energy Physics, Vol. 2011, Issue 8
DOI: 10.1007/JHEP08(2011)014

Simple superamplitudes in higher dimensions
journal, June 2012

Boels, Rutger H.; O’Connell, Donal
Journal of High Energy Physics, Vol. 2012, Issue 6
DOI: 10.1007/JHEP06(2012)163

Maximal $R$ -Symmetry Violating Amplitudes in Type IIB Superstring Theory
journal, August 2012

Boels, Rutger H.
Physical Review Letters, Vol. 109, Issue 8
DOI: 10.1103/PhysRevLett.109.081602

Effective Field Theories from Soft Limits of Scattering Amplitudes
journal, June 2015

Cheung, Clifford; Kampf, Karol; Novotny, Jiri
Physical Review Letters, Vol. 114, Issue 22
DOI: 10.1103/PhysRevLett.114.221602

Direct Proof of the Tree-Level Scattering Amplitude Recursion Relation in Yang-Mills Theory
journal, May 2005

Britto, Ruth; Cachazo, Freddy; Feng, Bo
Physical Review Letters, Vol. 94, Issue 18
DOI: 10.1103/PhysRevLett.94.181602

On-shell constructibility of tree amplitudes in general field theories
journal, April 2011

Cohen, Timothy; Elvang, Henriette; Kiermaier, Michael
Journal of High Energy Physics, Vol. 2011, Issue 4
DOI: 10.1007/JHEP04(2011)053

Revisiting the S-matrix approach to the open superstring low energy effective lagrangian
journal, October 2012

Barreiro, Luiz Antonio; Medina, Ricardo
Journal of High Energy Physics, Vol. 2012, Issue 10
DOI: 10.1007/JHEP10(2012)108

Low-energy expansion of the one-loop type-II superstring amplitude
journal, April 2000

Green, Michael B.; Vanhove, Pierre
Physical Review D, Vol. 61, Issue 10
DOI: 10.1103/PhysRevD.61.104011

The closed-string 3-loop amplitude and S-duality
journal, October 2013

Gomez, Humberto; Mafra, Carlos R.
Journal of High Energy Physics, Vol. 2013, Issue 10
DOI: 10.1007/JHEP10(2013)217

D6ℛ4 amplitudes in various dimensions
journal, April 2015

Pioline, Boris
Journal of High Energy Physics, Vol. 2015, Issue 4
DOI: 10.1007/JHEP04(2015)057

$$ {\mathcal{R}^4} $$ counterterm and E 7(7) symmetry in maximal supergravity
journal, May 2010

Brödel, Johannes; Dixon, Lance J.
Journal of High Energy Physics, Vol. 2010, Issue 5
DOI: 10.1007/JHEP05(2010)003

On duality symmetries of supergravity invariants
journal, January 2011

Bossard, G.; Howe, P. S.; Stelle, K. S.
Journal of High Energy Physics, Vol. 2011, Issue 1
DOI: 10.1007/JHEP01(2011)020

On the relationship between Yang-Mills theory and gravity and its implication for ultraviolet divergences
journal, October 1998

Bern, Z.; Dixon, L.; Dunbar, D. C.
Nuclear Physics B, Vol. 530, Issue 1-2
DOI: 10.1016/S0550-3213(98)00420-9

Cancellations Beyond Finiteness in $N = 8$ Supergravity at Three Loops
journal, April 2007

Bern, Z.; Carrasco, J. J.; Dixon, L. J.
Physical Review Letters, Vol. 98, Issue 16
DOI: 10.1103/PhysRevLett.98.161303

Ultraviolet Behavior of $N = 8$ Supergravity at Four Loops
journal, August 2009

Bern, Z.; Carrasco, J. J. M.; Dixon, L. J.
Physical Review Letters, Vol. 103, Issue 8
DOI: 10.1103/PhysRevLett.103.081301

On duality symmetries of supergravity invariants
text, January 2010

Bossard, G.; Howe, P. S.; Stelle, K. S.
arXiv
DOI: 10.48550/arxiv.1009.0743

E7(7) constraints on counterterms in N=8 supergravity
text, January 2010

Beisert, Niklas; Elvang, Henriette; Freedman, Daniel Z.
arXiv
DOI: 10.48550/arxiv.1009.1643

On-shell constructibility of tree amplitudes in general field theories
text, January 2010

Cohen, Timothy; Elvang, Henriette; Kiermaier, Michael
arXiv
DOI: 10.48550/arxiv.1010.0257

Spinor Helicity and Dual Conformal Symmetry in Ten Dimensions
text, January 2010

Caron-Huot, Simon; O'Connell, Donal
arXiv
DOI: 10.48550/arxiv.1010.5487

Amplitudes and Ultraviolet Behavior of N=8 Supergravity
text, January 2011

Bern, Zvi; Carrasco, John Joseph; Dixon, Lance
arXiv
DOI: 10.48550/arxiv.1103.1848

Maximal R-symmetry violating amplitudes in type IIB superstring theory
text, January 2012

Boels, Rutger H.
arXiv
DOI: 10.48550/arxiv.1204.4208

Revisiting the S-matrix approach to the open superstring low energy effective lagrangian
text, January 2012

Barreiro, Luiz Antonio; Medina, Ricardo
arXiv
DOI: 10.48550/arxiv.1208.6066

The closed-string 3-loop amplitude and S-duality
text, January 2013

Gomez, Humberto; Mafra, Carlos R.
arXiv
DOI: 10.48550/arxiv.1308.6567

RNS derivation of N-point disk amplitudes from the revisited S-matrix approach
text, January 2013

Barreiro, Luiz Antonio; Medina, Ricardo
arXiv
DOI: 10.48550/arxiv.1310.5942

The D^6 R^4 term from three loop maximal supergravity
text, January 2014

Basu, Anirban
arXiv
DOI: 10.48550/arxiv.1407.0535

$D^6 R^4$ amplitudes in various dimensions
text, January 2015

Pioline, Boris
arXiv
DOI: 10.48550/arxiv.1502.03377

Duality and higher derivative terms in M theory
text, January 2005

Green, Michael B.; Vanhove, Pierre
arXiv
DOI: 10.48550/arxiv.hep-th/0510027

Is N = 8 Supergravity Ultraviolet Finite?
text, January 2006

Bern, Zvi; Dixon, Lance J.; Roiban, Radu
arXiv
DOI: 10.48550/arxiv.hep-th/0611086

On the Relationship between Yang-Mills Theory and Gravity and its Implication for Ultraviolet Divergences
text, January 1998

Bern, Z.; Dixon, L.; Dunbar, D. C.
arXiv
DOI: 10.48550/arxiv.hep-th/9802162

Type IIB $R^4 H^{4g-4}$ Conjectures
text, January 1998

Berkovits, Nathan; Vafa, Cumrun
arXiv
DOI: 10.48550/arxiv.hep-th/9803145

Constraints From Extended Supersymmetry in Quantum Mechanics
text, January 1998

Paban, Sonia; Sethi, Savdeep; Stern, Mark
arXiv
DOI: 10.48550/arxiv.hep-th/9805018

Supersymmetry and the Yang-Mills Effective Action at Finite N
text, January 1999

Sethi, Savdeep; Stern, Mark
arXiv
DOI: 10.48550/arxiv.hep-th/9903049

Works referencing / citing this record:

$1/8$-BPS couplings and exceptional automorphic functions
journal, January 2020

Bossard, Guillaume; Kleinschmidt, Axel; Pioline, Boris
SciPost Physics, Vol. 8, Issue 4
DOI: 10.21468/scipostphys.8.4.054

1/8-BPS Couplings and Exceptional Automorphic Functions
text, January 2020

Bossard, Guillaume; Kleinschmidt, Axel; Pioline, Boris
arXiv
DOI: 10.48550/arxiv.2001.05562

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Title: Constraining higher derivative supergravity with scattering amplitudes

Abstract

Citation Formats

Type IIB E4H4g−4 conjectures journal, November 1998

Duality and higher derivative terms in M theory journal, January 2006

Matching the D 6ℛ4 interaction at two-loops journal, January 2015

The D10R4 term in type IIB string theory journal, May 2007

Recursion relations from space-time supersymmetry journal, September 2008

The structure of the $\mathcal {R}^8$ term in type IIB string theory journal, November 2013

Construction of R4 terms in N = 2 D = 8 superspace journal, March 1998

Supersymmetry and the Yang-Mills effective action at finite N journal, June 1999

Amplitudes and ultraviolet behavior of N = 8 supergravity journal, March 2011

Superactions journal, November 1981

A note on non-perturbative R4 couplings journal, July 1998

SUSY Ward identities, superamplitudes and counterterms journal, October 2011

On the field theory expansion of superstring five point amplitudes journal, November 2013

RNS derivation of N-point disk amplitudes from the revisited S-matrix approach journal, September 2014

The D 6 ℛ 4 term from three loop maximal supergravity journal, November 2014

Counterterms in extended supergravities journal, February 1981

Supersymmetry and higher derivative terms in the effective action of Yang-Mills theories journal, June 1998

Effects of D-instantons journal, August 1997

Supersymmetry constraints on type IIB supergravity journal, January 1999

Constraints from extended supersymmetry in quantum mechanics journal, November 1998

A simple approach to counterterms in N=8 supergravity journal, November 2010

Higher order invariants in extended supergravity journal, April 1981

Spinor helicity and dual conformal symmetry in ten dimensions journal, August 2011

Simple superamplitudes in higher dimensions journal, June 2012

Maximal R -Symmetry Violating Amplitudes in Type IIB Superstring Theory journal, August 2012

Effective Field Theories from Soft Limits of Scattering Amplitudes journal, June 2015

Direct Proof of the Tree-Level Scattering Amplitude Recursion Relation in Yang-Mills Theory journal, May 2005

On-shell constructibility of tree amplitudes in general field theories journal, April 2011

Revisiting the S-matrix approach to the open superstring low energy effective lagrangian journal, October 2012

Low-energy expansion of the one-loop type-II superstring amplitude journal, April 2000

The closed-string 3-loop amplitude and S-duality journal, October 2013

D6ℛ4 amplitudes in various dimensions journal, April 2015

$$ {\mathcal{R}^4} $$ counterterm and E 7(7) symmetry in maximal supergravity journal, May 2010

On duality symmetries of supergravity invariants journal, January 2011

On the relationship between Yang-Mills theory and gravity and its implication for ultraviolet divergences journal, October 1998

Cancellations Beyond Finiteness in N = 8 Supergravity at Three Loops journal, April 2007

Ultraviolet Behavior of N = 8 Supergravity at Four Loops journal, August 2009

On duality symmetries of supergravity invariants text, January 2010

E7(7) constraints on counterterms in N=8 supergravity text, January 2010

On-shell constructibility of tree amplitudes in general field theories text, January 2010

Spinor Helicity and Dual Conformal Symmetry in Ten Dimensions text, January 2010

Amplitudes and Ultraviolet Behavior of N=8 Supergravity text, January 2011

Maximal R-symmetry violating amplitudes in type IIB superstring theory text, January 2012

Revisiting the S-matrix approach to the open superstring low energy effective lagrangian text, January 2012

The closed-string 3-loop amplitude and S-duality text, January 2013

RNS derivation of N-point disk amplitudes from the revisited S-matrix approach text, January 2013

The D^6 R^4 term from three loop maximal supergravity text, January 2014

$D^6 R^4$ amplitudes in various dimensions text, January 2015

Duality and higher derivative terms in M theory text, January 2005

Is N = 8 Supergravity Ultraviolet Finite? text, January 2006

On the Relationship between Yang-Mills Theory and Gravity and its Implication for Ultraviolet Divergences text, January 1998

Type IIB $R^4 H^{4g-4}$ Conjectures text, January 1998

Constraints From Extended Supersymmetry in Quantum Mechanics text, January 1998

Supersymmetry and the Yang-Mills Effective Action at Finite N text, January 1999

$1/8$-BPS couplings and exceptional automorphic functions journal, January 2020

1/8-BPS Couplings and Exceptional Automorphic Functions text, January 2020

Type IIB E4H4g−4 conjectures
journal, November 1998

Duality and higher derivative terms in M theory
journal, January 2006

Matching the D 6ℛ4 interaction at two-loops
journal, January 2015

The D10R4 term in type IIB string theory
journal, May 2007

Recursion relations from space-time supersymmetry
journal, September 2008

The structure of the $\mathcal {R}^8$ term in type IIB string theory
journal, November 2013

Construction of R4 terms in N = 2 D = 8 superspace
journal, March 1998

Supersymmetry and the Yang-Mills effective action at finite N
journal, June 1999

Amplitudes and ultraviolet behavior of N = 8 supergravity
journal, March 2011

Superactions
journal, November 1981

A note on non-perturbative R4 couplings
journal, July 1998

SUSY Ward identities, superamplitudes and counterterms
journal, October 2011

On the field theory expansion of superstring five point amplitudes
journal, November 2013

RNS derivation of N-point disk amplitudes from the revisited S-matrix approach
journal, September 2014

The D ⁶ ℛ ⁴ term from three loop maximal supergravity
journal, November 2014

Counterterms in extended supergravities
journal, February 1981

Supersymmetry and higher derivative terms in the effective action of Yang-Mills theories
journal, June 1998

Effects of D-instantons
journal, August 1997

Supersymmetry constraints on type IIB supergravity
journal, January 1999

Constraints from extended supersymmetry in quantum mechanics
journal, November 1998

A simple approach to counterterms in N=8 supergravity
journal, November 2010

Higher order invariants in extended supergravity
journal, April 1981

Spinor helicity and dual conformal symmetry in ten dimensions
journal, August 2011

Simple superamplitudes in higher dimensions
journal, June 2012

Maximal $R$ -Symmetry Violating Amplitudes in Type IIB Superstring Theory
journal, August 2012

Effective Field Theories from Soft Limits of Scattering Amplitudes
journal, June 2015

Direct Proof of the Tree-Level Scattering Amplitude Recursion Relation in Yang-Mills Theory
journal, May 2005

On-shell constructibility of tree amplitudes in general field theories
journal, April 2011

Revisiting the S-matrix approach to the open superstring low energy effective lagrangian
journal, October 2012

Low-energy expansion of the one-loop type-II superstring amplitude
journal, April 2000

The closed-string 3-loop amplitude and S-duality
journal, October 2013

D6ℛ4 amplitudes in various dimensions
journal, April 2015

$$ {\mathcal{R}^4} $$ counterterm and E 7(7) symmetry in maximal supergravity
journal, May 2010

On duality symmetries of supergravity invariants
journal, January 2011

On the relationship between Yang-Mills theory and gravity and its implication for ultraviolet divergences
journal, October 1998

Cancellations Beyond Finiteness in $N = 8$ Supergravity at Three Loops
journal, April 2007

Ultraviolet Behavior of $N = 8$ Supergravity at Four Loops
journal, August 2009

On duality symmetries of supergravity invariants
text, January 2010

E7(7) constraints on counterterms in N=8 supergravity
text, January 2010

On-shell constructibility of tree amplitudes in general field theories
text, January 2010

Spinor Helicity and Dual Conformal Symmetry in Ten Dimensions
text, January 2010

Amplitudes and Ultraviolet Behavior of N=8 Supergravity
text, January 2011

Maximal R-symmetry violating amplitudes in type IIB superstring theory
text, January 2012

Revisiting the S-matrix approach to the open superstring low energy effective lagrangian
text, January 2012

The closed-string 3-loop amplitude and S-duality
text, January 2013

RNS derivation of N-point disk amplitudes from the revisited S-matrix approach
text, January 2013

The D^6 R^4 term from three loop maximal supergravity
text, January 2014

$D^6 R^4$ amplitudes in various dimensions
text, January 2015

Duality and higher derivative terms in M theory
text, January 2005

Is N = 8 Supergravity Ultraviolet Finite?
text, January 2006

On the Relationship between Yang-Mills Theory and Gravity and its Implication for Ultraviolet Divergences
text, January 1998

Type IIB $R^4 H^{4g-4}$ Conjectures
text, January 1998

Constraints From Extended Supersymmetry in Quantum Mechanics
text, January 1998

Supersymmetry and the Yang-Mills Effective Action at Finite N
text, January 1999

$1/8$-BPS couplings and exceptional automorphic functions
journal, January 2020

1/8-BPS Couplings and Exceptional Automorphic Functions
text, January 2020