M5-brane and D-brane scattering amplitudes

doi:10.1007/jhep12(2017)003

Title: M5-brane and D-brane scattering amplitudes

Abstract

We present tree-level $$\mathcal{n}$$-particle on-shell scattering amplitudes of various brane theories with 16 conserved supercharges. These include the world-volume theory of a probe D3-brane or D5-brane in 10D Minkowski spacetime as well as a probe M5-brane in 11D Minkowski spacetime, which describes self interactions of an abelian tensor supermultiplet with 6D (2, 0) supersymmetry. Twistor-string-like formulas are proposed for tree-level scattering amplitudes of all multiplicities for each of these theories. The R symmetry of the D3-brane theory is shown to be SU(4) × U(1), and the U(1) factor implies that its amplitudes are helicity conserving. Each of 6D theories (D5-brane and M5-brane) reduces to the D3-brane theory by dimensional reduction. Conclusively, as special cases of the general M5-brane amplitudes, we present compact formulas for examples involving only the self-dual B field with $$\mathcal{n}$$ = 4, 6, 8.

Authors:

Heydeman, Matthew ^[1]; Schwarz, John H. ^[1]; Wen, Congkao ^[2]

California Inst. of Technology (CalTech), Pasadena, CA (United States)
Univ. of California, Los Angeles, CA (United States)

Publication Date:: 2017-12-01

Research Org.:: California Institute of Technology (CalTech), Pasadena, CA (United States)

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

OSTI Identifier:: 1501891

Grant/Contract Number:: SC0010255; SC0011632

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 12; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; D-branes; Extended Supersymmetry; M-Theory; Scattering Amplitudes

Citation Formats


                    Heydeman, Matthew, Schwarz, John H., and Wen, Congkao. M5-brane and D-brane scattering amplitudes.  United States: N. p., 2017. 
        Web.  doi:10.1007/jhep12(2017)003.

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                    Heydeman, Matthew, Schwarz, John H., & Wen, Congkao. M5-brane and D-brane scattering amplitudes.  United States.  doi:10.1007/jhep12(2017)003.

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                    Heydeman, Matthew, Schwarz, John H., and Wen, Congkao. Fri .  
        "M5-brane and D-brane scattering amplitudes".  United States.  doi:10.1007/jhep12(2017)003.  https://www.osti.gov/servlets/purl/1501891.

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@article{osti_1501891,

  title        = {M5-brane and D-brane scattering amplitudes},

  author       = {Heydeman, Matthew and Schwarz, John H. and Wen, Congkao},

  abstractNote = {We present tree-level $\mathcal{n}$-particle on-shell scattering amplitudes of various brane theories with 16 conserved supercharges. These include the world-volume theory of a probe D3-brane or D5-brane in 10D Minkowski spacetime as well as a probe M5-brane in 11D Minkowski spacetime, which describes self interactions of an abelian tensor supermultiplet with 6D (2, 0) supersymmetry. Twistor-string-like formulas are proposed for tree-level scattering amplitudes of all multiplicities for each of these theories. The R symmetry of the D3-brane theory is shown to be SU(4) × U(1), and the U(1) factor implies that its amplitudes are helicity conserving. Each of 6D theories (D5-brane and M5-brane) reduces to the D3-brane theory by dimensional reduction. Conclusively, as special cases of the general M5-brane amplitudes, we present compact formulas for examples involving only the self-dual B field with $\mathcal{n}$ = 4, 6, 8.},

  doi          = {10.1007/jhep12(2017)003},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 12,

  volume       = 2017,

  place        = {United States},

  year         = {2017},

  month        = {12}

}

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DOI: 10.1007/jhep12(2017)003

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Cited by: 14 works

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Works referencing / citing this record:

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Elvang, Henriette; Hadjiantonis, Marios; Jones, Callum R. T.
Journal of High Energy Physics, Vol. 2019, Issue 1
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Liu, Zhengwen; Zhao, Xiaoran
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Non-linear supersymmetry and TT¯$$ T\overline{T} $$-like flows
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Ferko, Christian; Jiang, Hongliang; Sethi, Savdeep
Journal of High Energy Physics, Vol. 2020, Issue 2
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Two-loop scattering amplitudes: double-forward limit and colour-kinematics duality
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Geyer, Yvonne; Monteiro, Ricardo; Stark-Muchão, Ricardo
Journal of High Energy Physics, Vol. 2019, Issue 12
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Supersymmetry and T T ¯ $$ T\overline{T} $$ deformations
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Polarized Scattering Equations for 6D Superamplitudes
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Title: M5-brane and D-brane scattering amplitudes

Abstract

Citation Formats

Exploring soft constraints on effective actions journal, October 2016

Recursion relations from soft theorems journal, March 2016

Electric-magnetic duality rotations in non-linear electrodynamics journal, November 1995

Scattering in three dimensions from rational maps journal, October 2013

Perturbative Gauge Theory as a String Theory in Twistor Space journal, October 2004

The Dirichlet super-p-branes in ten-dimensional type IIA and IIB supergravity journal, April 1997

Gauge-invariant and gauge-fixed D-brane actions journal, June 1997

Covariant action for a D = 11 five-brane with the chiral field journal, April 1997

Is the neutrino a goldstone particle? journal, September 1973

D-brane actions with local kappa symmetry journal, February 1997

Scattering of Massless Particles in Arbitrary Dimensions journal, October 2014

On-Shell Recursion Relations for Effective Field Theories journal, January 2016

Open p-branes journal, August 1996

Scattering equations, twistor-string formulas and double-soft limits in four dimensions journal, July 2016

Chiral three-point interactions in 5 and 6 dimensions journal, October 2012

Amplitudes and spinor-helicity in six dimensions journal, July 2009

The Dirichlet super-three-brane in ten-dimensional type IIB supergravity journal, April 1997

MHV, CSW and BCFW: field theory structures in string theory amplitudes journal, November 2008

World-volume action of the M-theory five-brane journal, July 1997

One-loop amplitudes in six-dimensional (1,1) theories from generalised unitarity journal, February 2011

Scattering equations and matrices: from Einstein to Yang-Mills, DBI and NLSM journal, July 2015

Amplitudes of 3D and 6D maximal superconformal theories in supertwistor space journal, October 2010

Equivalence of twistor prescriptions for super Yang-Mills journal, January 2007

Dirac-Born-Infeld-Volkov-Akulov and deformation of supersymmetry journal, August 2013

Super D-branes journal, April 1997

Scattering of massless particles: scalars, gluons and gravitons journal, July 2014

Covariant field equations of the M-theory five-brane journal, April 1997

Covariant Action for the Super-Five-Brane of M Theory journal, June 1997

All Conjugate-Maximal-Helicity-Violating Amplitudes from Topological Open String Theory in Twistor Space journal, September 2004

A Googly Amplitude from the B-model in Twistor Space journal, April 2004

Extensions of theories from soft limits journal, June 2016

Supertwistor space for 6D maximal super Yang-Mills journal, April 2010

D = 11, p = 5 journal, February 1997

On renormalization group flows and the a-theorem in 6d journal, October 2012

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

Ambitwistor strings and the scattering equations journal, July 2014

Interacting chiral gauge fields in six dimensions and Born-Infeld theory journal, March 1997

Exact coefficients for higher dimensional operators with sixteen supersymmetries journal, September 2015

Soft bootstrap and supersymmetry journal, January 2019

Bootstrapping solutions of scattering equations journal, February 2019

Soft bootstrap and supersymmetry journal, January 2019

Bootstrapping solutions of scattering equations journal, February 2019

Non-linear supersymmetry and TT¯$$ T\overline{T} $$-like flows journal, February 2020

Two-loop scattering amplitudes: double-forward limit and colour-kinematics duality journal, December 2019

Supersymmetry and T T ¯ $$ T\overline{T} $$ deformations journal, April 2019

Constructing $$ \mathcal{N} $$ = 4 Coulomb branch superamplitudes journal, August 2019

On polarized scattering equations for superamplitudes of 11D supergravity and ambitwistor superstring journal, November 2019

Polarized Scattering Equations for 6D Superamplitudes journal, March 2019

Exploring soft constraints on effective actions
journal, October 2016

Recursion relations from soft theorems
journal, March 2016

Electric-magnetic duality rotations in non-linear electrodynamics
journal, November 1995

Scattering in three dimensions from rational maps
journal, October 2013

Perturbative Gauge Theory as a String Theory in Twistor Space
journal, October 2004

The Dirichlet super-p-branes in ten-dimensional type IIA and IIB supergravity
journal, April 1997

Gauge-invariant and gauge-fixed D-brane actions
journal, June 1997

Covariant action for a D = 11 five-brane with the chiral field
journal, April 1997

Is the neutrino a goldstone particle?
journal, September 1973

D-brane actions with local kappa symmetry
journal, February 1997

Scattering of Massless Particles in Arbitrary Dimensions
journal, October 2014

On-Shell Recursion Relations for Effective Field Theories
journal, January 2016

Open p-branes
journal, August 1996

Scattering equations, twistor-string formulas and double-soft limits in four dimensions
journal, July 2016

Chiral three-point interactions in 5 and 6 dimensions
journal, October 2012

Amplitudes and spinor-helicity in six dimensions
journal, July 2009

The Dirichlet super-three-brane in ten-dimensional type IIB supergravity
journal, April 1997

MHV, CSW and BCFW: field theory structures in string theory amplitudes
journal, November 2008

World-volume action of the M-theory five-brane
journal, July 1997

One-loop amplitudes in six-dimensional (1,1) theories from generalised unitarity
journal, February 2011

Scattering equations and matrices: from Einstein to Yang-Mills, DBI and NLSM
journal, July 2015

Amplitudes of 3D and 6D maximal superconformal theories in supertwistor space
journal, October 2010

Equivalence of twistor prescriptions for super Yang-Mills
journal, January 2007

Dirac-Born-Infeld-Volkov-Akulov and deformation of supersymmetry
journal, August 2013

Super D-branes
journal, April 1997

Scattering of massless particles: scalars, gluons and gravitons
journal, July 2014

Covariant field equations of the M-theory five-brane
journal, April 1997

Covariant Action for the Super-Five-Brane of $M$ Theory
journal, June 1997

All Conjugate-Maximal-Helicity-Violating Amplitudes from Topological Open String Theory in Twistor Space
journal, September 2004

A Googly Amplitude from the B-model in Twistor Space
journal, April 2004

Extensions of theories from soft limits
journal, June 2016

Supertwistor space for 6D maximal super Yang-Mills
journal, April 2010

D = 11, p = 5
journal, February 1997

On renormalization group flows and the a-theorem in 6d
journal, October 2012

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

Ambitwistor strings and the scattering equations
journal, July 2014

Interacting chiral gauge fields in six dimensions and Born-Infeld theory
journal, March 1997

Exact coefficients for higher dimensional operators with sixteen supersymmetries
journal, September 2015

Soft bootstrap and supersymmetry
journal, January 2019

Bootstrapping solutions of scattering equations
journal, February 2019

Soft bootstrap and supersymmetry
journal, January 2019

Bootstrapping solutions of scattering equations
journal, February 2019

Non-linear supersymmetry and TT¯$$ T\overline{T} $$-like flows
journal, February 2020

Two-loop scattering amplitudes: double-forward limit and colour-kinematics duality
journal, December 2019

Supersymmetry and T T ¯ $$ T\overline{T} $$ deformations
journal, April 2019

Constructing $$ \mathcal{N} $$ = 4 Coulomb branch superamplitudes
journal, August 2019

On polarized scattering equations for superamplitudes of 11D supergravity and ambitwistor superstring
journal, November 2019

Polarized Scattering Equations for 6D Superamplitudes
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