Abstract
We study the integrable crosscap states of the integrable quantum spin chains and we classify them for the \( \mathfrak{gl} \)(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.
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Gombor, T. Integrable crosscap states in \( \mathfrak{gl} \)(N) spin chains. J. High Energ. Phys. 2022, 96 (2022). https://doi.org/10.1007/JHEP10(2022)096
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DOI: https://doi.org/10.1007/JHEP10(2022)096