Euclidean quantum M5 brane theory on $S^1 \times S^5$

TL;DR

This paper derives a five-dimensional super Yang-Mills theory on a five-sphere from a Euclidean M5 brane setup by dimensional reduction and Wick rotation, providing insights into the quantum M5 brane dynamics.

Contribution

It presents a novel derivation of 5d SYM on S^5 from Euclidean M5 brane theory via Scherk-Schwarz reduction and Wick rotation.

Findings

Derived 5d SYM from Euclidean M5 brane on S^1×S^5

Connected Lorentzian and Euclidean M5 brane theories

Provided a framework for quantum M5 brane analysis

Abstract

We consider Euclidean quantum M5 brane theory on $S^1\times S^5$. Dimensional reduction along $S^1$ gives a 5d SYM on $S^5$. We derive this 5d SYM theory from a classical Lorentzian M5 brane Lagrangian on $S^1 \times S^5$, where $S^1$ is a timelike circle of radius $T$, by performing a Scherk-Schwarz reduction along $S^1$ followed by Wick rotation of $T$.