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:

 Tufts Univ., Medford, MA (United States); Univ. of Minnesota, Minneapolis, MN (United States)
 Univ. of Minnesota, Minneapolis, MN (United States)
 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 Volume: 99; Journal Issue: 12; Journal ID: ISSN 24700010
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Astronomy & Astrophysics; Physics; LargeN expansion in field theory; Lowerdimensional 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}
}
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