Bullimore, Mathew (2018) 'Three-dimensional N = 4 gauge theories in omega background.', in String-Math 2016 : June 27-July 2, 2016, Collège de France, Paris, France. Providence, Rhode Island: American Mathematical Society, pp. 1-20. Proceedings of symposia in pure mathematics. (98).
We review the description of three-dimensional gauge theories with N = 4 supersymmetry in the presence of an omega background as an N = 4 supersymmetric quantum mechanics. We will focus throughout on a simple abelian example. The Hilbert space of supersymmetric ground states is populated by generalized vortex congurations, while half-BPS monopole operators act on the Hilbert space by creating and annihilating vortices, furnishing it with the structure of a Verma module for the quantized Coulomb branch chiral ring. Furthermore, by introducing two-dimensional N = (2; 2) boundary conditions, we nd a nite version of the AGT correspondence between vortex partition functions and overlaps of Whittaker vectors for quantized Coulomb branch chiral rings.
|Item Type:||Book chapter|
|Full text:||(AM) Accepted Manuscript|
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|Publisher Web site:||https://bookstore.ams.org/pspum-98/|
|Publisher statement:||© 2018 American Mathematical Society. First published in String-Math 2016, Proceedings of Symposia in Pure Mathematics in 98, 2018, published by the American Mathematical Society.|
|Date accepted:||No date available|
|Date deposited:||11 July 2018|
|Date of first online publication:||June 2018|
|Date first made open access:||No date available|
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