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arXiv · 1710.09653

7D supersymmetric Yang-Mills on curved manifolds

Konstantina Polydorou·Andreas Rocén·Maxim Zabzine
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Abstract

We study 7D maximally supersymmetric Yang-Mills theory on curved manifolds that admit Killing spinors. If the manifold admits at least two Killing spinors (Sasaki-Einstein manifolds) we are able to rewrite the supersymmetric theory in terms of a cohomological complex. In principle this cohomological complex makes sense for any K-contact manifold. For the case of toric Sasaki-Einstein manifolds we derive explicitly the perturbative part of the partition function and speculate about the non-perturbative part. We also briefly discuss the case of 3-Sasaki manifolds and suggest a plausible form for the full non-perturbative answer.

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Konstantina Polydorou, Andreas Rocén, Maxim Zabzine. 2017-10-26. 7D supersymmetric Yang-Mills on curved manifolds. https://doi.org/10.1007/jhep12(2017)152

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