Affiliation:
1. Beijing Institute of Mathematical Sciences and Applications
2. Yau Mathematical Sciences Center
3. Zhengzhou University
4. Tianjin University
5. National University of Singapore
6. Soochow University
Abstract
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.
Funder
Beijing Postdoctoral Science Foundation
China Postdoctoral Science Foundation
Government of Jiangsu Province
National Natural Science Foundation of China
Subject
General Physics and Astronomy
Cited by
2 articles.
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