Expanding the Bethe/Gauge dictionary

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

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.-C., & 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
• Public URL: https://durham-repository.worktribe.com/output/1329235