Abstract
The AGT motivated relation between the tensor product of the \( \mathcal{N} \) = 1 super-Liouville field theory with the imaginary free fermion (SL) and a certain projected tensor product of the real and the imaginary Liouville field theories (LL) is analyzed. Using conformal field theory techniques we give a complete proof of the equivalence in the NS sector. It is shown that the SL-LL correspondence is based on the equivalence of chiral objects including suitably chosen chiral structure constants of all the three Liouville theories involved.
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Hadasz, L., Jaskólski, Z. Super-Liouville — double Liouville correspondence. J. High Energ. Phys. 2014, 124 (2014). https://doi.org/10.1007/JHEP05(2014)124
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DOI: https://doi.org/10.1007/JHEP05(2014)124