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Expanding the Bethe/Gauge dictionary

Bullimore, Mathew; Kim, Hee-Cheol; Lukowski, Tomasz

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Hee-Cheol Kim

Tomasz Lukowski


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.


Bullimore, M., Kim, H., & Lukowski, T. (2017). Expanding the Bethe/Gauge dictionary. Journal of High Energy Physics, 2017(11), Article 055.

Journal Article Type Article
Acceptance Date Oct 23, 2017
Online Publication Date Nov 9, 2017
Publication Date Nov 9, 2017
Deposit Date Jun 7, 2018
Publicly Available Date Jun 8, 2018
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2017
Issue 11
Article Number 055


Published Journal Article (791 Kb)

Publisher Licence URL

Copyright 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.

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