Leading low-energy effective action in the 6D hypermultiplet theory on a vector/tensor background

TL;DR

This paper develops a supersymmetric superfield proper-time method to compute the leading low-energy effective action in a 6D hypermultiplet model coupled to vector/tensor backgrounds, revealing key low-energy dynamics.

Contribution

It introduces a manifestly supersymmetric approach to calculate the leading low-energy effective action in 6D hypermultiplet theories with vector/tensor couplings.

Findings

Derived the leading low-energy effective action explicitly.

Established a supersymmetric superfield proper-time technique.

Provided insights into the low-energy dynamics of 6D hypermultiplet models.

Abstract

We consider a six dimensional (1,0) hypermultiplet model coupled to an external field of vector/tensor system and study the structure of the low-energy effective action of this model. Manifestly a (1,0) supersymmetric procedure of computing the effective action is developed in the framework of the superfield proper-time technique. The leading low-energy contribution to the effective action is calculated.