On the extended W-algebra of type sl2 at positive rational level

Tsuchiya, Akihiro and Wood, Simon ORCID: https://orcid.org/0000-0002-8257-0378 2015. On the extended W-algebra of type sl2 at positive rational level. International Mathematics Research Notices 2015 (14) , pp. 5357-5435. 10.1093/imrn/rnu090

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Abstract

The extended W-algebra of type sl2 at positive rational level, denoted byMp+,p−, is a vertex operator algebra (VOA) that was originally proposed in [16]. This VOA is an extension of the minimal model VOA and plays the role of symmetry algebra for certain logarithmic conformal field theories. We give a construction of Mp+,p− in terms of screening operators and use this construction to prove that Mp+,p− satisfies Zhu’s c2-cofiniteness condition, calculate the structure of the zero mode algebra (also known as Zhu’s algebra), and classify all simpleMp+,p−-modules.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	Oxford University Press
ISSN:	1073-7928
Date of First Compliant Deposit:	9 March 2018
Date of Acceptance:	14 May 2014
Last Modified:	02 Nov 2022 09:52
URI:	https://orca.cardiff.ac.uk/id/eprint/96660

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