Non(anti)commutative N=2 Supersymmetric U(N) Gauge Theory and Deformed Instanton Equations

TL;DR

This paper investigates how non(anti)commutative deformations affect N=2 supersymmetric U(N) gauge theories, focusing on supersymmetry structure, correlators, and instanton equations, revealing new features of deformed supersymmetric models.

Contribution

It explicitly constructs deformed N=(1,1/2) supersymmetry in non(anti)commutative N=1 superspace and analyzes the impact on correlators and instanton equations.

Findings

Deformed supersymmetry algebra is explicitly constructed.

C-dependence of correlators is analyzed.

Deformation of instanton equations for U(2) is studied.

Abstract

We study deformed supersymmetry in N=2 supersymmetric U(N) gauge theory in non(anti)commutative N=1 superspace. Using the component formalism, we construct deformed N=(1,1/2) supersymmetry explicitly. Based on the deformed supersymmetry, we discuss the C-dependence of the correlators. We also study the C-deformation of the instanton equation for the gauge group U(2).