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

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

2008-04-23

arxiv.org/abs/0804.3635v3

JHEP0807:109,2008

Physics

High Energy Physics

High Energy Physics - Theory

Improved version to appear in JHEP

Scientific paper

10.1088/1126-6708/2008/07/109

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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