A common limit of super Liouville theory and minimal models

Details A common limit of super Liouville theory and minimal models A common limit of super Liouville theory and minimal models

2007-06-12

arxiv.org/abs/0706.1650v2

JHEP 0709:098,2007

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, references added

Scientific paper

10.1088/1126-6708/2007/09/098

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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