Instanton Equations for the Supersymmetric CP^{N-1} Sigma Model on Non(anti)commutative Superspace

TL;DR

This paper investigates the instanton equations in the supersymmetric CP^{N-1} sigma model within a non(anti)commutative superspace, demonstrating that the equations remain unchanged despite the deformation.

Contribution

It shows that the instanton equations are unaffected by superspace non(anti)commutativity, providing insight into the robustness of these equations under deformation.

Findings

The undeformed instanton equation remains consistent with the deformed equations of motion.

Superspace non(anti)commutativity does not alter the instanton equations.

The study confirms the stability of instanton solutions under superspace deformation.

Abstract

We study the instanton equation of the supersymmetric CP^{N-1} sigma model on non(anti)commutative superspace in two dimensions. We show that the undeformed instanton equation is consistent with the deformed equations of motion. Then we conclude that the instanton equation is not deformed by superspace non(anti)commutativity.