Expanding the Bethe/Gauge Dictionary
High Energy Physics - Theory
2017-12-06 v1
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.
Cite
@article{arxiv.1708.00445,
title = {Expanding the Bethe/Gauge Dictionary},
author = {Mathew Bullimore and Hee-Cheol Kim and Tomasz Lukowski},
journal= {arXiv preprint arXiv:1708.00445},
year = {2017}
}
Comments
50 pages, 16 figures