Separated variables and wave functions for rational gl(N) spin chains in the companion twist frame

@article{Ryan2018SeparatedVA,
  title={Separated variables and wave functions for rational gl(N) spin chains in the companion twist frame},
  author={Paul Ryan and Dmytro Volin},
  journal={arXiv: Mathematical Physics},
  year={2018},
  pages={032701}
}
  • Paul Ryan, Dmytro Volin
  • Published 2018
  • Physics, Mathematics
  • arXiv: Mathematical Physics
  • We propose a basis for rational gl(N) spin chains in an arbitrary rectangular representation $(S^A)$ that factorises the Bethe vectors into products of Slater determinants in Baxter Q-functions. This basis is constructed by repeated action of fused transfer matrices on a suitable reference state. We prove that it diagonalises the so-called B-operator, hence the operatorial roots of the latter are the separated variables. The spectrum of the separated variables is also explicitly computed and it… CONTINUE READING

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