Correspondences between WZNW models and CFTs with W-algebra symmetry

Creutzig T, Hikida Y, Rønne PB (2016)

Publication Type: Journal article

Publication year: 2016

Journal

Journal of High Energy Physics Springer Verlag (Germany) / Institute of Physics / Scuola Internazionale Superiore di Studi Avanzati (SISSA)

Book Volume: 2016

Pages Range: 1-38

Article Number: 48

Journal Issue: 2

DOI: 10.1007/JHEP02(2016)048

Abstract

Abstract: We study theories with W-algebra symmetries and their relation to WZNW-type models on (super-)groups generalizing the H3⁺ WZNW to Liouville correspondence. Correlation functions of the WZNW models are expressed in terms of correlators of CFTs with W-algebra symmetry. The symmetries of the theories involved in these correspondences are related by the Drinfeld-Sokolov reduction of Lie algebras to W-algebras. The W-algebras considered in this paper are the Bershadsky-Polyakov algebra for sl(3) and the quasi-superconformal algebra for generic sl(N|M). The quantum W-algebras obtained from affine sl(N) are constructed using embeddings of sl(2) into sl(N), and these can in turn be characterized by partitions of N. The above cases correspond to N+ 2 = 2 + N1 and its supergroup extension. Finally, sl(2N) and the correspondence corresponding to 2N = N2 is also analyzed. These are all W-algebras that are generated by fields of at most dimension two.

Involved external institutions

University of Alberta

Canada (CA) Rikkyo University / 立教大学

Japan (JP) University of Luxembourg

Luxembourg (LU)

How to cite

APA:

Creutzig, T., Hikida, Y., & Rønne, P.B. (2016). Correspondences between WZNW models and CFTs with W-algebra symmetry. Journal of High Energy Physics, 2016(2), 1-38. https://doi.org/10.1007/JHEP02(2016)048

MLA:

Creutzig, Thomas, Yasuaki Hikida, and Peter B. Rønne. "Correspondences between WZNW models and CFTs with W-algebra symmetry." Journal of High Energy Physics 2016.2 (2016): 1-38.

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