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On the three-point functions in timelike N=1 Liouville CFT
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We use analytic (super-)conformal bootstrap methods to derive explicit expressions for the structure constants of N=1 Liouville CFT in the `timelike' regime of the superconformal central charge. The obtained expressions take the form of inverses of the appropriate spacelike counterparts, which we explain concretely by elucidating the analytic properties of the corresponding shift relations in the NS- and R-sectors for the normalization-independent bootstrap data on the sphere. In a particular normalization, the timelike structure constants are shown to agree with the OPE coefficients of N=1 Minimal Models when specified at degenerate values of the momenta, exactly as in the non-supersymmetric case. We discuss possible applications of our results, with emphasis on the construction of the N=1 supersymmetric analog of the Virasoro Minimal String.
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Further aspects of Supersymmetric Virasoro Minimal Strings
The paper defines the 0B supersymmetric Virasoro minimal string as an average of two 0A models and shows its loop correlators beyond the leading disc and cylinder vanish to all orders in perturbation theory.
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