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N=2 supersymmetric gauge theories on S^2xS^2 and Liouville Gravity

TitleN=2 supersymmetric gauge theories on S^2xS^2 and Liouville Gravity
Publication TypeJournal Article
Year of Publication2015
AuthorsBawane, A, Bonelli, G, Ronzani, M, Tanzini, A
JournalJournal of High Energy Physics
Volume2015
Pagination54
Date PublishedJul
ISSN1029-8479
Abstract

We consider $\mathcal{N}=2$ supersymmetric gauge theories on four manifolds admitting an isometry. Generalized Killing spinor equations are derived from the consistency of supersymmetry algebrae and solved in the case of four manifolds admitting a $U(1)$ isometry. This is used to explicitly compute the supersymmetric path integral on $S^2 \times S^2$ via equivariant localization. The building blocks of the resulting partition function are shown to contain the three point functions and the conformal blocks of Liouville Gravity.

URLhttps://doi.org/10.1007/JHEP07(2015)054
DOI10.1007/JHEP07(2015)054

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