Abstract
We study integrable models solvable by the nested algebraic Bethe ansatz and described by gl(2|1) or 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.
Highlights
The algebraic Bethe ansatz is a powerful method of studying quantum integrable models [1,2,3,4]
We have shown in the paper [23] that in the models with gl(N )-invariant R-matrix all the form factors can be obtained from one initial form factor and taking special limits of the Bethe parameters
In this paper we obtained determinant representations for form factors of the monodromy matrix entries in integrable models described by gl(2|1) and gl(1|2) superalgebras
Summary
The algebraic Bethe ansatz is a powerful method of studying quantum integrable models [1,2,3,4]. The main objective of calculating the form factors of local operators in quantum integrable models is to provide compact and manageable representations for them This problem was successfully solved in various integrable models with gl(2) symmetry and its q-deformation. Recently determinant representations for form factors of local operators in the models with gl(3)-invariant R-matrix were obtained in the series of works [19,20,21,22,23,24] Partial generalization of these results to the models with q-deformed algebras was given in [25]. Using these results we find additional relations between the different form factors.
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