W-algebras extending gl (1ǀ1)

Creutzig T, Ridout D (2013)

Publication Type: Conference contribution

Publication year: 2013

Publisher: Springer New York LLC

Book Volume: 36

Pages Range: 349-367

Conference Proceedings Title: Springer Proceedings in Mathematics and Statistics

ISBN: 9784431542698

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

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. © Springer Japan 2013.

Involved external institutions

Australian National University (ANU) AU Australia (AU) Technische Universität Darmstadt DE Germany (DE)

How to cite

APA:

Creutzig, T., & Ridout, D. (2013). W-algebras extending gl (1ǀ1). In Springer Proceedings in Mathematics and Statistics (pp. 349-367). Springer New York LLC.

MLA:

Creutzig, Thomas, and David Ridout. "W-algebras extending gl (1ǀ1)." Proceedings of the Springer Proceedings in Mathematics and Statistics Springer New York LLC, 2013. 349-367.

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