Canceling the U(1) Anomaly in the S Matrix of N=4 Supergravity

Bern, Zvi; Parra-Martinez, Julio; Roiban, Radu

doi:10.1103/PhysRevLett.121.101604

Title: Canceling the $U (1)$ Anomaly in the $S$ Matrix of $N = 4$ Supergravity

Abstract

N = 4 supergravity is understood to contain a U (1) anomaly which manifests itself via the nonvanishing of loop-level scattering amplitudes that violate a tree-level charge conservation rule. In this Letter we provide detailed evidence that at one loop such anomalous amplitudes can be set to zero by the addition of a finite local counterterm. We show that the same counterterm also cancels evanescent contributions that play an important role in the analysis of ultraviolet divergences in dimensionally regularized gravity. These cancellations call for a reanalysis of the four-loop ultraviolet divergences previously found in this theory without the addition of such counterterms.

Authors:: Bern, Zvi; Parra-Martinez, Julio; Roiban, Radu

Publication Date:: Sat Sep 01 00:00:00 EDT 2018

Research Org.:: Univ. of California, Los Angeles, CA (United States); Pennsylvania State Univ., University Park, PA (United States)

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

OSTI Identifier:: 1469040

Alternate Identifier(s):: OSTI ID: 1498981

Grant/Contract Number:: SC0009937; SC0013699

Resource Type:: Published Article

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Name: Physical Review Letters Journal Volume: 121 Journal Issue: 10; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Bern, Zvi, Parra-Martinez, Julio, and Roiban, Radu. Canceling the U(1) Anomaly in the S Matrix of N=4 Supergravity.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevLett.121.101604.

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                    Bern, Zvi, Parra-Martinez, Julio, & Roiban, Radu. Canceling the U(1) Anomaly in the S Matrix of N=4 Supergravity.  United States.  https://doi.org/10.1103/PhysRevLett.121.101604

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                    Bern, Zvi, Parra-Martinez, Julio, and Roiban, Radu. Sat .  
"Canceling the U(1) Anomaly in the S Matrix of N=4 Supergravity".  United States.  https://doi.org/10.1103/PhysRevLett.121.101604.

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@article{osti_1469040,

  title        = {Canceling the U(1) Anomaly in the S Matrix of N=4 Supergravity},

  author       = {Bern, Zvi and Parra-Martinez, Julio and Roiban, Radu},

  abstractNote = {N = 4 supergravity is understood to contain a U (1) anomaly which manifests itself via the nonvanishing of loop-level scattering amplitudes that violate a tree-level charge conservation rule. In this Letter we provide detailed evidence that at one loop such anomalous amplitudes can be set to zero by the addition of a finite local counterterm. We show that the same counterterm also cancels evanescent contributions that play an important role in the analysis of ultraviolet divergences in dimensionally regularized gravity. These cancellations call for a reanalysis of the four-loop ultraviolet divergences previously found in this theory without the addition of such counterterms.},

  doi          = {10.1103/PhysRevLett.121.101604},

  journal      = {Physical Review Letters},

  number       = 10,

  volume       = 121,

  place        = {United States},

  year         = {Sat Sep 01 00:00:00 EDT 2018},

  month        = {Sat Sep 01 00:00:00 EDT 2018}

}

Copy to clipboard

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Title: Canceling the U ( 1 ) Anomaly in the S Matrix of N=4 Supergravity

Abstract

Citation Formats

Self-Duality and Maximally Helicity Violating QCD Amplitudes journal, March 1997

Su(4) invariant supergravity theory journal, March 1978

On the U(1) duality anomaly and the S-matrix of $ \mathcal{N} $ = 4 supergravity journal, July 2013

On loop corrections to string effective field theories: field-dependent gauge couplings and σ-model anomalies journal, March 1992

String calculation of fayet-iliopoulos D-terms in arbitrary supersymmetric compactifications journal, January 1987

Anomalies in Nonlinear Sigma Models journal, October 1984

Construction of all N = 4 conformal supergravities journal, February 2017

Cancellation of conformal and chiral anomalies in N ≥ 5 supergravities journal, February 2017

New formulas for amplitudes from higher-dimensional operators journal, February 2017

Curvatures and Gauss-Bonnet theorem in new minimal supergravity journal, April 1988

Constructing gravity amplitudes from real soft and collinear factorization journal, July 2012

Curvature-squared multiplets, evanescent effects, and the U(1) anomaly in N = 4 supergravity journal, September 2017

N ≥ 4 supergravity amplitudes from gauge theory at one loop journal, November 2011

Evanescent Effects can Alter Ultraviolet Divergences in Quantum Gravity without Physical Consequences journal, November 2015

Gauged matter coupling in N = 4 supergravity journal, December 1985

Calculation of graviton scattering amplitudes using string-based methods journal, January 1995

One-loop four-graviton amplitudes in N = 4 supergravity models journal, February 2013

Perturbative expansion of N < 8 Supergravity journal, March 2011

On duality symmetries of supergravity invariants journal, January 2011

Multi-parton amplitudes in gauge theories journal, February 1991

Constructing amplitudes from their soft limits journal, September 2011

N = 8 supergravity journal, November 1982

Invariants and divergences in half-maximal supergravity theories journal, July 2013

Generating all tree amplitudes in $ \mathcal{N} = 4\;{\text{SYM}} $ by Inverse Soft Limit journal, August 2012

Fayet-Iliopoulos terms in string theory journal, January 1987

Linear Multiplets and Super Chern-Simons Forms in 4d-Supergravity journal, December 1987

New expressions for gravitational scattering amplitudes journal, July 2013

String theory dualities and supergravity divergences journal, June 2010

Curvatures, Gauss–Bonnet and Chern–Simons multiplets in old‐minimal N =1 supergravity journal, January 1989

Perturbative Quantum Gravity as a Double Copy of Gauge Theory journal, August 2010

Ultraviolet Properties of N = 4 Supergravity at Four Loops journal, December 2013

Color-kinematics duality and double-copy construction for amplitudes from higher-dimension operators journal, October 2012

The ultraviolet behavior of Einstein gravity journal, March 1986

Composite anomalies in supergravity journal, July 1985

Self-Dual Yang-Mills Theory, Integrability and Multiparton Amplitudes journal, January 1996

The SO(8) supergravity journal, November 1979

Absence of Three-Loop Four-Point Ultraviolet Divergences in N = 4 Supergravity journal, May 2012

The computation of loop amplitudes in gauge theories journal, July 1992

A relation between tree amplitudes of closed and open strings journal, May 1986

Anomaly structure of supergravity and anomaly cancellation journal, September 2009

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

Testing gluon self-interactions in three-jet events at hadron colliders journal, July 1994

The vanishing volume of D = 4 superspace journal, September 2011

One-loop n-point helicity amplitudes in (self-dual) gravity journal, December 1998

Graphs, determinants and gravity amplitudes journal, October 2012

Two-loop quantum gravity journal, July 1992

Stringy KLT relations, global symmetries, and E 7(7)-violation journal, October 2010

Gauged N=4 matter couplings journal, June 1985

Two-loop renormalization of quantum gravity simplified journal, February 2017

A duality for the S matrix journal, March 2010

Remarks on the identities of gluon tree amplitudes journal, October 2010

Absence of U(1) anomalous superamplitudes in N $$ \mathcal{N} $$ ≥ 5 supergravities journal, May 2017

Maximal-Helicity-Violating n -Point One-Loop Amplitude in N = 4 Supergravity journal, February 2012

Anomalies of hidden local chiral symmetries in σ-models and extended supergravities journal, February 1985

New identities among gauge theory amplitudes journal, August 2010

New relations for gauge-theory amplitudes journal, October 2008

A current algebra for some gauge theory amplitudes journal, November 1988

One-loop corrections to two-quark three-gluon amplitudes journal, March 1995

Multi-leg one-loop gravity amplitudes from gauge theory journal, April 1999

Soft theorems from anomalous symmetries journal, December 2015

Kähler anomalies in supergravity and flux vacua journal, November 2006

R2 corrections and non-perturbative dualities of N = 4 string ground states journal, January 1998

A Green-Schwarz mechanism for D = 4, N = 1 supergravity anomalies journal, January 1992

Anomaly cancellation in supergravity with Fayet-Iliopoulos couplings journal, November 2006

4D supergravity coupled to an antisymmetric tensor field with Green-Schwarz mechanism journal, February 1987

SO(4)-invariant extended supergravity journal, May 1977

Five-point amplitudes in N = 4 super-Yang-Mills theory and N = 8 supergravity journal, January 2012

One-loop corrections to five-gluon amplitudes journal, May 1993

Conjecture on hidden superconformal symmetry of N = 4 supergravity journal, January 2013

Coordinate and Kähler σ-model anomalies and their cancellation in string effective field theories journal, March 1993

Gravity and Yang-Mills amplitude relations journal, November 2010

Quantum gravity at two loops journal, October 1985

All-loop gauge couplings from anomaly cancellation in string effective theories journal, November 1991

Title: Canceling the $U (1)$ Anomaly in the $S$ Matrix of $N = 4$ Supergravity

Self-Duality and Maximally Helicity Violating QCD Amplitudes
journal, March 1997

Su(4) invariant supergravity theory
journal, March 1978

On the U(1) duality anomaly and the S-matrix of $ \mathcal{N} $ = 4 supergravity
journal, July 2013

On loop corrections to string effective field theories: field-dependent gauge couplings and σ-model anomalies
journal, March 1992

String calculation of fayet-iliopoulos D-terms in arbitrary supersymmetric compactifications
journal, January 1987

Anomalies in Nonlinear Sigma Models
journal, October 1984

Construction of all $N = 4$ conformal supergravities
journal, February 2017

Cancellation of conformal and chiral anomalies in $N \geq 5$ supergravities
journal, February 2017

New formulas for amplitudes from higher-dimensional operators
journal, February 2017

Curvatures and Gauss-Bonnet theorem in new minimal supergravity
journal, April 1988

Constructing gravity amplitudes from real soft and collinear factorization
journal, July 2012

Curvature-squared multiplets, evanescent effects, and the U(1) anomaly in $N = 4$ supergravity
journal, September 2017

$N \geq 4$ supergravity amplitudes from gauge theory at one loop
journal, November 2011

Evanescent Effects can Alter Ultraviolet Divergences in Quantum Gravity without Physical Consequences
journal, November 2015

Gauged matter coupling in N = 4 supergravity
journal, December 1985

Calculation of graviton scattering amplitudes using string-based methods
journal, January 1995

One-loop four-graviton amplitudes in $N = 4$ supergravity models
journal, February 2013

Perturbative expansion of $N < 8$ Supergravity
journal, March 2011

On duality symmetries of supergravity invariants
journal, January 2011

Multi-parton amplitudes in gauge theories
journal, February 1991

Constructing amplitudes from their soft limits
journal, September 2011

N = 8 supergravity
journal, November 1982

Invariants and divergences in half-maximal supergravity theories
journal, July 2013

Generating all tree amplitudes in $ \mathcal{N} = 4\;{\text{SYM}} $ by Inverse Soft Limit
journal, August 2012

Fayet-Iliopoulos terms in string theory
journal, January 1987

Linear Multiplets and Super Chern-Simons Forms in 4d-Supergravity
journal, December 1987

New expressions for gravitational scattering amplitudes
journal, July 2013

String theory dualities and supergravity divergences
journal, June 2010

Curvatures, Gauss–Bonnet and Chern–Simons multiplets in old‐minimal N =1 supergravity
journal, January 1989

Perturbative Quantum Gravity as a Double Copy of Gauge Theory
journal, August 2010

Ultraviolet Properties of $N = 4$ Supergravity at Four Loops
journal, December 2013

Color-kinematics duality and double-copy construction for amplitudes from higher-dimension operators
journal, October 2012

The ultraviolet behavior of Einstein gravity
journal, March 1986

Composite anomalies in supergravity
journal, July 1985

Self-Dual Yang-Mills Theory, Integrability and Multiparton Amplitudes
journal, January 1996

The SO(8) supergravity
journal, November 1979

Absence of Three-Loop Four-Point Ultraviolet Divergences in $N = 4$ Supergravity
journal, May 2012

The computation of loop amplitudes in gauge theories
journal, July 1992

A relation between tree amplitudes of closed and open strings
journal, May 1986

Anomaly structure of supergravity and anomaly cancellation
journal, September 2009

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

Testing gluon self-interactions in three-jet events at hadron colliders
journal, July 1994

The vanishing volume of D = 4 superspace
journal, September 2011

One-loop n-point helicity amplitudes in (self-dual) gravity
journal, December 1998

Graphs, determinants and gravity amplitudes
journal, October 2012

Two-loop quantum gravity
journal, July 1992

Stringy KLT relations, global symmetries, and E 7(7)-violation
journal, October 2010

Gauged N=4 matter couplings
journal, June 1985

Two-loop renormalization of quantum gravity simplified
journal, February 2017

A duality for the S matrix
journal, March 2010

Remarks on the identities of gluon tree amplitudes
journal, October 2010

Absence of U(1) anomalous superamplitudes in N $$ \mathcal{N} $$ ≥ 5 supergravities
journal, May 2017

Maximal-Helicity-Violating $n$ -Point One-Loop Amplitude in $N = 4$ Supergravity
journal, February 2012

Anomalies of hidden local chiral symmetries in σ-models and extended supergravities
journal, February 1985

New identities among gauge theory amplitudes
journal, August 2010

New relations for gauge-theory amplitudes
journal, October 2008

A current algebra for some gauge theory amplitudes
journal, November 1988

One-loop corrections to two-quark three-gluon amplitudes
journal, March 1995

Multi-leg one-loop gravity amplitudes from gauge theory
journal, April 1999

Soft theorems from anomalous symmetries
journal, December 2015

Kähler anomalies in supergravity and flux vacua
journal, November 2006

R2 corrections and non-perturbative dualities of N = 4 string ground states
journal, January 1998

A Green-Schwarz mechanism for D = 4, N = 1 supergravity anomalies
journal, January 1992

Anomaly cancellation in supergravity with Fayet-Iliopoulos couplings
journal, November 2006

4D supergravity coupled to an antisymmetric tensor field with Green-Schwarz mechanism
journal, February 1987

SO(4)-invariant extended supergravity
journal, May 1977

Five-point amplitudes in $N = 4$ super-Yang-Mills theory and $N = 8$ supergravity
journal, January 2012

One-loop corrections to five-gluon amplitudes
journal, May 1993

Conjecture on hidden superconformal symmetry of $N = 4$ supergravity
journal, January 2013

Coordinate and Kähler σ-model anomalies and their cancellation in string effective field theories
journal, March 1993

Gravity and Yang-Mills amplitude relations
journal, November 2010

Quantum gravity at two loops
journal, October 1985

All-loop gauge couplings from anomaly cancellation in string effective theories
journal, November 1991