Unitarity of the SoV Transform for $\mathrm{SL}(2,\mathbb{C})$ Spin Chains

Abstract

We prove the unitarity of the separation of variables transform for $\mathrm{SL}(2,\mathbb{C})$ spin chains by a method based on the use of Gustafson integrals.

References in corpus (5)

• Quantization of models with non-compact quantum group symmetry. Modular XXZ magnet and lattice sinh-Gordon model
• Integrability of scattering amplitudes in N=4 SUSY
• Form-factors and complete basis of observables via separation of variables for higher rank spin chains
• Completeness of SoV Representation for $\mathrm{SL}(2,\mathbb{R})$ Spin Chains
• Integrable systems, separation of variables and the Yang-Baxter equation

Cited by in corpus (1)

• BC-type open $SL(2,\mathbb{C})$ spin chain