Ramond singular vectors and Jack superpolynomials

Abstract

The explicit formula for the superconformal singular vectors in the Neveu-Schwarz sector has been obtained recently, via its symmetric polynomial representation, as a sum of Jack superpolynomials. Here we present the analogous, but slightly more complicated, closed-form expression for the Ramond singular vectors.

arXiv comment17 pages

References in corpus (10)

• Collective fields, Calogero-Sutherland model and generalized matrix models
• Excited States of Calogero-Sutherland Model and Singular Vectors of the $W_N$ Algebra
• Yangian Gelfand-Zetlin Bases, gl(N)-Jack Polynomials and computation of Dynamical Correlation Functions in the Spin Calogero-Sutherland Model
• Supersymmetric Calogero-Moser-Sutherland models and Jack superpolynomials
• Bases in coset conformal field theory from AGT correspondence and Macdonald polynomials at the roots of unity
• Correspondence between conformal field theory and Calogero-Sutherland model
• Superconformal field theory and Jack superpolynomials
• Evaluation and normalization of Jack superpolynomials
• Null vectors of the superconformal algebra: the Ramond sector
• Highest weight representations of the N=1 Ramond algebra

Cited by in corpus (5)

• The unitary subsector of generalized minimal models
• Superconformal minimal models and admissible Jack polynomials
• The super-Virasoro singular vectors and Jack superpolynomials relationship revisited
• NSR singular vectors from Uglov polynomials
• N>=2 symmetric superpolynomials