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TCSA and the finite volume boundary state

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arxiv 2008.01979 v2 pith:5TBE2HR3 submitted 2020-08-05 hep-th

classification hep-th
keywords stateboundaryfinitevolumemethodmodeloverlapanalytical
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We develop a new way to calculate the overlap of a boundary state with a finite volume bulk state in the truncated conformal space approach. We check this method in the thermally perturbed Ising model analytically, while in the scaling Lee-Yang model numerically by comparing our results to excited state g-functions, which we obtained by the analytical continuation method. We also give a simple argument for the structure of the asymptotic overlap between the finite volume boundary state and a periodic multiparticle state, which includes the ratio of Gaudin type determinants.

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  1. Extracting Boundary Conformal Data from Periodic Non-Hermitian Critical Chains

    cond-mat.stat-mech 2026-06 conditional novelty 7.0 of 10

    Periodic-chain projected overlaps with paired left duals extract universal boundary CFT coefficients, including a negative Yang-Lee ratio and complex Potts boundary data.

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