Dangerous Liouville Wave — exactly marginal but non - conformal deformation
نویسنده
چکیده
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. E-mail: [email protected] E-mail: [email protected]
منابع مشابه
The Rolling Tachyon Boundary Conformal Field Theory on an Orbifold
We consider the non-trivial boundary conformal field theory with exactly marginal boundary deformation. In recent years this deformation has been studied in the context of rolling tachyons and S-branes in string theory. Here we study the problem directly from an open string point of view, at one loop. We formulate the theory of the Z2 reflection orbifold. To do so, we extend fermionization tech...
متن کاملOn Combinatorial Expansions of Conformal Blocks
In a recent paper [1] the representation of Nekrasov partition function in terms of nontrivial twodimensional conformal field theory has been suggested. For non-vanishing value of the deformation parameter ǫ = ǫ1 + ǫ2 the instanton partition function is identified with a conformal block of Liouville theory with the central charge c = 1 + 6ǫ2/ǫ1ǫ2. If reversed, this observation means that the un...
متن کاملMarginal Deformations of Field Theories with AdS4 Duals
We generate new AdS4 solutions of D = 11 supergravity starting from AdS4 ×X7 solutions where X7 has U(1) isometry. We consider examples where X7 is weak G2, Sasaki-Einstein or tri-Sasakian, corresponding to d = 3 SCFTs with N = 1, 2 or 3 supersymmetry, respectively, and where the deformed solutions preserve N = 1, 2 or 1 supersymmetry, respectively. For the special cases when X7 is M(3, 2), Q(1...
متن کاملNon-Supersymmetric Stable Vacua of M-Theory
We present a non-supersymmetric compactification of M-theory down to seven dimensions which is close to a stable non-supersymmetric vacuum. This compactification is dual to a non-supersymmetric interacting conformal field theory in six dimensions. We argue that a given classical compactification of M-theory or string theory is close to a stable vacuum if it is dual to a conformal field theory w...
متن کاملThe String Theory on AdS3 as a Marginal Deformation of a Linear Dilaton Background
We investigate N -point string scattering amplitudes in AdS3 space. Based on recent observations on the solutions of KZ and BPZ-type differential equations, we discuss how to describe the string theory in AdS3 as a marginal deformation of a (flat) linear dilaton background. This representation resembles the called “discrete light-cone Liouville” realization as well as the FZZ dual description i...
متن کامل