Bethe Ansatz and Bethe Vectors Scalar Products
Samuel Belliard, Stanislav Pakuliak, Eric Ragoucy
TL;DR
This paper provides an integral formula for scalar products of nested Bethe vectors in quantum integrable models related to $U_q(\uhat{ ext{gl}}_3)$, advancing the universal Bethe ansatz approach.
Contribution
It introduces a new integral representation for scalar products of Bethe vectors using the total currents in a novel realization of the quantum affine algebra.
Findings
Integral presentation for scalar products derived
Utilizes universal Bethe ansatz framework
Employs a new realization of $U_q(\uhat{ ext{gl}}_3)$
Abstract
An integral presentation for the scalar products of nested Bethe vectors for the quantum integrable models associated with the quantum affine algebra is given. This result is obtained in the framework of the universal Bethe ansatz, using presentation of the universal Bethe vectors in terms of the total currents of a "new" realization of the quantum affine algebra .
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Taxonomy
TopicsBenford’s Law and Fraud Detection · Algebraic structures and combinatorial models · Rings, Modules, and Algebras