6D Supersymmetry, Projective Superspace and 4D, N=1 Superfields

TL;DR

This paper develops a formulation for 6D, N=1 hypermultiplets using 4D superfields, introduces a projective superspace approach, and explores their coupling to Yang-Mills multiplets with detailed quantization analysis.

Contribution

It presents a novel 6D, N=1 superspace formulation for hypermultiplets and their coupling to gauge fields, expanding the tools for higher-dimensional supersymmetric theories.

Findings

Established 6D, N=1 hypermultiplet formulation in 4D superfield language

Developed a 6D, N=1 projective superspace framework

Analyzed covariant superspace quantization of these multiplets

Abstract

In this note, we establish the formulation of 6D, N=1 hypermultiplets in terms of 4D chiral-nonminimal (CNM) scalar multiplets. The coupling of these to 6D, N=1 Yang-Mills multiplets is described. A 6D, N=1 projective superspace formulation is given in which the above multiplets naturally emerge. The covariant superspace quantization of these multiplets is studied in details.