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Paths and partitions: Combinatorial descriptions of the parafermionic states - MaRDI portal

Paths and partitions: Combinatorial descriptions of the parafermionic states (Q3583590)

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Language	Label	Description	Also known as
English	Paths and partitions: Combinatorial descriptions of the parafermionic states	scientific article

Statements

scholarly article

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Paths and partitions: Combinatorial descriptions of the parafermionic states (English)

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zbMATH Open document ID

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10.1063/1.3157921

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Journal of Mathematical Physics

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publication date

17 August 2010

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full work available at URL

https://arxiv.org/abs/0903.3550

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

conformal field theory

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fermion systems

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MaRDI profile type

MaRDI publication profile

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Lattice paths and multiple basic hypergeometric series

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Sieves in the Theory of Partitions

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An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli

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Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities

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Partitions with prescribed hook differences

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Fermionic characters for graded parafermions

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Infinite conformal symmetry in two-dimensional quantum field theory

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

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Continued fractions and fermionic representations for characters of \(M(p,p')\) minimal models

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Rogers-Schur-Ramanujan type identities for the \(M(p,p')\) minimal models of conformal field theory

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Lattice paths, \(q\)-multinomials and two variants of the Andrews-Gordon identities

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A correspondence between partitions related to generalizations of the Rogers-Ramanujan identities

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Graded parafermions

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On the space of quantum fields in massive two-dimensional theories

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Exactly solvable SOS models. Local height probabilities and theta function identities

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Parafermionic theory with the symmetry \(Z_N\) for \(N\) even

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Verma modules over the Virasoro algebra

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THE ANNIHILATING IDEALS OF MINIMAL MODELS

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A monomial basis for the Virasoro minimal series \(M(p,p')\): the case \(1<p'/p<2\)

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Sets of rigged paths with Virasoro characters

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A \(\phi_{1,3}\)-filtration of the Virasoro minimal series \(M(p,p')\) with \(1<p'/p<2\)

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Critical RSOS and minimal models: fermionic paths, Virasoro algebra and fields

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Further exact solutions of the eight-vertex SOS model and generalizations of the Rogers-Ramanujan identities

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Jagged partitions

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Combinatorial constructions of modules for infinite-dimensional Lie algebras. I: Principal subspace

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Parafermionic character formulae.

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Parafermionic quasi-particle basis and fermionic-type characters

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Graded parafermions: Standard and quasiparticle bases

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Parafermionic derivation of Andrews-type multiple sums

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The \(Z^{(\mathrm{su}(2),3/2)}_k\) parafermions

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A quasi-particle description of the \(\mathcal M(3,p)\) models

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Embedding of bases: from the \(\mathcal M(2,2\kappa+1)\) to the \(\mathcal M(3,4\kappa+2-\delta)\) models

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Paths for \({\mathcal{Z}}_k\) parafermionic models

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Multiple partitions, lattice paths and a Burge-Bressoud-type correspondence

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Jagged partitions and lattice paths

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Fermionic sum representations for conformal field theory characters

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CHARACTERS IN CONFORMAL FIELD THEORIES FROM THERMODYNAMIC BETHE ANSATZ

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Exact operator solution of the Calogero-Sutherland model

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Restricted sine-Gordon theory and the minimal conformal series

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A new family of algebras underlying the Rogers-Ramanujan identities and generalizations

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The extended algebra of the minimal models

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FERMIONIC CHARACTER SUMS AND THE CORNER TRANSFER MATRIX

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Some combinatorial properties of Jack symmetric functions

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Fermionic solution of the Andrews-Baxter-Forrester model. I: Unification of TBA and CTM methods.

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Fermionic solution of the Andrews-Baxter-Forrester model. II: Proof of Melzer's polynomial identities.

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The Andrews-Gordon identities and \(q\)-multinomial coefficients

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Fermionic expressions for minimal model Virasoro characters

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Mathematics(1 entry)

mardi Publication:3583590

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