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Shifts of prepotentials

by Nikita Nekrasov, Nicolo Piazzalunga, Maxim Zabzine

Submission summary

As Contributors: Nicolo Piazzalunga
Arxiv Link: (pdf)
Date submitted: 2021-11-19 15:01
Submitted by: Piazzalunga, Nicolo
Submitted to: SciPost Physics
Academic field: Physics
  • High-Energy Physics - Theory
  • Mathematical Physics


We study the dynamics of supersymmetric theories in five dimensions obtained by compactifications of M-theory on a Calabi-Yau threefold X. For a compact X, this is determined by the geometry of X, in particular the Kahler class dependence of the volume of X determines the effective couplings of vector multiplets. Rigid supersymmetry emerges in the limit of divergent volume, prompting the study of the structure of Duistermaat-Heckman formula and its generalizations for non-compact toric Kahler manifolds. Our main tool is the set of finite-difference equations obeyed by equivariant volumes and their quantum versions. We also discuss a physical application of these equations in the context of seven-dimensional gauge theories, extending and clarifying our previous results.

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Submission 2111.07663v1 on 19 November 2021

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