Supergravity M5-branes wrapped on Riemann surfaces and their QFT duals

TL;DR

This paper constructs 11D supergravity solutions for M5-branes wrapped on Riemann surfaces, revealing dual ${ m } $ ${ m } $ gauge theories, including non-conformal ones, and details the case of ${ m } $ ${ m } $ Yang-Mills.

Contribution

It provides explicit supergravity solutions for M5-branes wrapped on Riemann surfaces preserving ${ m } $ supersymmetry, advancing the understanding of their dual ${ m } $ gauge theories.

Findings

Solutions preserve ${ m } $ supersymmetry.

Duals include non-conformal ${ m } $ gauge theories.

Detailed analysis of ${ m } $ Yang-Mills case.

Abstract

We find solutions of 11-dimensional supergravity for M5-branes wrapped on Riemann surfaces. These solutions preserve ${\cal N} = 2$ four-dimensional supersymmetry. They are dual to ${\cal N} = 2$ gauge theories, including non-conformal field theories. We work out the case of ${\cal N} = 2$ Yang-Mills in detail.