paper

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

arXiv:0804.3635 · doi:10.1088/1126-6708/2008/07/109

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.

Improved version to appear in JHEP

Cited by in corpus (9)