Discrete Symmetries and S Matrix of the XXZ Chain

Abstract

We formulate the notion of parity for the periodic XXZ spin chain within the Quantum Inverse Scattering Method. We also propose an expression for the eigenvalues of the charge conjugation operator. We use these discrete symmetries to help classify low-lying S^z=0 states in the critical regime, and we give a direct computation of the S matrix.

9 pages, LaTeX

Cited by in corpus (9)

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• Boundary states, overlaps, nesting and bootstrapping AdS/dCFT
• Excited state correlations of the finite Heisenberg chain
• Direct Calculation of Breather S Matrices
• Principal chiral model scattering and the alternating quantum spin chain
• Cylinder partition function of the 6-vertex model from algebraic geometry
• Scaling in the massive antiferromagnetic XXZ spin-1/2 chain near the isotropic point
• The $D_3^{(2)}$ spin chain and its finite-size spectrum