New superconformal models in six dimensions: Gauge group and representation structure

TL;DR

This paper reviews recent advances in constructing six-dimensional (1,0) superconformal models with non-abelian tensor fields, focusing on solving consistency conditions and providing explicit examples.

Contribution

It introduces a comprehensive classification of superconformal models in six dimensions with non-abelian tensors, including solutions to generalized Jacobi identities.

Findings

Solved generalized Jacobi identities for gauge consistency

Presented a large class of explicit superconformal models

Enhanced understanding of gauge group and representation structures

Abstract

We review recent progress in the construction and classification of six-dimensional (1,0) superconformal models with non-abelian tensor fields. Here we solve the generalized Jacobi identities which are required for consistency of the non-abelian vector/tensor gauge system and we present a large class of explicit examples.