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Exact overlaps for "all" integrable matrix product states of rational spin chains

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arxiv 2410.23282 v2 pith:B7G5H6RO submitted 2024-10-30 hep-th math-phmath.MPnlin.SI

Exact overlaps for "all" integrable matrix product states of rational spin chains

classification hep-th math-phmath.MPnlin.SI
keywords integrablemathfrakproductspinstateschainsdeterminantsgaudin
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The overlaps between integrable matrix product states (MPS) and Bethe states are important in both the non-equilibrium statistical physics and the AdS/CFT duality. We present the general MPS overlap formula. The result is a product of a ratio of Gaudin determinants and a prefactor. The Gaudin determinants depend on the spin chain but not on the MPS. The MPS dependent prefactor is given for all integrable MPS of the $\mathfrak{gl}_{N}$, $\mathfrak{o}_{N}$ and $\mathfrak{sp}_{N}$ symmetric spin chains with arbitrary representations.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Solving for the integrable boundary states of the ABJM spin chain from $KT$-relations

    hep-th 2026-07 accept novelty 6.0

    Integrable chiral and achiral n-site boundary states of the ABJM spin chain are obtained by solving KT-relations for elementary blocks and K(u), with nontrivial solutions for even n and operator-valued 1-site Clifford pairs.

  2. Chiral Integrable Boundary States of ABJM Spin Chain from Reflection Equations

    hep-th 2026-02 unverdicted novelty 6.0

    A framework is proposed for 2n-site chiral integrable matrix product states in the ABJM spin chain from reflection equations, with exact overlap formulas for four-site states and numerical checks of subspaces.