The edge of supersymmetry: Stability walls in heterotic theory

Anderson, Lara B.; Gray, James; Lukas, Andre; Ovrut, Burt

doi:10.1016/j.physletb.2009.05.025

Title: The edge of supersymmetry: Stability walls in heterotic theory

Abstract

We explicitly describe, in the language of four-dimensional N = 1 supersymmetric field theory, what happens when the moduli of a heterotic Calabi-Yau compactification change so as to make the internal non-Abelian gauge fields non-supersymmetric. At the edge of the region in Kähler moduli space where supersymmetry can be preserved, an additional anomalous U(1) gauge symmetry appears in the four-dimensional theory. The D-term contribution to the scalar potential associated to this U(1) attempts to force the system back into a supersymmetric configuration and provides a consistent low-energy description of gauge bundle stability.

Authors:

Anderson, Lara B. ^[1]; Gray, James ^[2]; Lukas, Andre ^[2]; Ovrut, Burt ^[1]

Institute for Advanced Study, Princeton, NJ (United States). School of Natural Sciences; Univ. of Pennsylvania, Philadelphia, PA (United States)
Oxford Univ., Oxford (United Kingdom)

Publication Date:: Fri May 15 00:00:00 EDT 2009

Research Org.:: Univ. of Pennsylvania, Philadelphia, PA (United States)

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

OSTI Identifier:: 1201592

Grant/Contract Number:: FG02-95ER40893

Resource Type:: Accepted Manuscript

Journal Name:: Physics Letters. B

Additional Journal Information:: Journal Volume: 677; Journal Issue: 3-4; Journal ID: ISSN 0370-2693

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; four-dimensional N=1 supersymmetric field theory

Citation Formats


                    Anderson, Lara B., Gray, James, Lukas, Andre, and Ovrut, Burt. The edge of supersymmetry: Stability walls in heterotic theory.  United States: N. p., 2009. 
Web.  doi:10.1016/j.physletb.2009.05.025.

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                    Anderson, Lara B., Gray, James, Lukas, Andre, & Ovrut, Burt. The edge of supersymmetry: Stability walls in heterotic theory.  United States.  https://doi.org/10.1016/j.physletb.2009.05.025

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                    Anderson, Lara B., Gray, James, Lukas, Andre, and Ovrut, Burt. Fri .  
"The edge of supersymmetry: Stability walls in heterotic theory".  United States.  https://doi.org/10.1016/j.physletb.2009.05.025.  https://www.osti.gov/servlets/purl/1201592.

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@article{osti_1201592,

  title        = {The edge of supersymmetry: Stability walls in heterotic theory},

  author       = {Anderson, Lara B. and Gray, James and Lukas, Andre and Ovrut, Burt},

  abstractNote = {We explicitly describe, in the language of four-dimensional N = 1 supersymmetric field theory, what happens when the moduli of a heterotic Calabi-Yau compactification change so as to make the internal non-Abelian gauge fields non-supersymmetric. At the edge of the region in Kähler moduli space where supersymmetry can be preserved, an additional anomalous U(1) gauge symmetry appears in the four-dimensional theory. The D-term contribution to the scalar potential associated to this U(1) attempts to force the system back into a supersymmetric configuration and provides a consistent low-energy description of gauge bundle stability.},

  doi          = {10.1016/j.physletb.2009.05.025},

  journal      = {Physics Letters. B},

  number       = 3-4,

  volume       = 677,

  place        = {United States},

  year         = {Fri May 15 00:00:00 EDT 2009},

  month        = {Fri May 15 00:00:00 EDT 2009}

}

Copy to clipboard

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Title: The edge of supersymmetry: Stability walls in heterotic theory

Abstract

Citation Formats

Vacuum configurations for superstrings journal, January 1985

On the low-energy limit of superstring theories journal, April 1986

Low-energy effective action for the superstring journal, August 1986

Model-independent analysis of soft terms in effective supergravity and in string theory journal, June 1993

On effective field theories describing (2, 2) vacua of the heterotic string journal, January 1990

Exactly solvable (0,2) supersymmetric string vacua with GUT gauge groups journal, November 1995

A three-generation superstring model journal, December 1986

Superstring models with SU(5) and SO(10) unifying groups journal, September 1986

Couplings in the heterotic superconformal three generation model journal, October 1989

A heterotic standard model journal, July 2005

The exact MSSM spectrum from string theory journal, May 2006

Tri-linear couplings in an heterotic minimal supersymmetric Standard Model journal, June 2006

Strong coupling expansion of Calabi-Yau compactification journal, July 1996

On the four-dimensional effective action of strongly coupled heterotic string theory journal, October 1998

Universe as a domain wall journal, March 1999

Nonstandard embedding and five-branes in heterotic M theory journal, April 1999

Heterotic M-theory in five dimensions journal, July 1999

Kähler cone substructure journal, January 1998

Stability of the minimal heterotic standard model bundle journal, June 2006

Stabilizing moduli with a positive cosmological constant in heterotic M-theory journal, July 2006

Heterotic standard model moduli journal, January 2006

Vector Bundle Moduli and Small Instanton Transitions journal, June 2002

Fayet-Iliopoulos terms in string theory journal, January 1987

Nonperturbative effects on the string world sheet (II) journal, January 1987

Aspects of (2, 0) string compactifications journal, January 1988

Heterotic anomaly cancellation in five dimensions journal, January 2000

Loop-corrected compactifications of the heterotic string with line bundles journal, June 2005

Some three generation (0,2) Calabi-Yau models journal, April 1995

Target space duality for (0,2) compactifications journal, March 1998

Chirality Change in String Theory journal, June 2004

Heterotic GUT and Standard Model vacua from simply connected Calabi–Yau manifolds journal, September 2006

Heterotic compactification, an algorithmic approach journal, July 2007

Monad bundles in heterotic string compactifications journal, July 2008

On the existence of hermitian-yang-mills connections in stable vector bundles journal, January 1986

A note on our previous paper: On the existence of Hermitian Yang–Mills connections in stable vector bundles journal, July 1989

Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles journal, January 1985

Moduli dependent spectra of heterotic compactifications journal, September 2004

The Particle Spectrum of Heterotic Compactifications journal, December 2004

The spectra of heterotic standard model vacua journal, June 2005

Group theory for unified model building journal, December 1981

On the existence of hermitian-yang-mills connections in stable vector bundles journal, January 1986

Heterotic GUT and Standard Model vacua from simply connected Calabi–Yau manifolds journal, September 2006

The Moduli of Reducible Vector Bundles journal, March 2004

Stabilizing moduli with a positive cosmological constant in heterotic M-theory journal, July 2006

Vector Bundle Moduli and Small Instanton Transitions text, January 2002

The Particle Spectrum of Heterotic Compactifications text, January 2004

Higgs Doublets, Split Multiplets and Heterotic SU(3)_C x SU(2)_L x U(1)_Y Spectra text, January 2004

Instanton Moduli in String Theory text, January 2004

The Spectra of Heterotic Standard Model Vacua text, January 2004

Moduli Dependent mu-Terms in a Heterotic Standard Model text, January 2005

Target Space Duality for (0,2) Compactifications text, January 1997

Non-vanishing heterotic superpotentials on elliptic fibrations journal, September 2018

Stability walls in heterotic theories journal, September 2009

Heterotic line bundle standard models journal, June 2012

Fibrations in CICY threefolds journal, October 2017

The mass Spectra, Hierarchy and Cosmology of b-l mssm Heterotic Compactifications journal, April 2011

The moduli space of heterotic line bundle models: a case study for the tetra-quadric journal, March 2014

A heterotic standard model with B − L symmetry and a stable proton journal, June 2014

Stability Walls in Heterotic Theories text, January 2009

The Mass Spectra, Hierarchy and Cosmology of B-L MSSM Heterotic Compactifications text, January 2010

The Moduli Space of Heterotic Line Bundle Models: a Case Study for the Tetra-Quadric text, January 2013

A Heterotic Standard Model with B-L Symmetry and a Stable Proton text, January 2014

Fibrations in CICY Threefolds text, January 2017

Non-vanishing Heterotic Superpotentials on Elliptic Fibrations text, January 2018

Heterotic models from vector bundles on toric Calabi-Yau manifolds journal, May 2010

Moduli identification methods in Type II compactifications journal, July 2018

New evidence for (0,2) target space duality journal, January 2017

An Algorithmic Approach to String Phenomenology journal, January 2010

An Algorithmic Approach to Heterotic String Phenomenology text, January 2010

Quiver Structure of Heterotic Moduli text, January 2012

Vector-Like Pairs and Brill--Noether Theory text, January 2016

Vacuum configurations for superstrings
journal, January 1985

On the low-energy limit of superstring theories
journal, April 1986

Low-energy effective action for the superstring
journal, August 1986

Model-independent analysis of soft terms in effective supergravity and in string theory
journal, June 1993

On effective field theories describing (2, 2) vacua of the heterotic string
journal, January 1990

Exactly solvable (0,2) supersymmetric string vacua with GUT gauge groups
journal, November 1995

A three-generation superstring model
journal, December 1986

Superstring models with SU(5) and SO(10) unifying groups
journal, September 1986

Couplings in the heterotic superconformal three generation model
journal, October 1989

A heterotic standard model
journal, July 2005

The exact MSSM spectrum from string theory
journal, May 2006

Tri-linear couplings in an heterotic minimal supersymmetric Standard Model
journal, June 2006

Strong coupling expansion of Calabi-Yau compactification
journal, July 1996

On the four-dimensional effective action of strongly coupled heterotic string theory
journal, October 1998

Universe as a domain wall
journal, March 1999

Nonstandard embedding and five-branes in heterotic M theory
journal, April 1999

Heterotic M-theory in five dimensions
journal, July 1999

Kähler cone substructure
journal, January 1998

Stability of the minimal heterotic standard model bundle
journal, June 2006

Stabilizing moduli with a positive cosmological constant in heterotic M-theory
journal, July 2006

Heterotic standard model moduli
journal, January 2006

Vector Bundle Moduli and Small Instanton Transitions
journal, June 2002

Fayet-Iliopoulos terms in string theory
journal, January 1987

Nonperturbative effects on the string world sheet (II)
journal, January 1987

Aspects of (2, 0) string compactifications
journal, January 1988

Heterotic anomaly cancellation in five dimensions
journal, January 2000

Loop-corrected compactifications of the heterotic string with line bundles
journal, June 2005

Some three generation (0,2) Calabi-Yau models
journal, April 1995

Target space duality for (0,2) compactifications
journal, March 1998

Chirality Change in String Theory
journal, June 2004

Heterotic GUT and Standard Model vacua from simply connected Calabi–Yau manifolds
journal, September 2006

Heterotic compactification, an algorithmic approach
journal, July 2007

Monad bundles in heterotic string compactifications
journal, July 2008

On the existence of hermitian-yang-mills connections in stable vector bundles
journal, January 1986

A note on our previous paper: On the existence of Hermitian Yang–Mills connections in stable vector bundles
journal, July 1989

Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
journal, January 1985

Moduli dependent spectra of heterotic compactifications
journal, September 2004

The Particle Spectrum of Heterotic Compactifications
journal, December 2004

The spectra of heterotic standard model vacua
journal, June 2005

Group theory for unified model building
journal, December 1981

On the existence of hermitian-yang-mills connections in stable vector bundles
journal, January 1986

Heterotic GUT and Standard Model vacua from simply connected Calabi–Yau manifolds
journal, September 2006

The Moduli of Reducible Vector Bundles
journal, March 2004

Stabilizing moduli with a positive cosmological constant in heterotic M-theory
journal, July 2006

Vector Bundle Moduli and Small Instanton Transitions
text, January 2002

The Particle Spectrum of Heterotic Compactifications
text, January 2004

Higgs Doublets, Split Multiplets and Heterotic SU(3)_C x SU(2)_L x U(1)_Y Spectra
text, January 2004

Instanton Moduli in String Theory
text, January 2004

The Spectra of Heterotic Standard Model Vacua
text, January 2004

Moduli Dependent mu-Terms in a Heterotic Standard Model
text, January 2005

Target Space Duality for (0,2) Compactifications
text, January 1997

Non-vanishing heterotic superpotentials on elliptic fibrations
journal, September 2018

Stability walls in heterotic theories
journal, September 2009

Heterotic line bundle standard models
journal, June 2012

Fibrations in CICY threefolds
journal, October 2017

The mass Spectra, Hierarchy and Cosmology of b-l mssm Heterotic Compactifications
journal, April 2011

The moduli space of heterotic line bundle models: a case study for the tetra-quadric
journal, March 2014

A heterotic standard model with B − L symmetry and a stable proton
journal, June 2014

Stability Walls in Heterotic Theories
text, January 2009

The Mass Spectra, Hierarchy and Cosmology of B-L MSSM Heterotic Compactifications
text, January 2010

The Moduli Space of Heterotic Line Bundle Models: a Case Study for the Tetra-Quadric
text, January 2013

A Heterotic Standard Model with B-L Symmetry and a Stable Proton
text, January 2014

Fibrations in CICY Threefolds
text, January 2017

Non-vanishing Heterotic Superpotentials on Elliptic Fibrations
text, January 2018

Heterotic models from vector bundles on toric Calabi-Yau manifolds
journal, May 2010

Moduli identification methods in Type II compactifications
journal, July 2018

New evidence for (0,2) target space duality
journal, January 2017

An Algorithmic Approach to String Phenomenology
journal, January 2010

An Algorithmic Approach to Heterotic String Phenomenology
text, January 2010

Quiver Structure of Heterotic Moduli
text, January 2012

Vector-Like Pairs and Brill--Noether Theory
text, January 2016