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Expanding the Bethe/Gauge dictionary.

Bullimore, Mathew and Kim, Hee-Cheol and Lukowski, Tomasz (2017) 'Expanding the Bethe/Gauge dictionary.', Journal of high energy physics., 2017 (11). 055.

Abstract

We expand the Bethe/Gauge dictionary between the XXX Heisenberg spin chain and 2d N = (2, 2) supersymmetric gauge theories to include aspects of the algebraic Bethe ansatz. We construct the wave functions of off-shell Bethe states as orbifold defects in the A-twisted supersymmetric gauge theory and study their correlation functions. We also present an alternative description of off-shell Bethe states as boundary conditions in an effective N = 4 supersymmetric quantum mechanics. Finally, we interpret spin chain R-matrices as correlation functions of Janus interfaces for mass parameters in the supersymmetric quantum mechanics.

Item Type:Article
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1007/JHEP11(2017)055
Publisher statement:© The Author(s) 2017 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:23 October 2017
Date deposited:08 June 2018
Date of first online publication:09 November 2017
Date first made open access:08 June 2018

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