Modified Algebraic Bethe Ansatz: Twisted XXX Case

Abstract

We prove the modified algebraic Bethe Ansatz characterization of the spectral problem for the closed XXX Heisenberg spin chain with an arbitrary twist and arbitrary positive (half)-integer spin at each site of the chain. We provide two basis to characterize the spectral problem and two families of inhomogeneous Baxter T-Q equations. The two families satisfy an inhomogeneous quantum Wronskian equation.

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• New Compact Construction of Eigenstates for Supersymmetric Spin Chains
• Quadratic operator relations and Bethe equations for spin-1/2 Richardson-Gaudin models
• Scalar product of twisted XXX modified Bethe vectors
• Scalar Products in Twisted XXX Spin Chain. Determinant Representation
• Wronskian-type formula for inhomogeneous TQ-equations
• Modified rational six vertex model on the rectangular lattice
• Computation of entanglement entropy in inhomogeneous free fermions chains by algebraic Bethe ansatz
• Overlap between usual and modified Bethe vectors
• Separation of variables for higher rank integrable models: review of recent progress
• Jordanian spin chains for twisted strings in $Ad{S}_5\times S^5$
• Spin-$s$ $Q$-systems: Twist and Open Boundaries