# T-branes and Matrix Models

## TL;DR

This paper reveals a deep connection between T-branes with constant worldvolume fields and the equations describing longitudinal five-branes in the BFSS matrix model, providing new solution methods and physical insights.

## Contribution

It establishes an equivalence between T-brane equations and BFSS matrix model equations, enabling novel solution constructions and interpretations.

## Key findings

- Explicit solutions to Banks-Seiberg-Shenker equations
- T-branes can be described as Abelian branes at angles
- Connection clarifies T-brane physics beyond string scale

## Abstract

We find that the equations describing T-branes with constant worldvolume fields are identical to the equations found by Banks, Seiberg and Shenker twenty years ago to describe longitudinal five-branes in the BFSS matrix model. Besides giving new ways to construct T-brane solutions, this connection also helps elucidate the physics of T-branes in the regime of parameters where their worldvolume fields are larger than the string scale. We construct explicit solutions to the Banks-Seiberg-Shenker equations and show that the corresponding T-branes admit an alternative description as Abelian branes at angles.