Title | N=2 supersymmetric gauge theories on S^2xS^2 and Liouville Gravity |
Publication Type | Journal Article |
Year of Publication | 2015 |
Authors | Bawane, A, Bonelli, G, Ronzani, M, Tanzini, A |
Journal | Journal of High Energy Physics |
Volume | 2015 |
Pagination | 54 |
Date Published | Jul |
ISSN | 1029-8479 |
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. |
URL | https://doi.org/10.1007/JHEP07(2015)054 |
DOI | 10.1007/JHEP07(2015)054 |
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