Generalising the staircase models

Abstract

Systems of integral equations are proposed which generalise those previously encountered in connection with the so-called staircase models. Under the assumption that these equations describe the finite-size effects of relativistic field theories via the Thermodynamic Bethe Ansatz, analytical and numerical evidence is given for the existence of a variety of new roaming renormalisation group trajectories. For each positive integer $k$ and $s=0,\dots ,k-1$, there is a one-parameter family of trajectories, passing close by the coset conformal field theories $G^{(k)}\times G^{(nk+s)}/G^{((n+1)k+s)}$ before finally flowing to a massive theory for $s=0$, or to another coset model for $s\ne 0$.

19 pages (and two figures), preprint CERN-TH.6739/92 NI92009 DFUB-92-21

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• New families of flows between two-dimensional conformal field theories
• Renormalization group flow with unstable particles
• Exact g-function flow between conformal field theories
• Exact solution of the supersymmetric sinh-Gordon model with boundary
• Exact g-function flows from the staircase model
• Mass Generation in Perturbed Massless Integrable Models
• Massless flows between minimal W models
• Hydrodynamics of massless integrable RG flows and a non-equilibrium c-theorem
• Roaming form factors for the tricritical to critical Ising flow
• On the Hydrodynamics of Unstable Excitations
• The Staircase Model: Massless Flows and Hydrodynamics
• Form factor relocalisation and interpolating renormalisation group flows from the staircase model
• Supersymmetric integrable scattering theories with unstable particles
• Gauging or extending bulk and boundary conformal field theories: Application to bulk and domain wall problem in topological matter and their descriptions by (mock) modular covariant
• Entanglement entropy along a massless renormalisation flow: the tricritical to critical Ising crossover
• A T-duality interpretation of the relationship between massive and massless magnonic TBA systems
• Scaling functions from q-deformed Virasoro characters
• Scattering matrix for current-current deformations of the (2,2s+1) RSOS models