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

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.

31 pages, a discussion on unitarity is added

References in corpus (3)

• Emergent Time and the M5-Brane
• Off-shell structure of twisted (2,0) theory
• Super-Yang-Mills theories on S4 x R

Cited by in corpus (3)

• A slow review of the AGT correspondence
• M5-branes on S^2 x M_4: Nahm's Equations and 4d Topological Sigma-models
• A Landscape of Field Theories