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Nonlinear Integral Equation and Finite Volume Spectrum of Minimal Models Perturbed by $\Phi_{(1,3)}$

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arxiv hep-th/9909031 v2 pith:EZ65J5P3 submitted 1999-09-07 hep-th

classification hep-th
keywords minimalmodelsperturbedequationfiniteintegralnlienonlinear
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abstract

We describe an extension of the nonlinear integral equation (NLIE) method to Virasoro minimal models perturbed by the relevant operator $\Phi_{(1,3)$. Along the way, we also complete our previous studies of the finite volume spectrum of sine-Gordon theory by considering the attractive regime and more specifically, breather states. For the minimal models, we examine the states with zero topological charge in detail, and give numerical comparison to TBA and TCS results. We think that the evidence presented strongly supports the validity of the NLIE description of perturbed minimal models.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 31 citations worldwide. Full citation record

  1. Leading UV Formula for Finite-Volume Vertex Operator Expectation Values in the Sine-Gordon Model from Kink NLIE

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Conjectures and numerically verifies a leading UV asymptotic formula for finite-volume vertex operator VEVs in the sine-Gordon model from kink NLIE, matching complex Liouville CFT results to 19 digits.

  2. Thermodynamics in the Sine-Gordon model: the NLIE approach

    hep-th 2025-07 conditional novelty 6.0 of 10

    A nonlinear integral equation with an imaginary twist parameter describes sine-Gordon thermodynamics with a topological chemical potential at arbitrary coupling and matches TBA.

  3. Minimal Models RG flows: non-invertible symmetries & non-perturbative description

    hep-th 2025-01 conditional novelty 6.0 of 10

    A three-parameter NLIE family is conjectured to encode exact ground-state energies for anomaly-matched RG flows between Virasoro minimal models, generalizing known integrable cases.

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