Exact results in D = 2 supersymmetric gauge theories - Archive ouverte HAL
Journal Articles Journal of High Energy Physics Year : 2013

Exact results in D = 2 supersymmetric gauge theories

Abstract

We compute exactly the partition function of two dimensional N=(2,2) gauge theories on S2 and show that it admits two dual descriptions: either as an integral over the Coulomb branch or as a sum over vortex and anti-vortex excitations on the Higgs branches of the theory. We further demonstrate that correlation functions in two dimensional Liouville/Toda CFT compute the S2 partition function for a class of N=(2,2) gauge theories, thereby uncovering novel modular properties in two dimensional gauge theories. Some of these gauge theories flow in the infrared to Calabi-Yau sigma models — such as the conifold — and the topology changing flop transition is realized as crossing symmetry in Liouville/Toda CFT. Evidence for Seiberg duality in two dimensions is exhibited by demonstrating that the partition function of conjectured Seiberg dual pairs are the same.
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hal-04798013 , version 1 (22-11-2024)

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Nima Doroud, Jaume Gomis, Bruno Le Floch, Sungjay Lee. Exact results in D = 2 supersymmetric gauge theories. Journal of High Energy Physics, 2013, 2013 (5), pp.93. ⟨10.1007/JHEP05(2013)093⟩. ⟨hal-04798013⟩
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