Polynomial identities, indices, and duality for the \(N=1\) superconformal model \(SM(2,4\nu)\).
From MaRDI portal
Publication:1593416
DOI10.1007/BF02179546zbMath1081.82537arXivhep-th/9507072OpenAlexW1976931821MaRDI QIDQ1593416
Barry M. McCoy, Alexander Berkovich, William P. Orrick
Publication date: 16 January 2001
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9507072
Virasoro and related algebras (17B68) Exactly solvable models; Bethe ansatz (82B23) Analytic theory of partitions (11P82) Applications of basic hypergeometric functions (33D90)
Related Items
New polynomial analogues of Jacobi's triple product and Lebesgue's identities, On simplifications of certain \(q\)-multisums, \texttt{RRtools} -- a Maple package for aiding the discovery and proof of finite Rogers-Ramanujan type identities, Polynomial fermionic forms for the branching functions of the rational coset conformal field theories \(\widehat{su}(2)_M\times\widehat{su}(2)_N/\widehat{su}(2)_{M+N}\), 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, Radial limits of partial theta and similar series, 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, Hecke relations among 2d fermionic RCFTs, On double sum generating functions in connection with some classical partition theorems, On identities of the Rogers-Ramanujan type, Generalizations of the Andrews-Bressoud identities for the \(N = 1\) superconformal model \(SM(2, 4\nu )\), Characters, supercharacters and Weber modular functions, Arithmetic properties of \(q\)-Fibonacci numbers and \(q\)-Pell numbers, q -Trinomial identities, Elementary polynomial identities involving \(q\)-trinomial coefficients, A new path description for the {\cal M} (k+1,2k+3) models and the dual {\cal Z}_k graded parafermions, False theta functions and companions to Capparelli's identities
Cites Work
- Further exact solutions of the eight-vertex SOS model and generalizations of the Rogers-Ramanujan identities
- Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
- Lattice gas generalization of the hard hexagon model. III: \(q\)-trinomial coefficients
- Modular invariant partition functions in two dimensions
- Lie algebraic approaches to classical partition identities
- The Weyl-Kac character formula and power series identities
- Virasoro characters from Bethe equations for the critical ferromagnetic three-state Potts model
- The many faces of a character
- 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.
- Invariant skew-symmetric differential operators on the line and Verma modules over the Virasoro algebra
- A bijection which implies Melzer's polynomial identities: The \(\chi_{1,1}^{(p,p+1)}\) case
- 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
- Crystallizing the spinon basis
- Combinatorial constructions of modules for infinite-dimensional Lie algebras. I: Principal subspace
- Fusion algebras of fermionic rational conformal field theories via a generalized Verlinde formula
- Fermionic sum representations for conformal field theory characters
- Some continued fractions of the Rogers-Ramanujan type
- CHARACTERS IN CONFORMAL FIELD THEORIES FROM THERMODYNAMIC BETHE ANSATZ
- DILOGARITHM IDENTITIES, FUSION RULES AND STRUCTURE CONSTANTS OF CFTs
- INTEGRABLE PERTURBATIONS OF CFT WITH COMPLEX PARAMETER: THE M3/5 MODEL AND ITS GENERALIZATIONS
- Virasoro Character Identities from the Andrews–Bailey Construction
- PATH SPACES AND $\mathcal W$ FUSION IN MINIMAL MODELS
- FERMIONIC CHARACTER SUMS AND THE CORNER TRANSFER MATRIX
- POLYNOMIAL IDENTITIES OF THE ROGERS-RAMANUJAN TYPE
- ON STATE COUNTING AND CHARACTERS
- A-D-E POLYNOMIAL AND ROGERS-RAMANUJAN IDENTITIES
- CRYSTALLINE SPINON BASIS FOR RSOS MODELS
- THE ANNIHILATING IDEALS OF MINIMAL MODELS
- Quasi-Particles, Conformal Field Theory, and q-Series
- Exceptional structure of the dilute A3model: E8and E7Rogers-Ramanujan identities
- Partitionen mit Differenzenbedingungen.
- Further Identities of the Rogers-Ramanujan Type
- Unnamed Item
- Unnamed Item
- Unnamed Item