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Defects and quantum Seiberg-Witten geometry.

Bullimore, Mathew and Kim, Hee-Cheol and Koroteev, Peter (2015) 'Defects and quantum Seiberg-Witten geometry.', Journal of high energy physics., 2015 (05). 095.

Abstract

We study the Nekrasov partition function of the five dimensional U(N) gauge theory with maximal supersymmetry on ℝ4 × S 1 in the presence of codimension two defects. The codimension two defects can be described either as monodromy defects, or by coupling to a certain class of three dimensional quiver gauge theories on ℝ2 × S 1. We explain how these computations are connected with both classical and quantum integrable systems. We check, as an expansion in the instanton number, that the aforementioned partition functions are eigenfunctions of an elliptic integrable many-body system, which quantizes the Seiberg-Witten geometry of the five-dimensional gauge theory.

Item Type:Article
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1007/JHEP05(2015)095
Publisher statement:© The Author(s) 2015 Open Access This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Date accepted:04 May 2015
Date deposited:08 June 2018
Date of first online publication:19 May 2015
Date first made open access:No date available

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