N=1 superfield description of vector-tensor couplings in six dimensions

TL;DR

This paper develops an N=1 superfield framework for describing vector-tensor couplings in six-dimensional supersymmetric theories, facilitating connections to supergravity and lower-dimensional models.

Contribution

It introduces a superfield formulation for 6D vector-tensor couplings derived from projective superspace, aligning with known gauge and Chern-Simons actions.

Findings

Superfield expressions are consistent with 6D gauge theories.

Dimensional reduction reproduces 5D Chern-Simons actions.

Provides a basis for 6D supergravity superfield descriptions.

Abstract

We express supersymmetric couplings among the vector and the tensor multiplets in six dimensions (6D) in terms of N=1 superfields. The superfield description is derived from the invariant action in the projective superspace. The obtained expression is consistent with the known superfield actions of 6D supersymmetric gauge theory and 5D Chern-Simons theory after the dimensional reduction. Our result provides a crutial clue to the N=1 superfield description of 6D supergravity.