Harmonic Superspace for Ali-Ilahi's ADHM Instanton Sigma Model

TL;DR

This paper develops a full off-shell harmonic superspace formalism for Ali-Ilahi's ADHM instanton sigma model, extending previous constructions and providing a dual perspective to Witten's earlier work.

Contribution

It introduces a comprehensive off-shell harmonic superspace formulation for Ali-Ilahi's ADHM instanton sigma model, complementing and extending prior models.

Findings

Complete off-shell harmonic superspace formalism developed.

Provides a dual perspective to Witten's original model.

Enhances understanding of ADHM instanton sigma models.

Abstract

ADHM Yang-Mills instantons are extended field theoretical objects. These are more general than the more familiar 't Hooft Yang-Mills instantons. Their counter parts exist in string theory in terms of sigma models. Nearly three decades ago Witten constructed a (0,4) supersymmetric linear sigma model incorporating ADHM instantons. Witten's construction was in component form. Galperin and Sokatchev constructed the corresponding off-shell supersymmetric version using the harmonic superspace. Recently Ali and Ilahi constructed an ADHM instanton linear sigma model that is complementary, in the sense of being dual, to the original model constructed by Witten. Full (0,4) supersymmetric off-shell harmonic superspace formalism for Ali-Ilahi's complementary ADHM instanton sigma model is developed in this note.