Partially twisted superconformal M5 brane in R-symmetry gauge field backgrounds

TL;DR

This paper derives the action for a curved superconformal abelian M5 brane with background R-symmetry gauge fields, enabling partial twisting on curved manifolds and leading to new 5d SYM theories upon dimensional reduction.

Contribution

It provides explicit actions for superconformal M5 branes on curved manifolds with R-symmetry backgrounds, including partial twisting and dimensional reduction to 5d SYM.

Findings

Derived M5 brane actions on $M_{1,1} imes S^4$ and $M_{1,2} imes S^3$ with real fields.

Performed dimensional reduction to obtain real 5d SYM actions.

Enabled partial twisting by choosing specific R-symmetry groups.

Abstract

We obtain the action for a curved superconformal abelian M5 brane with the background R-symmetry gauge field turned on. We then restrict ourselves to superconformal M5 brane on a sphere times flat Minkowski space. We choose R-symmetry SO(1,4) instead of SO(5), which enables us to partially twist on Minkowski space and replace it by some curved Lorentzian manifold. We obtain M5 brane actions on $M_{1,1} \times S^4$ and $M_{1,2} \times S^3$ where actions and all fields, including the background gauge field, are real. Dimensional reduction along time gives real 5d SYM actions with nonabelian generalizations.