Integrable crosscap states in \mathfrakgl(N) spin chains

2022/07/21 by Tamás Gombor, Gombor, Tamas
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Quantum many-body systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2207.10598

Abstract

We study the integrable crosscap states of the integrable quantum spin chains and we classify them for the \mathfrakgl(N) symmetric models. We also give a derivation for the exact overlaps between the integrable crosscap states and the Bethe states. The first part of the derivation is to calculate sum formula for the off-shell overlap. Using this formula we prove that the normalized overlaps of the multi-particle states are ratios of the Gaudin-like determinants. Furthermore we collect the integrable crosscap states which can be relevant in the AdS/CFT correspondence.

Related

• Crosscap states in the XXX spin-1/2 spin chain
• Exact overlaps for "all" integrable matrix product states of rational spin chains
• Derivations for the MPS overlap formulas of rational spin chains
• Exact overlaps for all integrable two-site boundary states of \mathfrakgl(N) symmetric spin chains
• Overlaps and Fermionic Dualities for Integrable Super Spin Chains