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Excited states by analytic continuation of TBA equations

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arxiv hep-th/9607167 v2 pith:6HHDKY5S submitted 1996-07-21 hep-th

Patrick Dorey , Roberto Tateo This is my paper
classification hep-th
keywords equationsstatesanalyticapproachcontinuationexcitedmodelsuggest
verification ladder T0 review T1 audit T2 compute T3 formal
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We suggest an approach to the problem of finding integral equations for the excited states of an integrable model, starting from the Thermodynamic Bethe Ansatz equations for its ground state. The idea relies on analytic continuation through complex values of the coupling constant, and an analysis of the monodromies that the equations and their solutions undergo. For the scaling Lee-Yang model, we find equations in this way for the one- and two- particle states in the spin-zero sector, and suggest various generalisations. Numerical results show excellent agreement with the truncated conformal space approach, and we also treat some of the ultraviolet and infrared asymptotics analytically.

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Cited by 4 Pith papers

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

  1. On the $AdS_3\times S^3\times S^3\times S^1$ dressing factors

    hep-th 2025-12 unverdicted novelty 7.0 of 10

    Dressing factors are proposed for the S-matrix of massive worldsheet excitations in AdS3×S3×S3×S1 with mixed RR/NSNS flux that satisfy crossing, unitarity, and reproduce perturbative results for any radius ratio.

  2. Double-Current Deformations of Two-Dimensional QFTs with Anomalies

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Extends double-current deformations to anomalous 2D QFTs via dynamical gauge and Stueckelberg couplings, producing an anomaly-preserving holonomy integral kernel that Gaussian-transforms the compact boson partition function.

  3. On W-algebras and ODE/IM correspondence

    hep-th 2025-08 conditional novelty 6.0 of 10

    The eigenvalues of quantum KdV-type charges in Virasoro, W3, and W4 algebras are computed from Bethe roots via WKB periods of Catalan curves, verified against direct CFT diagonalization.

  4. Dressing Factors and Mirror Thermodynamic Bethe Ansatz for mixed-flux AdS3/CFT2

    hep-th 2025-07 conditional novelty 6.0 of 10

    Massless dressing factors for the mixed-flux AdS3xS3xT4 S-matrix are completed from the massive ones, checked against all symmetries and tree-level perturbation theory, and used to propose mirror TBA equations.

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