Anomaly cancellation in effective supergravity theories from the heterotic string: Two simple examples

Gaillard, Mary K.; Leedom, Jacob

doi:10.1016/j.nuclphysb.2017.12.013

Title: Anomaly cancellation in effective supergravity theories from the heterotic string: Two simple examples

Abstract

We use Pauli–Villars regularization to evaluate the conformal and chiral anomalies in the effective field theories from Z₃ and Z₇ compactifications of the heterotic string without Wilson lines. We show that parameters for Pauli–Villars chiral multiplets can be chosen in such a way that the anomaly is universal in the sense that its coefficient depends only on a single holomorphic function of the three diagonal moduli. It is therefore possible to cancel the anomaly by a generalization of the four-dimensional Green–Schwarz mechanism. In particular we are able to reproduce the results of a string calculation of the four-dimensional chiral anomaly for these two models.

Authors:: Gaillard, Mary K.; Leedom, Jacob

Publication Date:: Thu Feb 01 00:00:00 EST 2018

Research Org.:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

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

OSTI Identifier:: 1437789

Alternate Identifier(s):: OSTI ID: 1485077

Grant/Contract Number:: AC02-05CH11231

Resource Type:: Published Article

Journal Name:: Nuclear Physics. B

Additional Journal Information:: Journal Name: Nuclear Physics. B Journal Volume: 927 Journal Issue: C; Journal ID: ISSN 0550-3213

Publisher:: Elsevier

Country of Publication:: Netherlands

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats


                    Gaillard, Mary K., and Leedom, Jacob. Anomaly cancellation in effective supergravity theories from the heterotic string: Two simple examples.  Netherlands: N. p., 2018. 
Web.  doi:10.1016/j.nuclphysb.2017.12.013.

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                    Gaillard, Mary K., & Leedom, Jacob. Anomaly cancellation in effective supergravity theories from the heterotic string: Two simple examples.  Netherlands.  https://doi.org/10.1016/j.nuclphysb.2017.12.013

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                    Gaillard, Mary K., and Leedom, Jacob. Thu .  
"Anomaly cancellation in effective supergravity theories from the heterotic string: Two simple examples".  Netherlands.  https://doi.org/10.1016/j.nuclphysb.2017.12.013.

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@article{osti_1437789,

  title        = {Anomaly cancellation in effective supergravity theories from the heterotic string: Two simple examples},

  author       = {Gaillard, Mary K. and Leedom, Jacob},

  abstractNote = {We use Pauli–Villars regularization to evaluate the conformal and chiral anomalies in the effective field theories from Z3 and Z7 compactifications of the heterotic string without Wilson lines. We show that parameters for Pauli–Villars chiral multiplets can be chosen in such a way that the anomaly is universal in the sense that its coefficient depends only on a single holomorphic function of the three diagonal moduli. It is therefore possible to cancel the anomaly by a generalization of the four-dimensional Green–Schwarz mechanism. In particular we are able to reproduce the results of a string calculation of the four-dimensional chiral anomaly for these two models.},

  doi          = {10.1016/j.nuclphysb.2017.12.013},

  journal      = {Nuclear Physics. B},

  number       = C,

  volume       = 927,

  place        = {Netherlands},

  year         = {Thu Feb 01 00:00:00 EST 2018},

  month        = {Thu Feb 01 00:00:00 EST 2018}

}

Copy to clipboard

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Title: Anomaly cancellation in effective supergravity theories from the heterotic string: Two simple examples

Abstract

Citation Formats

Supersymmetric calculation of mixed Kähler-gauge and mixed Kähler-Lorentz anomalies journal, May 1994

Anomaly structure of supergravity and anomaly cancellation journal, September 2009

Linear supermultiplets and non-holomorphic gauge coupling functions journal, August 1991

Supergravity coupled to chiral matter at one loop journal, February 1994

A perfect match of MSSM-like orbifold and resolution models via anomalies journal, October 2011

Higher genus string corrections to gauge couplings journal, September 1991

Moduli dependence of string loop corrections to gauge coupling constants journal, May 1991

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

Moduli corrections to gravitational couplings from string loops journal, June 1992

Supergravity coupled to chiral matter at one loop. II. Chiral and Yang-Mills matter journal, January 1997

One-loop regularization of supergravity: The dilaton and the superfield formulation journal, March 2000

Pauli-Villars regularization of supergravity coupled to chiral and Yang-Mills matter journal, January 1995

Anomaly Structure of Regularized Supergravity journal, January 2015

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

Moduli corrections to gauge and gravitational couplings in four-dimensional superstrings journal, September 1992

The Superspace Geometry of Gravitational Chern–Simons Forms and Their Couplings to Linear Multiplets: A Self-Contained Presentation journal, February 1999

Localized anomalies in heterotic orbifolds journal, January 2003

Supergravity and matter: linear multiplet couplings and Kähler anomaly cancellation journal, July 1993

Axion couplings and effective cut-offs in superstring compactifications journal, August 1992

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

Pauli-Villars regularization of globally supersymmetric theories journal, March 1995

Supersymmetric calculation of mixed Kähler-gauge and mixed Kähler-Lorentz anomalies
journal, May 1994

Anomaly structure of supergravity and anomaly cancellation
journal, September 2009

Linear supermultiplets and non-holomorphic gauge coupling functions
journal, August 1991

Supergravity coupled to chiral matter at one loop
journal, February 1994

A perfect match of MSSM-like orbifold and resolution models via anomalies
journal, October 2011

Higher genus string corrections to gauge couplings
journal, September 1991

Moduli dependence of string loop corrections to gauge coupling constants
journal, May 1991

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

Moduli corrections to gravitational couplings from string loops
journal, June 1992

Supergravity coupled to chiral matter at one loop. II. Chiral and Yang-Mills matter
journal, January 1997

One-loop regularization of supergravity: The dilaton and the superfield formulation
journal, March 2000

Pauli-Villars regularization of supergravity coupled to chiral and Yang-Mills matter
journal, January 1995

Anomaly Structure of Regularized Supergravity
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Coordinate and Kähler σ-model anomalies and their cancellation in string effective field theories
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Moduli corrections to gauge and gravitational couplings in four-dimensional superstrings
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Localized anomalies in heterotic orbifolds
journal, January 2003

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