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arXiv · 0804.3635

Dangerous Liouville Wave -- exactly marginal but non-conformal deformation

Chiu Man Ho·Yu Nakayama
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Abstract

We give a non-trivially interacting field theory example of scale invariant but non-conformal field theory. The model is based on the exactly solvable Liouville field theory coupled with free scalars deformed by an exactly marginal operator. We show non-vanishing of the trace of the energy-momentum tensor by using the quantum Schwinger-Dyson equation for the Liouville field theory, which is a sophistication of the quantum higher equations of motion for the Liouville field theory introduced by Alyosha Zamolodchikov. Possibly dangerous implications for the super-critical string theory will be discussed.

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Chiu Man Ho, Yu Nakayama. 2008-07-26. Dangerous Liouville Wave -- exactly marginal but non-conformal deformation. https://doi.org/10.1088/1126-6708%2F2008%2F07%2F109

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