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Title: Grassmannian heterotic sigma model

Abstract

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.

Authors:
; ;
Publication Date:
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.
Kreshchuk, Michael, Kurianovych, Evgeniy, & Shifman, Mikhail. Grassmannian heterotic sigma model. United States. https://doi.org/10.1103/PhysRevD.99.125005
Kreshchuk, Michael, Kurianovych, Evgeniy, and Shifman, Mikhail. Tue . "Grassmannian heterotic sigma model". United States. https://doi.org/10.1103/PhysRevD.99.125005.
@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}
}

Works referenced in this record:

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

  • Golo, V. L.; Perelomov, A. M.
  • Letters in Mathematical Physics, Vol. 2, Issue 6
  • DOI: 10.1007/BF00398500

The axial vector current in beta decay
journal, May 1960


(0,2) Duality
journal, January 2003

  • Adams, Allan; Basu, Anirban; Sethi, Savdeep
  • Advances in Theoretical and Mathematical Physics, Vol. 7, Issue 5
  • DOI: 10.4310/ATMP.2003.v7.n5.a5

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

  • Chen, Jin; Cui, Xiaoyi; Shifman, Mikhail
  • International Journal of Modern Physics A, Vol. 31, Issue 27
  • DOI: 10.1142/S0217751X16501475

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

  • Melnikov, Ilarion
  • Symmetry, Integrability and Geometry: Methods and Applications
  • DOI: 10.3842/SIGMA.2012.068

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

  • Jia, Bei; Sharpe, Eric; Wu, Ruoxu
  • Journal of High Energy Physics, Vol. 2014, Issue 8
  • DOI: 10.1007/JHEP08(2014)017

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

  • Holten, J. W.
  • Zeitschrift für Physik C Particles and Fields, Vol. 27, Issue 1
  • DOI: 10.1007/BF01642481

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

  • Chen, Jin; Cui, Xiaoyi; Shifman, Mikhail
  • Journal of Physics A: Mathematical and Theoretical, Vol. 50, Issue 2
  • DOI: 10.1088/1751-8121/50/2/025401

(0, 2) trialities
journal, March 2014

  • Gadde, Abhijit; Gukov, Sergei; Putrov, Pavel
  • Journal of High Energy Physics, Vol. 2014, Issue 3
  • DOI: 10.1007/JHEP03(2014)076

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


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