Jack polynomials in superspace

DOI10.1007/s00220-003-0933-2zbMath1078.81033arXivhep-th/0209074OpenAlexW3100933511MaRDI QIDQ1416950

Patrick Desrosiers, Luc Lapointe, Pierre Mathieu

Publication date: 16 December 2003

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0209074

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Groups and algebras in quantum theory and relations with integrable systems (81R12) Supermanifolds and graded manifolds (58A50) Basic hypergeometric functions (33D99)

Related Items (13)

Overpartition pairs ⋮ The super-Virasoro singular vectors and Jack superpolynomials relationship revisited ⋮ Orthogonality of Jack polynomials in superspace ⋮ Macdonald polynomials in superspace: conjectural definition and positivity conjectures ⋮ Quasisymmetric harmonics of the exterior algebra ⋮ A superpolynomial version of nonsymmetric Jack polynomials ⋮ Generalized Hermite polynomials in superspace as eigenfunctions of the supersymmetric rational CMS model ⋮ N≥ 𝟐 symmetric superpolynomials ⋮ Conformal partial waves and the operator product expansion ⋮ Jack polynomials with prescribed symmetry and some of their clustering properties ⋮ Jack superpolynomials with negative fractional parameter: clustering properties and super-Virasoro ideals ⋮ Classical symmetric functions in superspace ⋮ Superconformal field theory and Jack superpolynomials

Cites Work

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• The Calogero-Sutherland model and polynomials with prescribed symmetry
• A new class of integrable systems and its relation to solitons
• A recursion and a combinatorial formula for Jack polynomials
• Generalized Hermite polynomials in superspace as eigenfunctions of the supersymmetric rational CMS model
• Elliptic Dunkl operators, root systems, and functional equations
• Some combinatorial properties of Jack symmetric functions
• Jack superpolynomials, superpartition ordering and determinantal formulas
• Harmonic analysis for certain representations of graded Hecke algebras
• Exact operator solution of the Calogero-Sutherland model
• Determinantal expression and recursion for Jack polynomials
• A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras
• Determinantal construction of orthogonal polynomials associated with root systems
• Supersymmetric Calogero-Moser-Sutherland models and Jack superpolynomials

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