Localized intersections of M5-branes and four-dimensional superconformal field theories

TL;DR

This paper constructs localized intersecting M5-brane solutions that are dual to four-dimensional superconformal field theories, advancing understanding of brane configurations and their field theory duals.

Contribution

It presents new localized intersection solutions of M5-branes preserving supersymmetry, linking them to N=2 superconformal field theories and their generalizations.

Findings

Localized M5-brane intersection solutions preserving supersymmetry.

Duality with N_f=2N_c Seiberg-Witten superconformal theories.

Connections to D3-branes with A_k singularities.

Abstract

We write supersymmetry preserving conditions for infinite M5-branes intersecting on a (3+1)-dimensional space. In contrast to previously known solutions, these intersections are completely localized. We solve the equations for a particular class of configurations which in the near-horizon decoupling limit are dual to N_f = 2N_c Seiberg-Witten superconformal field theories with gauge group SU(N) and generalisations to SU(N)^n. We also discuss the relationship to D3-branes in the presence of an A_k singularity.