Polynomial fermionic forms for the branching functions of the rational coset conformal field theories \(\widehat{su}(2)_M\times\widehat{su}(2)_N/\widehat{su}(2)_{M+N}\)
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Publication:1904595
DOI10.1016/0550-3213(95)00572-2zbMath1003.81503arXivhep-th/9508050OpenAlexW17264244MaRDI QIDQ1904595
Publication date: 2 January 1996
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9508050
recursion relationsduality transformationbosonic representationsfermionic representationsconfiguration sums
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Symmetry breaking in quantum theory (81R40) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)
Related Items
STRINGS, PATHS AND STANDARD TABLEAUX ⋮ Central charge and the Andrews–Bailey construction ⋮ Bailey flows and Bose-Fermi identities for the conformal coset models \((A^{(1)}_1)_N\times (A^{(1)}_1)_{N^\prime}/ (A^{(1)}_1)_{N+N^\prime{}}\) ⋮ 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 ⋮ 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 ⋮ Fermi-gas interpretation of the RSOS path representation of the superconformal unitary minimal models ⋮ Thermopower and thermoelectric power factor of \(\mathbb{Z}_k\) parafermion quantum dots ⋮ Bosonic formulas for affine branching functions ⋮ q -Trinomial identities ⋮ Exclusion statistics in conformal field theory and the UCPF for WZW models.
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