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On the Relation Between an \(\mathcal{N} = 1\) Supersymmetric Liouville Field Theory and a Pair of Non-SUSY Liouville Fields

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Lie Theory and Its Applications in Physics

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 111))

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Abstract

We discuss a relation between the tensor product of the \(\mathcal{N} = 1\) super-Liouville field theory with the imaginary free fermion and a certain projected tensor product of the real and the imaginary Liouville field theories. Using techniques of two dimensional, conformal field theory we give a complete proof of their equivalence in the NS sector.

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Acknowledgements

This work was financed by the NCN grant DEC2011/01/B/ST1 /01302.

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Correspondence to Leszek Hadasz .

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Hadasz, L., Jaskólski, Z. (2014). On the Relation Between an \(\mathcal{N} = 1\) Supersymmetric Liouville Field Theory and a Pair of Non-SUSY Liouville Fields. In: Dobrev, V. (eds) Lie Theory and Its Applications in Physics. Springer Proceedings in Mathematics & Statistics, vol 111. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55285-7_30

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