Grassmannian heterotic sigma model

Kreshchuk, Michael; Kurianovych, Evgeniy; Shifman, Mikhail

doi:10.1103/PhysRevD.99.125005

Title: Grassmannian heterotic sigma model

Abstract

We study the nonminimal supersymmetric heterotically deformed N = (0,2) sigma model with the Grassmannian target space G_M,N. To develop the appropriate superfield formalism, we begin with a simplified model with flat target space, find its beta function up to two loops, and prove a nonrenormalization theorem. Then we generalize the results to the full model with the Grassmannian target space. Using the geometric formulation, we calculate the beta functions and discuss the ’t Hooft and Veneziano limits.

Authors:: Kreshchuk, Michael; Kurianovych, Evgeniy; Shifman, Mikhail

Publication Date:: 2019-06-11

Research Org.:: Univ. of Minnesota, Minneapolis, MN (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1525554

Alternate Identifier(s):: OSTI ID: 1611691

Grant/Contract Number:: SC0011842; 0000240346

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 99 Journal Issue: 12; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Astronomy & Astrophysics; Physics; Large-N expansion in field theory; Lower-dimensional field theories; Noncommutative field theories; Sigma models; Supersymmetric field theories

Citation Formats


                    Kreshchuk, Michael, Kurianovych, Evgeniy, and Shifman, Mikhail. Grassmannian heterotic sigma model.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevD.99.125005.

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                    Kreshchuk, Michael, Kurianovych, Evgeniy, & Shifman, Mikhail. Grassmannian heterotic sigma model.  United States.  https://doi.org/10.1103/PhysRevD.99.125005

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                    Kreshchuk, Michael, Kurianovych, Evgeniy, and Shifman, Mikhail. Tue .  
"Grassmannian heterotic sigma model".  United States.  https://doi.org/10.1103/PhysRevD.99.125005.

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@article{osti_1525554,

  title        = {Grassmannian heterotic sigma model},

  author       = {Kreshchuk, Michael and Kurianovych, Evgeniy and Shifman, Mikhail},

  abstractNote = {We study the nonminimal supersymmetric heterotically deformed N = (0,2) sigma model with the Grassmannian target space GM,N. To develop the appropriate superfield formalism, we begin with a simplified model with flat target space, find its beta function up to two loops, and prove a nonrenormalization theorem. Then we generalize the results to the full model with the Grassmannian target space. Using the geometric formulation, we calculate the beta functions and discuss the ’t Hooft and Veneziano limits.},

  doi          = {10.1103/PhysRevD.99.125005},

  journal      = {Physical Review D},

  number       = 12,

  volume       = 99,

  place        = {United States},

  year         = {2019},

  month        = {6}

}

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Title: Grassmannian heterotic sigma model

Abstract

Citation Formats

Interaction of goldstone particles in two dimensions. Applications to ferromagnets and massive Yang-Mills fields journal, October 1975

A few remarks on chiral theories with sophisticated topology journal, November 1978

The axial vector current in beta decay journal, May 1960

(0,2) Duality journal, January 2003

Chiral models: Geometrical aspects journal, February 1987

Some aspects of a unified approach to gauge, dual and Gribov theories journal, December 1976

Supersymmetric chiral models: Geometrical aspects journal, March 1989

The supersymmetric non-linear σ-model in four dimensions and its coupling to supergravity journal, April 1978

Naturalness versus supersymmetric non-renormalization theorems journal, December 1993

Two-dimensional sigma models: Modelling non-perturbative effects in quantum chromodynamics journal, December 1984

Large- N solution of the heterotic weighted nonlinear sigma-model journal, December 2010

Supersymmetric form of the nonlinear σ model in two dimensions journal, November 1977

Chiral algebras of (0, 2) models journal, January 2012

Fusion Residues journal, December 1991

N = ( 0 , 2 ) supersymmetry and a nonrenormalization theorem journal, November 2011

More on two-dimensional O ( N ) models with N = ( 0 , 1 ) supersymmetry journal, March 2016

Non-local charges for non-linear sigma models on grassmann manifolds journal, January 1985

On isometry anomalies in minimal 𝒩 = (0,1) and 𝒩 = (0,2) sigma models journal, September 2016

N = ( 0 , 2 ) deformation of the C P ( 1 ) model: Two-dimensional analog of N = 1 Yang-Mills theory in four dimensions journal, February 2012

SU(N) invariant non-linear σ models journal, December 1978

Grassmannian σ-models and topological-anti-topological fusion journal, April 1995

Chiral Algebras of (0, 2) Models: Beyond Perturbation Theory journal, June 2008

Recent Developments in (0,2) Mirror Symmetry journal, October 2012

Large- N solution of the heterotic N = ( 0 , 2 ) two-dimensional C P ( N − 1 ) model journal, June 2008

Heterotic flux tubes in N = 2 supersymmetric QCD with N = 1 preserving deformations journal, June 2008

Large- N solution of the heterotic N = ( 0 , 1 ) two-dimensional O ( N ) sigma model journal, May 2010

Perturbative aspects of heterotically deformed C P ( N − 1 ) sigma model journal, November 2010

Notes on nonabelian (0,2) theories and dualities journal, August 2014

Resurgence and dynamics of O(N) and Grassmannian sigma models journal, September 2015

Nonlinear σ models of symmetric spaces journal, December 1979

Supersymmetric Q -lumps in the Grassmannian nonlinear sigma models journal, January 2007

Exact Gell-Mann-Low function of supersymmetric Kähler sigma models journal, December 1984

Two-dimensional models with (0,2) supersymmetry: perturbative aspects journal, January 2007

N = ( 0 , 2 ) deformation of (2, 2) sigma models: Geometric structure, holomorphic anomaly, and exact β functions journal, August 2014

Structure of Grassmannian σ-models journal, March 1985

Anomalies of minimal ${ \mathcal N }=(0,1)$ and ${ \mathcal N }=(0,2)$ sigma models on homogeneous spaces journal, December 2016

(0, 2) trialities journal, March 2014

A conjecture concerning positive Ricci curvature and the Witten genus journal, January 1996

Classical solutions in two-dimensional supersymmetric field theories journal, November 1977

Interaction of goldstone particles in two dimensions. Applications to ferromagnets and massive Yang-Mills fields
journal, October 1975

A few remarks on chiral theories with sophisticated topology
journal, November 1978

The axial vector current in beta decay
journal, May 1960

(0,2) Duality
journal, January 2003

Chiral models: Geometrical aspects
journal, February 1987

Some aspects of a unified approach to gauge, dual and Gribov theories
journal, December 1976

Supersymmetric chiral models: Geometrical aspects
journal, March 1989

The supersymmetric non-linear σ-model in four dimensions and its coupling to supergravity
journal, April 1978

Naturalness versus supersymmetric non-renormalization theorems
journal, December 1993

Two-dimensional sigma models: Modelling non-perturbative effects in quantum chromodynamics
journal, December 1984

Large- $N$ solution of the heterotic weighted nonlinear sigma-model
journal, December 2010

Supersymmetric form of the nonlinear $σ$ model in two dimensions
journal, November 1977

Chiral algebras of (0, 2) models
journal, January 2012

Fusion Residues
journal, December 1991

$N = (0, 2)$ supersymmetry and a nonrenormalization theorem
journal, November 2011

More on two-dimensional $O (N)$ models with $N = (0, 1)$ supersymmetry
journal, March 2016

Non-local charges for non-linear sigma models on grassmann manifolds
journal, January 1985

On isometry anomalies in minimal 𝒩 = (0,1) and 𝒩 = (0,2) sigma models
journal, September 2016

$N = (0, 2)$ deformation of the $C P (1)$ model: Two-dimensional analog of $N = 1$ Yang-Mills theory in four dimensions
journal, February 2012

SU(N) invariant non-linear σ models
journal, December 1978

Grassmannian σ-models and topological-anti-topological fusion
journal, April 1995

Chiral Algebras of (0, 2) Models: Beyond Perturbation Theory
journal, June 2008

Recent Developments in (0,2) Mirror Symmetry
journal, October 2012

Large- $N$ solution of the heterotic $N = (0, 2)$ two-dimensional $C P (N - 1)$ model
journal, June 2008

Heterotic flux tubes in $N = 2$ supersymmetric QCD with $N = 1$ preserving deformations
journal, June 2008

Large- $N$ solution of the heterotic $N = (0, 1)$ two-dimensional $O (N)$ sigma model
journal, May 2010

Perturbative aspects of heterotically deformed $C P (N - 1)$ sigma model
journal, November 2010

Notes on nonabelian (0,2) theories and dualities
journal, August 2014

Resurgence and dynamics of O(N) and Grassmannian sigma models
journal, September 2015

Nonlinear $σ$ models of symmetric spaces
journal, December 1979

Supersymmetric $Q$ -lumps in the Grassmannian nonlinear sigma models
journal, January 2007

Exact Gell-Mann-Low function of supersymmetric Kähler sigma models
journal, December 1984

Two-dimensional models with (0,2) supersymmetry: perturbative aspects
journal, January 2007

$N = (0, 2)$ deformation of (2, 2) sigma models: Geometric structure, holomorphic anomaly, and exact $β$ functions
journal, August 2014

Structure of Grassmannian σ-models
journal, March 1985

Anomalies of minimal ${ \mathcal N }=(0,1)$ and ${ \mathcal N }=(0,2)$ sigma models on homogeneous spaces
journal, December 2016

(0, 2) trialities
journal, March 2014

A conjecture concerning positive Ricci curvature and the Witten genus
journal, January 1996

Classical solutions in two-dimensional supersymmetric field theories
journal, November 1977