On Holomorphic Effective Actions of Hypermultiplets Coupled to External Gauge Superfields

TL;DR

This paper investigates the structure of holomorphic effective actions for hypermultiplets interacting with background super Yang-Mills fields, providing a general form applicable to various gauge groups and representations.

Contribution

It derives a general form of the holomorphic effective action for hypermultiplets in arbitrary representations of semisimple compact Lie groups, including applications to specific gauge groups.

Findings

General form of holomorphic effective action obtained

Applications to hypermultiplets in fundamental and adjoint representations

Results applicable to SU(n), SO(n), Sp(n) groups

Abstract

We study the structure of holomorphic effective action for hypermultiplet models interacting with background super Yang-Mills fields. A general form of holomorphic effective action is found for hypermultiplet belonging to arbitrary representation of any semisimple compact Lie group spontaneously broken to its maximal abelian subgroup. The applications of obtained results to hypermultiplets in fundamental and adjoint representations of the SU(n), SO(n), Sp(n) groups are considered.