Jack superpolynomials with negative fractional parameter: clustering properties and super-Virasoro ideals
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Publication:694986
DOI10.1007/s00220-012-1592-yzbMath1268.81082arXiv1109.2832OpenAlexW3099491293MaRDI QIDQ694986
Patrick Desrosiers, Pierre Mathieu, Luc Lapointe
Publication date: 20 December 2012
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1109.2832
Virasoro and related algebras (17B68) Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Supersymmetry and quantum mechanics (81Q60) Superalgebras (17A70)
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The super-Virasoro singular vectors and Jack superpolynomials relationship revisited, Macdonald polynomials in superspace: conjectural definition and positivity conjectures, N≥ 𝟐 symmetric superpolynomials, Pieri rules for the Jack polynomials in superspace and the 6-vertex model, Jack polynomials with prescribed symmetry and some of their clustering properties, The norm and the evaluation of the Macdonald polynomials in superspace, Double Macdonald polynomials as the stable limit of Macdonald superpolynomials, Jack polynomials as fractional quantum Hall states and the Betti numbers of the \((k+1)\)-equals ideal, Superconformal field theory and Jack superpolynomials
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