W-algebras extending gl (1ǀ1)

Thomas Creutzig; David Ridout

doi:10.1007/978-4-431-54270-4_24

W-algebras extending gl (1ǀ1)

Thomas Creutzig^*, David Ridout

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

21 Citations (Scopus)

Abstract

We have recently shown that gl (1{pipe}1) admits an infinite family of simple current extensions. Here, we review these findings and add explicit free field realizations of the extended algebras. We use them for the computation of leading contributions of the operator product algebra. Amongst others, we find extensions that contain the Feigin-Semikhatov W⁽²⁾_N algebra at levels k = N(3-N)/(N -2) and k = -N + 1 + N^-1 as subalgebras.

Original language	English
Title of host publication	Lie Theory and Its Applications in Physics
Subtitle of host publication	IX International Workshop
Publisher	Springer New York LLC
Pages	349-367
Number of pages	19
ISBN (Print)	9784431542698, 9784431542698
DOIs	https://doi.org/10.1007/978-4-431-54270-4_24
Publication status	Published - 2013

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	36
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

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10.1007/978-4-431-54270-4_24

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abstract = "We have recently shown that gl (1{pipe}1) admits an infinite family of simple current extensions. Here, we review these findings and add explicit free field realizations of the extended algebras. We use them for the computation of leading contributions of the operator product algebra. Amongst others, we find extensions that contain the Feigin-Semikhatov W(2)N algebra at levels k = N(3-N)/(N -2) and k = -N + 1 + N-1 as subalgebras.",

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AU - Ridout, David

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AB - We have recently shown that gl (1{pipe}1) admits an infinite family of simple current extensions. Here, we review these findings and add explicit free field realizations of the extended algebras. We use them for the computation of leading contributions of the operator product algebra. Amongst others, we find extensions that contain the Feigin-Semikhatov W(2)N algebra at levels k = N(3-N)/(N -2) and k = -N + 1 + N-1 as subalgebras.

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BT - Lie Theory and Its Applications in Physics

PB - Springer New York LLC

ER -

W-algebras extending gl (1ǀ1)

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