We consider 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 S2× S2 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.
N=2 supersymmetric gauge theories on S2×S2 and Liouville Gravity / Bawane, A.; Bonelli, G.; Ronzani, M.; Tanzini, A.. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2015:7(2015), pp. 1-41. [10.1007/JHEP07(2015)054]
N=2 supersymmetric gauge theories on S2×S2 and Liouville Gravity
Bawane, A.;Bonelli, G.;Ronzani, M.;Tanzini, A.
2015-01-01
Abstract
We consider 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 S2× S2 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.| File | Dimensione | Formato | |
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