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

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 $T$.

31 pages

References in corpus (2)

• Supersymmetric Gauge Theories on the Five-Sphere
• Superconformal Partition Functions and Non-perturbative Topological Strings

Cited by in corpus (1)

• The geometric Langlands twist in five and six dimensions