Off-critical local height probabilities on a plane and critical partition functions on a cylinder

DOI10.1016/j.nuclphysb.2018.01.011zbMath1381.82006arXiv1711.03337OpenAlexW2767975934MaRDI QIDQ1700059

Omar Foda

Publication date: 2 March 2018

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.03337

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Applications of global analysis to the sciences (58Z05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27)

Cites Work

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• Further exact solutions of the eight-vertex SOS model and generalizations of the Rogers-Ramanujan identities
• Operator content of two-dimensional conformally invariant theories
• Exact solution of cyclic solid-on-solid lattice models
• Infinite-dimensional Lie algebras, theta functions and modular forms
• Unitary representations of the Virasoro and super-Virasoro algebras
• Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
• Critical behavior of two-dimensional spin models and charge asymmetry in the Coulomb gas
• Infinite conformal symmetry in two-dimensional quantum field theory
• Virasoro algebras and coset space models
• Fermionic counting of RSOS states and Virasoro character formulas for the unitary minimal series \(M(\nu,\nu+1)\): Exact results
• Fermionic solution of the Andrews-Baxter-Forrester model. I: Unification of TBA and CTM methods.
• Fermionic solution of the Andrews-Baxter-Forrester model. II: Proof of Melzer's polynomial identities.
• Exactly solvable SOS models. Local height probabilities and theta function identities
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• Rogers-Ramanujan identities in the hard hexagon model
• Continued fractions and fermionic representations for characters of \(M(p,p')\) minimal models
• A quantum deformation of the Virasoro algebra and the Macdonald symmetric functions
• Local state probabilities for solvable restricted solid-on-solid models: \(A_ n,\;D_ n,\;D^{(1)}_ n,\) and \(A^{(1)}_ n\).
• Fermionic sum representations for conformal field theory characters
• Fermionic expressions for minimal model Virasoro characters
• The hard-hexagon model and Rogers—Ramanujan type identities
• Local state probabilities for an infinite sequence of solvable lattice models
• A BURGE TREE OF VIRASORO-TYPE POLYNOMIAL IDENTITIES

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