Supergroup - Extended super Liouville correspondence

Creutzig T, Hikida Y, Rønne PB (2011)

Publication Type: Journal article

Publication year: 2011

Journal

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

Book Volume: 2011

Article Number: 63

Journal Issue: 6

DOI: 10.1007/JHEP06(2011)063

Abstract

We derive a relation between correlation functions of supergroup WZNW models and conformal field theories with extended superconformal symmetry. The supergroups considered have a bosonic subgroup of the form SL(2) × A for some Lie group A. The corresponding conformal field theory is a super Liouville field theory coupled with the WZNW model on A. An example is a correspondence between the PSU(1,1|2) WZNW model and small N = 4 super Liouville field theory. The OSP(n|2) WZNW model is related to a superconformal field theory with SO(n) extended superconformal symmetry of the Knizhnik-Bershadsky type. In the case n = 4 this is simply the large N = (4, 4) superconformal symmetry. Besides these two examples we make a general derivation encompassing the WZNW models on supergroups SL(2|n), D(2,1;α), OSP(4|2n), F(4) and G(3) and their relation to models with extended superconformal algebras as symmetry. © SISSA 2011.

Involved external institutions

University of North Carolina at Chapel Hill US United States (USA) (US) Keio University JP Japan (JP) University of the Witwatersrand (WITS) ZA South Africa (ZA)

How to cite

APA:

Creutzig, T., Hikida, Y., & Rønne, P.B. (2011). Supergroup - Extended super Liouville correspondence. Journal of High Energy Physics, 2011(6). https://doi.org/10.1007/JHEP06(2011)063

MLA:

Creutzig, Thomas, Yasuaki Hikida, and Peter B. Rønne. "Supergroup - Extended super Liouville correspondence." Journal of High Energy Physics 2011.6 (2011).

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