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Relaxed singular vectors, Jack symmetric functions and fractional level slˆ(2) models

Ridout, David; Wood, Simon

Description

The fractional level models are (logarithmic) conformal field theories associated with affine Kac–Moody (super)algebras at certain levels k∈Q . They are particularly noteworthy because of several longstanding difficulties that have only recently been resolved. Here, Wakimoto's free field realisation is combined with the theory of Jack symmetric functions to analyse the fractional level slˆ(2) models. The first main results are explicit formulae for the singular vectors of minimal grade in...[Show more]

CollectionsANU Research Publications
Date published: 2015-05
Type: Journal article
URI: http://hdl.handle.net/1885/110171
Source: Nuclear Physics B
DOI: 10.1016/j.nuclphysb.2015.03.023

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