Paths and partitions: Combinatorial descriptions of the parafermionic states
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Publication:3583590
DOI10.1063/1.3157921zbMath1248.81200arXiv0903.3550OpenAlexW2042835016MaRDI QIDQ3583590
Publication date: 17 August 2010
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0903.3550
Exact enumeration problems, generating functions (05A15) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)
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Cites Work
- Unnamed Item
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- The \(Z^{(\mathrm{su}(2),3/2)}_k\) parafermions
- Embedding of bases: from the \(\mathcal M(2,2\kappa+1)\) to the \(\mathcal M(3,4\kappa+2-\delta)\) models
- Further exact solutions of the eight-vertex SOS model and generalizations of the Rogers-Ramanujan identities
- Jagged partitions and lattice paths
- Verma modules over the Virasoro algebra
- A quasi-particle description of the \(\mathcal M(3,p)\) models
- Restricted sine-Gordon theory and the minimal conformal series
- A \(\phi_{1,3}\)-filtration of the Virasoro minimal series \(M(p,p')\) with \(1<p'/p<2\)
- On the space of quantum fields in massive two-dimensional theories
- Multiple partitions, lattice paths and a Burge-Bressoud-type correspondence
- Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
- Partitions with prescribed hook differences
- Infinite conformal symmetry in two-dimensional quantum field theory
- Lattice paths and multiple basic hypergeometric series
- A correspondence between partitions related to generalizations of the Rogers-Ramanujan identities
- The Andrews-Gordon identities and \(q\)-multinomial coefficients
- Rogers-Schur-Ramanujan type identities for the \(M(p,p')\) minimal models of conformal field theory
- Critical RSOS and minimal models: fermionic paths, Virasoro algebra and fields
- Parafermionic theory with the symmetry \(Z_N\) for \(N\) even
- Graded parafermions
- 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.
- Graded parafermions: Standard and quasiparticle bases
- Lattice paths, \(q\)-multinomials and two variants of the Andrews-Gordon identities
- Some combinatorial properties of Jack symmetric functions
- Exactly solvable SOS models. Local height probabilities and theta function identities
- Fermionic characters for graded parafermions
- Continued fractions and fermionic representations for characters of \(M(p,p')\) minimal models
- Exact operator solution of the Calogero-Sutherland model
- Combinatorial constructions of modules for infinite-dimensional Lie algebras. I: Principal subspace
- Fermionic sum representations for conformal field theory characters
- The extended algebra of the minimal models
- Paths for \({\mathcal{Z}}_k\) parafermionic models
- Sets of rigged paths with Virasoro characters
- A monomial basis for the Virasoro minimal series \(M(p,p')\): the case \(1<p'/p<2\)
- Jagged partitions
- CHARACTERS IN CONFORMAL FIELD THEORIES FROM THERMODYNAMIC BETHE ANSATZ
- FERMIONIC CHARACTER SUMS AND THE CORNER TRANSFER MATRIX
- Fermionic expressions for minimal model Virasoro characters
- A new family of algebras underlying the Rogers-Ramanujan identities and generalizations
- THE ANNIHILATING IDEALS OF MINIMAL MODELS
- An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli
- Sieves in the Theory of Partitions
- Parafermionic derivation of Andrews-type multiple sums
- Parafermionic character formulae.
- Parafermionic quasi-particle basis and fermionic-type characters
