3 years ago

# Norm of Bethe vectors in models with gl(m|n) symmetry

We study quantum integrable models solvable by the nested algebraic Bethe ansatz and possessing $gl ( m | n )$-invariant R-matrix. We compute the norm of the Hamiltonian eigenstates. Using the notion of a generalized model we show that the square of the norm obeys a number of properties that uniquely fix it. We also show that a Jacobian of the system of Bethe equations obeys the same properties. In this way we prove a generalized Gaudin hypothesis for the norm of the Hamiltonian eigenstates.

Publisher URL: www.sciencedirect.com/science

DOI: S0550321317303644

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