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arXiv · 1612.06399

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

Noppadol Mekareeya·Tom Rudelius·Alessandro Tomasiello
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Abstract

The worldvolume theory of M5-branes on an ADE singularity $\mathbb{R}^5/Γ_G$ 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. We use this result to formally engineer a class of theories where the IIA picture naïvely breaks down. We also give a proof of the $a$-theorem for all RG flows within this class of T-brane theories.

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Noppadol Mekareeya, Tom Rudelius, Alessandro Tomasiello. 2017-11-24. T-branes, Anomalies and Moduli Spaces in 6D SCFTs. https://doi.org/10.1007/jhep10(2017)158

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