Abstract
In this paper, for supersymmetric quantum integrable spin chains with rational \(Gl(N|M)\)-invariant \(R\)-matrices, we construct a coupled master \(T\)-operator which represents a generating function for two-folds commuting quantum transfer matrices. We show that the functional relations for the quantum transfer matrices are equivalent to an infinite set of Hirota bilinear equations of the modified universal character hierarchy. Also the free fermion representation of the tau function of the supersymmetric quantum two-component spin chains will be given with the help of two sets of Clifford algebras.
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Acknowledgements
Chuanzhong Li is supported by the National Natural Science Foundation of China under Grant No. 12071237 and K. C. Wong Magna Fund in Ningbo University.
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Communicated by Pavel Wiegmann.
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Li, C., Shou, B. Supersymmetric Quantum Spin Chains and Modified Universal Characters. J Stat Phys 190, 55 (2023). https://doi.org/10.1007/s10955-022-03063-6
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DOI: https://doi.org/10.1007/s10955-022-03063-6
Keywords
- Boson–Fermion Correspondence
- Supersymmetric quantum spin model
- Universal character hierarchy
- Modified universal character