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arXiv · 2003.12461

7D supersymmetric Yang-Mills on hypertoric 3-Sasakian manifolds

Nikolaos Iakovidis·Jian Qiu·Andreas Rocén·Maxim Zabzine
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Abstract

We study 7D maximally supersymmetric Yang-Mills theory on 3-Sasakian manifolds. For manifolds whose hyper-K\"ahler cones are hypertoric we derive the perturbative part of the partition function. The answer involves a special function that counts integer lattice points in a rational convex polyhedral cone determined by hypertoric data. This also gives a more geometric structure to previous enumeration results of holomorphic functions in the literature. Based on physics intuition, we provide a factorisation result for such functions. The full proof of this factorisation using index calculations will be detailed in a forthcoming paper.

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Nikolaos Iakovidis, Jian Qiu, Andreas Rocén, Maxim Zabzine. 2020-03-27. 7D supersymmetric Yang-Mills on hypertoric 3-Sasakian manifolds. https://doi.org/10.1007/jhep06(2020)026

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