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 ground states of the theories in magnetic field. It has physical applications: to the study of non-perturbative dualities, of moduli spaces, of Chern-Simons theory and Verlinde algebras, of wrapped branes in string theory and the quantum entropy of black holes; as well as mathematical applications: to quantum cohomology and its K-theoretic generalization.
|Titolo:||A topologically twisted index for three-dimensional gauge theories|
|Titolo del libro:||Cover image Title The Fourteenth Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Astrophysics, and Relativistic Field Theories : proceedings of the MG14 Meeting on General Relativity, University of Rome "La Sapienza", Italy, 12-18 July 2015|
|Nome editore:||World Scientific|
|Digital Object Identifier (DOI):||10.1142/9789813226609_0554|
|Data di pubblicazione:||2018|
|Fulltext via DOI:||10.1142/9789813226609_0554|
|Appare nelle tipologie:||4.1 Contribution in Conference proceedings|