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  A common limit of super Liouville theory and minimal models

Fredenhagen, S., & Wellig, D. (2007). A common limit of super Liouville theory and minimal models. Journal of High Energy Physics, 2007(9): 098. doi:10.1088/1126-6708/2007/09/098.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-47E6-4 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-47E8-F
Genre: Journal Article

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 Creators:
Fredenhagen, Stefan1, Author              
Wellig, David, Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: We show that N=1 supersymmetric Liouville theory can be continued to central charge c=3/2, and that the limiting non-rational superconformal field theory can also be obtained as a limit of supersymmetric minimal models. This generalises a result known for the non-supersymmetric case. We present explicit expressions for the three-point functions of bulk fields, as well as a set of superconformal boundary states. The main technical ingredient to take the limit of minimal models consists in determining analytic expressions for the structure constants. In the appendix we show in detail how the structure constants of supersymmetric and Virasoro minimal models can be rewritten in terms of Barnes' double gamma functions.

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 Dates: 2007-09
 Publication Status: Published in print
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 Identifiers: eDoc: 316891
DOI: 10.1088/1126-6708/2007/09/098
Other: arXiv:0706.1650
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Title: Journal of High Energy Physics
Source Genre: Journal
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Pages: - Volume / Issue: 2007 (9) Sequence Number: 098 Start / End Page: - Identifier: -