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Superconformal minimal models and admissible Jack polynomials

Blondeau-Fournier, O; Mathieu, Pierre; Ridout, David; Wood, Simon

Description

We give new proofs of the rationality of the N=1 superconformal minimal model vertex operator superalgebras and of the classification of their modules in both the Neveu–Schwarz and Ramond sectors. For this, we combine the standard free field realisation with the theory of Jack symmetric functions. A key role is played by Jack symmetric polynomials with a certain negative parameter that are labelled by admissible partitions. These polynomials are shown to describe free fermion correlators,...[Show more]

CollectionsANU Research Publications
Date published: 2017
Type: Journal article
URI: http://hdl.handle.net/1885/218430
Source: Advances in Mathematics
DOI: 10.1016/j.aim.2017.04.026

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