Correlators of the symmetric product orbifold

Abstract We exploit null vectors of the fractional Virasoro algebra of the symmetric product orbifold to compute correlation functions of twist fields in the large N limit. This yields a new method to derive correlation functions in these orbifold CFTs that is purely based on the symmetry algebra. W...

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Bibliographic Details
Published in:Journal of High Energy Physics
Main Authors: Andrea Dei, Lorenz Eberhardt
Format: Article
Language:English
Published: SpringerOpen 2020-01-01
Subjects:
Online Access:https://doi.org/10.1007/JHEP01(2020)108
Description
Summary:Abstract We exploit null vectors of the fractional Virasoro algebra of the symmetric product orbifold to compute correlation functions of twist fields in the large N limit. This yields a new method to derive correlation functions in these orbifold CFTs that is purely based on the symmetry algebra. We explore various generalisations, such as subleading (torus) contributions or correlation functions of other fields than the bare twist fields. We comment on the consequences of our computation for the AdS3/CFT2 correspondence.
ISSN:1029-8479