T-branes, Anomalies and Moduli Spaces in 6D SCFTs

Understand

The worldvolume theory of M5-branes on an ADE singularity $\mathbb{R}^5/\Gamma_G$ can be Higgsed in various ways, corresponding to the possible nilpotent orbits of $G$.

• In the F-theory dual picture, this corresponds to activating T-brane data along two stacks of 7-branes and yields a tensor branch realization for a large class of 6D SCFTs.
• In this paper, we show that the moduli spaces and anomalies of these T-brane theories are related in a simple, universal way to data of the nilpotent orbits.
• This often works in surprising ways and gives a nontrivial confirmation of the conjectured properties of T-branes in F-theory.