The super-Virasoro singular vectors and Jack superpolynomials relationship revisited

DOI10.1016/j.nuclphysb.2016.09.003zbMath1349.81126arXiv1605.08621OpenAlexW2403949945MaRDI QIDQ347540

David Ridout, Pierre Mathieu, Simon Wood, Olivier Blondeau-Fournier

Publication date: 30 November 2016

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.08621

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Model quantum field theories (81T10) Supersymmetric field theories in quantum mechanics (81T60) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Superalgebras (17A70)

Related Items (6)

NSR singular vectors from Uglov polynomials ⋮ Super-quantum curves from super-eigenvalue models ⋮ From CFT to Ramond super-quantum curves ⋮ Admissible level \(\mathfrak{osp}(1|2)\) minimal models and their relaxed highest weight modules ⋮ Singular vectors for the WN algebras ⋮ Superconformal minimal models and admissible Jack polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bases in coset conformal field theory from AGT correspondence and Macdonald polynomials at the roots of unity
• Jack superpolynomials with negative fractional parameter: clustering properties and super-Virasoro ideals
• Correspondence between conformal field theory and Calogero-Sutherland model
• Relaxed singular vectors, Jack symmetric functions and fractional level \(\widehat{\mathfrak{sl}}(2)\) models
• Collective field theory, Calogero-Sutherland model and generalized matrix models
• Jack polynomials in superspace
• Representation theory of Neveu-Schwarz and Ramond algebras. II: Fock modules.
• Superconformal field theory and Jack superpolynomials
• Singular vectors of the Virasoro algebra in terms of Jack symmetric polynomials
• Macdonald polynomials in superspace: conjectural definition and positivity conjectures
• Superconformal minimal models and admissible Jack polynomials
• Macdonald polynomials in superspace as eigenfunctions of commuting operators
• Classical symmetric functions in superspace
• Dynamics of One-Dimensional Quantum Systems
• Evaluation and Normalization of Jack Superpolynomials
• From Jack polynomials to minimal model spectra
• Ramond singular vectors and Jack superpolynomials

This page was built for publication: The super-Virasoro singular vectors and Jack superpolynomials relationship revisited