MG14 - Talk detail |
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Participant |
Benini, Francesco | |||||||
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Institution |
Imperial College London - South Kensington Campus - London - - United Kingdom | |||||||
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Session |
ST1 |
Accepted |
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Time |
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Talk |
Oral abstract |
Title |
A Topologically Twisted Index for Three-Dimensional Gauge Theories | |||||
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Abstract |
We study an index for three-dimensional supersymmetric gauge theories placed on a sphere and immersed in external magnetic fields -- in fact topologically twisted. We find an exact non-perturbative formula for this index, applying supersymmetric localization techniques. The index, different from the more common superconformal index, counts Landau-level grounds states of the theories in magnetic field. It has physical applications: to the study of non-perturbative dualities, of the moduli spaces, of Chern-Simons theory and the Verlinde algebra, of wrapped branes in String Theory and the entropy of black holes; as well as mathematical applications: to quantum cohomology and its K-theoretic and elliptic generalizations. |
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