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arXiv · 2007.12001

S-duality and supersymmetry on curved manifolds

Guido Festuccia·Maxim Zabzine
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Abstract

We perform a systematic study of S-duality for ${\cal N}=2$ supersymmetric non-linear abelian theories on a curved manifold. Localization can be used to compute certain supersymmetric observables in these theories. We point out that localization and S-duality acting as a Legendre transform are not compatible. For these theories S-duality should be interpreted as Fourier transform and we provide some evidence for this. We also suggest the notion of a coholomological prepotential for an abelian theory that gives the same partition function as a given non-abelian supersymmetric theory.

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Guido Festuccia, Maxim Zabzine. 2020-07-23. S-duality and supersymmetry on curved manifolds. https://doi.org/10.1007/jhep09(2020)128

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