Contributor info: Dr Hongfei Shu

Hongfei Shu, Peng Zhao, Rui-Dong Zhu, Hao Zou

SciPost Phys. 15, 103 (2023) · published 19 September 2023 | Toggle abstract · pdf

We count the physical Bethe states of quantum integrable models with twisted boundary conditions using the Witten index of 2d supersymmetric gauge theories. For multi-component models solvable by the nested Bethe ansatz, the result is a novel restricted occupancy problem. For the SU(3) spin chain and the t-J model, we propose formulae for the solution count on singular loci in the space of twist parameters.