TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.15.3.103
TI  - Bethe-state counting and Witten index
PY  - 2023/09/19
UR  - https://scipost.org/SciPostPhys.15.3.103
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 15
IS  - 3
SP  - 103
A1  - Shu, Hongfei
AU  - Zhao, Peng
AU  - Zhu, Rui-Dong
AU  - Zou, Hao
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.15.3.103,
	title={{Bethe-state counting and Witten index}},
	author={Hongfei Shu and Peng Zhao and Rui-Dong Zhu and Hao Zou},
	journal={SciPost Phys.},
	volume={15},
	pages={103},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.15.3.103},
	url={https://scipost.org/10.21468/SciPostPhys.15.3.103},
}