Form factors of the monodromy matrix entries in gl(2|1)-invariant integrable models

Abstract

We study integrable models solvable by the nested algebraic Bethe ansatz and described by $\mathfrak{gl}(2|1)$ or $\mathfrak{gl}(1|2)$ superalgebras. We obtain explicit determinant representations for form factors of the monodromy matrix entries. We show that all form factors are related to each other at special limits of the Bethe parameters. Our results allow one to obtain determinant formulas for form factors of local operators in the supersymmetric t-J model.

arXiv comment26 pages. arXiv admin note: text overlap with arXiv:1412.6037

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• New Compact Construction of Eigenstates for Supersymmetric Spin Chains
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• Scalar product of twisted XXX modified Bethe vectors
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• Nested Algebraic Bethe Ansatz in integrable models: recent results
• Bethe Vectors for Composite Models with $\mathfrak{gl}(2|1)$ and $\mathfrak{gl}(1|2)$ Supersymmetry
• Scalar products and norm of Bethe vectors in ${\mathfrak{o}}_{2n+1}$ invariant integrable models