# On Grassmannian Heterotic Sigma Model

## TL;DR

This paper investigates the properties of a non-minimal supersymmetric heterotic sigma model with Grassmannian target space, deriving beta functions and establishing non-renormalization theorems to understand its quantum behavior.

## Contribution

It develops a superfield formalism for the Grassmannian heterotic sigma model, computes its beta functions up to two loops, and proves a non-renormalization theorem, extending results from flat to curved target spaces.

## Key findings

- Beta functions calculated up to two loops.
- Non-renormalization theorem established.
- Analysis of 't Hooft and Veneziano limits.

## Abstract

We study the non-minimal supersymmetric heterotically deformed $\mathcal{N}=(0,2)$ sigma model with the Grassmannian target space $\mathcal{G}_{M,N}$. 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 non-renormalization 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.