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arXiv · 1010.4800

Holography for chiral scale-invariant models

R. N. Caldeira Costa·Marika Taylor
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Abstract

Deformation of any d-dimensional conformal field theory by a constant null source for a vector operator of dimension (d + z -1) is exactly marginal with respect to anisotropic scale invariance, of dynamical exponent z. The holographic duals to such deformations are AdS plane waves, with z=2 being the Schrodinger geometry. In this paper we explore holography for such chiral scale-invariant models. The special case of z=0 can be realized with gravity coupled to a scalar, and is of particular interest since it is related to a Lifshitz theory with dynamical exponent two upon dimensional reduction. We show however that the corresponding reduction of the dual field theory is along a null circle, and thus the Lifshitz theory arises upon discrete light cone quantization of an anisotropic scale invariant field theory.

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R. N. Caldeira Costa, Marika Taylor. 2011-03-16. Holography for chiral scale-invariant models. https://doi.org/10.1007/jhep02(2011)082

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