SUSY enhancement from T-branes

TL;DR

This paper uses F-theory geometry to explain how certain superconformal field theories experience supersymmetry enhancement along the RG flow, providing a geometric criterion for identifying such flows.

Contribution

It offers a geometric interpretation of supersymmetry enhancement via T-brane backgrounds and formulates an algebraic criterion to select supersymmetry-enhancing flows.

Findings

Identifies geometric conditions for supersymmetry enhancement

Provides a criterion to select supersymmetry-enhancing flows

Derives features of IR N=2 theories without maximization

Abstract

We use the F-theoretic engineering of four-dimensional rank-one superconformal field theories to provide a geometric understanding of the phenomenon of supersymmetry enhancement along the RG flow, recently observed by Maruyoshi and Song. In this context, the superpotential deformations responsible for such flows are interpreted as T-brane backgrounds and encoded in the geometry of elliptically-fibered fourfolds. We formulate a simple algebraic criterion to select all supersymmetry-enhancing flows and, without any maximization process, derive the main features of the corresponding N=2 theories in the infrared.