Baxter's Q-operators for supersymmetric spin chains

Vladimir V. Bazhanov; Zengo Tsuboi

doi:10.1016/j.nuclphysb.2008.06.025

Baxter's Q-operators for supersymmetric spin chains

Vladimir V. Bazhanov, Zengo Tsuboi^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

71 Citations (Scopus)

Abstract

We develop Yang-Baxter integrability structures connected with the quantum affine superalgebra U_q (over(sl, ̂) (2 | 1)). Baxter's Q-operators are explicitly constructed as super-traces of certain monodromy matrices associated with (q-deformed) bosonic and fermionic oscillator algebras. There are six different Q-operators in this case, obeying a few fundamental fusion relations, which imply all functional relations between various commuting transfer matrices. The results are universal in the sense that they do not depend on the quantum space of states and apply both to lattice models and to continuous quantum field theory models as well.

Original language	English
Pages (from-to)	451-516
Number of pages	66
Journal	Nuclear Physics B
Volume	805
Issue number	3
DOIs	https://doi.org/10.1016/j.nuclphysb.2008.06.025
Publication status	Published - 21 Dec 2008

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Baxter's Q-operators for supersymmetric spin chains

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