One-loop divergences in the two-dimensional non-anticommutative supersymmetric sigma-model

TL;DR

This paper investigates the quantum corrections in a two-dimensional non-anticommutative supersymmetric sigma-model, focusing on one-loop divergences and the structure of the deformed supersymmetry algebra.

Contribution

It constructs differential operators for the deformed supersymmetry and computes one-loop quantum corrections, providing a detailed analysis of divergences in the model.

Findings

Explicit form of one-loop divergences derived

Differential operators successfully reproduce classical action

Quantum corrections expressed in compact form

Abstract

We discuss the structure of the non-anticommutative N=2 non-linear sigma-model in two dimensions, constructing differential operators which implement the deformed supersymmetry generators and using them to reproduce the classical action. We then compute the one-loop quantum corrections and express them in a more compact form using the differential operators.