Fermionic counting of RSOS states and Virasoro character formulas for the unitary minimal series \(M(\nu,\nu+1)\): Exact results

DOI10.1016/0550-3213(94)90108-2zbMath1020.81620arXivhep-th/9403073OpenAlexW2952143268MaRDI QIDQ1571378

Alexander Berkovich

Publication date: 10 July 2000

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

Full work available at URL: https://arxiv.org/abs/hep-th/9403073

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Exactly solvable models; Bethe ansatz (82B23) (q)-gamma functions, (q)-beta functions and integrals (33D05)

Related Items (38)

On \(q\)-series for principal characters of standard \(A_2^{( 2 )}\)-modules ⋮ The diluteA_Lmodels and the Φ_1,2perturbation of unitary minimal CFTs ⋮ STRINGS, PATHS AND STANDARD TABLEAUX ⋮ Central charge and the Andrews–Bailey construction ⋮ Lattice approach to excited TBA boundary flows: Tricritical Ising model ⋮ Finite-volume spectra of the Lee-Yang model ⋮ Polynomial fermionic forms for the branching functions of the rational coset conformal field theories \(\widehat{su}(2)_M\times\widehat{su}(2)_N/\widehat{su}(2)_{M+N}\) ⋮ Bailey flows and Bose-Fermi identities for the conformal coset models \((A^{(1)}_1)_N\times (A^{(1)}_1)_{N^\prime}/ (A^{(1)}_1)_{N+N^\prime{}}\) ⋮ A bijection which implies Melzer's polynomial identities: The \(\chi_{1,1}^{(p,p+1)}\) case ⋮ Ghost series and a motivated proof of the Andrews-Bressoud identities ⋮ Analytic calculation of conformal partition functions: Tricritical hard squares with fixed boundaries ⋮ Multinomials and polynomial bosonic forms for the branching functions of the \(\widehat{su}(2)_{M}\times \widehat{su}(2)_{N}/\widehat{su}(2)_{M+N}\) conformal coset models ⋮ Continued fractions and fermionic representations for characters of \(M(p,p')\) minimal models ⋮ Integrals of motion from TBA and lattice-conformal dictionary ⋮ A note on the trinomial analogue of Bailey's lemma ⋮ A quartet of fermionic expressions for \(M(k,2k\pm 1)\) Virasoro characters via half-lattice paths ⋮ The perturbations \(\phi_{2,1}\) and \(\phi_{1,5}\) of the minimal models \(M(p,p^\prime\)) and the trinomial analogue of Bailey's lemma ⋮ Combinatorial constructions of modules for infinite-dimensional Lie algebras. I: Principal subspace ⋮ Critical RSOS and minimal models: fermionic paths, Virasoro algebra and fields ⋮ The 𝐴₂ Andrews–Gordon identities and cylindric partitions ⋮ Off-critical local height probabilities on a plane and critical partition functions on a cylinder ⋮ Path representation of \(\hat{su}(2)_k\) states. II: Operator construction of the fermionic character and spin-\(\frac{1}{2}\)-RSOS factorization ⋮ Exact \(\varphi_{1,3}\) boundary flows in the tricritical Ising model ⋮ The critical boundary RSOS \(\mathcal M (3,5)\) model ⋮ Spectrum of local boundary operators from boundary form factor bootstrap ⋮ Generalizations of the Andrews-Bressoud identities for the \(N = 1\) superconformal model \(SM(2, 4\nu )\) ⋮ Excited TBA equations. I: Massive tricritical Ising model ⋮ Paths and partitions: Combinatorial descriptions of the parafermionic states ⋮ The Bailey lemma and Kostka polynomials ⋮ Fermi-gas interpretation of the RSOS path representation of the superconformal unitary minimal models ⋮ q -Trinomial identities ⋮ Logarithmic minimal models ⋮ Physical combinatorics and quasiparticles ⋮ Excited TBA equations. II: Massless flow from tricritical to critical Ising model ⋮ Exclusion statistics in conformal field theory and the UCPF for WZW models. ⋮ Fermionic solution of the Andrews-Baxter-Forrester model. I: Unification of TBA and CTM methods. ⋮ Polynomial identities, indices, and duality for the \(N=1\) superconformal model \(SM(2,4\nu)\). ⋮ Fermionic solution of the Andrews-Baxter-Forrester model. II: Proof of Melzer's polynomial identities.

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