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Baxter's Q-operators for supersymmetric spin chains
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Baxter's Q-operators for supersymmetric spin chains
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We develop Yang-Baxter integrability structures connected with the quantum affine superalgebra Uq(\hat sl(2|1)). Baxter's Q-operators are explicitly constructed as supertraces 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.
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Cited by 1 Pith paper
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Baxter Q-operators from a Schwinger-Boson construction of the master T-operator and the mKP hierarchy
A Schwinger-boson Fock-space trace defines the gl(M) master T-operator, and the same L-operator degenerates to the Q-operator L-operator of Bazhanov–Frassek–Lukowski–Meneghelli–Staudacher.
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