# Grassmannian heterotic sigma model

Kreshchuk, Michael (Department of Physics, Tufts University, Medford, Massachusetts 02155, USA) (School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455, USA) ; Kurianovych, Evgeniy (School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455, USA) ; Shifman, Mikhail (School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455, USA) (William I. Fine Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455, USA)

11 June 2019

Abstract: We study the nonminimal supersymmetric heterotically deformed $N=\left(0,2\right)$ 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.

Published in: Physical Review D 99 (2019)