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.
Integrable Quantum Field Theories in Finite Volume: Excited State Energies
5 Pith papers cite this work, alongside 220 external citations. Polarity classification is still indexing.
abstract
We develop a method of computing the excited state energies in Integrable Quantum Field Theories (IQFT) in finite geometry, with spatial coordinate compactified on a circle of circumference R. The IQFT ``commuting transfer-matrices'' introduced by us (BLZ) for Conformal Field Theories (CFT) are generalized to non-conformal IQFT obtained by perturbing CFT with the operator $\Phi_{1,3}$. We study the models in which the fusion relations for these ``transfer-matrices'' truncate and provide closed integral equations which generalize the equations of Thermodynamic Bethe Ansatz to excited states. The explicit calculations are done for the first excited state in the ``Scaling Lee-Yang Model''.
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Constructs deformed vertex operators in a topological string description of T T-bar deformed tensionless AdS3/CFT2 and computes their exact tree-level two-point functions.
WKB periods of the fully diagonalized C(2)^{(2)} Lax operator coincide with NS-sector local IoM eigenvalues of N=1 SCFT up to sixth order under a fixed parameter dictionary.
Derives additivity and fusion rules for defect g-functions in integrable 2D QFT, with effective amplitudes for non-topological cases and lowered entropy contribution in Ising non-topological fusion.
Perturbative computation of 2D NLSM energy-density to fourth order agrees with TBA large-h asymptotics.
citing papers explorer
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Leading UV Formula for Finite-Volume Vertex Operator Expectation Values in the Sine-Gordon Model from Kink NLIE
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.
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$\boldsymbol{T\overline{T}}$ correlators from tensionless strings
Constructs deformed vertex operators in a topological string description of T T-bar deformed tensionless AdS3/CFT2 and computes their exact tree-level two-point functions.
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The ODE/IM Correspondence between $C(2)^{(2)}$-type Linear Problems and 2d $\mathcal{N}=1$ SCFT
WKB periods of the fully diagonalized C(2)^{(2)} Lax operator coincide with NS-sector local IoM eigenvalues of N=1 SCFT up to sixth order under a fixed parameter dictionary.
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Fusion of Integrable Defects and the Defect $g$-Function
Derives additivity and fusion rules for defect g-functions in integrable 2D QFT, with effective amplitudes for non-topological cases and lowered entropy contribution in Ising non-topological fusion.
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A note on the 2D NLSM free energy
Perturbative computation of 2D NLSM energy-density to fourth order agrees with TBA large-h asymptotics.