New functional dilogarithm identities and sine-Gordon Y-systems

Abstract

The sine-Gordon Y-systems and those of the minimal $M_{p,q}+{\varphi }_{13}$ models are determined in a compact form and a correspondence between the rational numbers and a new infinite family of multi-parameter functional equations for the Rogers dilogarithm is pointed out. The relation between the TBA-duality and the massless RG fluxes in the minimal models recently conjectured is briefly discussed.

13 pages , latex

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Cited by in corpus (13)

• T-systems and Y-systems in integrable systems
• Continued fraction TBA and functional relations in XXZ model at root of unity
• TBA equations for excited states in the O(3) and O(4) nonlinear $\sigma$-model
• SUSY sine-Gordon theory as a perturbed conformal field theory and finite size effects
• Generalized KdV and Quantum Inverse Scattering Description of Conformal Minimal Models
• Massive and massless phases in self-dual $Z_N$ spin models: some exact results from the thermodynamic Bethe ansatz
• Finite size effects and the supersymmetric sine-Gordon models
• TBA equations for excited states in the Sine-Gordon model
• Integrable aspects of the scaling q-state Potts models II: finite-size effects
• Thermodynamics and fractal Drude weights in the sine-Gordon model
• Popcorn Drude weights from quantum symmetry
• A topological invariant of RG flows in 2D integrable quantum field theories
• Thermodynamic Bethe Ansatz and Generalised Hydrodynamics in the sine-Gordon model