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Regular version of the site

Article

Scalar products of Bethe vectors in models with gl(2|1) symmetry 1. Super-analog of Reshetikhin formula

Hutsalyuk A., Liashyk A., Pakuliak S., Ragoucy E., Slavnov N.

We study scalar products of Bethe vectors in integrable models solvable by nested algebraic Bethe ansatz and possessing  gl(2|1) symmetry. Using explicit formulas of the monodromy matrix entries multiple actions onto Bethe vectors we obtain a representation for the scalar product in the most general case. This explicit representation appears to be a sum over partitions of the Bethe parameters. It can be used for the analysis of scalar products involving on-shell Bethe vectors. As a by-product, we obtain a determinant representation for the scalar products of generic Bethe vectors in integrable models with gl(1|1) symmetry.