(1,0) superconformal models in six dimensions

TL;DR

This paper constructs six-dimensional (1,0) superconformal models with non-abelian gauge interactions for tensor multiplets, introducing three-form gauge potentials to mediate degrees of freedom without extra modes, and analyzes their spectra and phases.

Contribution

It introduces a novel construction of 6D (1,0) superconformal models with non-abelian gauge couplings using three-form potentials, expanding the understanding of such theories.

Findings

Models provide equations of motion with some having Lagrangian formulations

Spectral analysis of supersymmetric vacua conducted

Models are perturbatively valid in spontaneously broken phase

Abstract

We construct six-dimensional (1,0) superconformal models with non-abelian gauge couplings for multiple tensor multiplets. A crucial ingredient in the construction is the introduction of three-form gauge potentials which communicate degrees of freedom between the tensor multiplets and the Yang-Mills multiplet, but do not introduce additional degrees of freedom. Generically these models provide only equations of motions. For a subclass also a Lagrangian formulation exists, however it appears to exhibit indefinite metrics in the kinetic sector. We discuss several examples and analyze the excitation spectra in their supersymmetric vacua. In general, the models are perturbatively defined only in the spontaneously broken phase with the vev of the tensor multiplet scalars serving as the inverse coupling constants of the Yang-Mills multiplet. We briefly discuss the inclusion of hypermultiplets which complete the field content to that of superconformal (2,0) theories.