Expanding the Bethe/Gauge dictionary

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

doi:10.1007/jhep11(2017)055

Expanding the Bethe/Gauge dictionary

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

Authors

Professor Mathew Bullimore mathew.r.bullimore@durham.ac.uk
Early Career Fellowship

Hee-Cheol Kim

Tomasz Lukowski

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.

Citation

Bullimore, M., Kim, H., & Lukowski, T. (2017). Expanding the Bethe/Gauge dictionary. Journal of High Energy Physics, 2017(11), Article 055. https://doi.org/10.1007/jhep11%282017%29055

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
DOI	https://doi.org/10.1007/jhep11%282017%29055

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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.