Holography for chiral scale-invariant models

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.

62 pages; v2, published version, minor improvements and references added

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Cited by in corpus (30)

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• Gauging the Carroll Algebra and Ultra-Relativistic Gravity
• Boundary Stress-Energy Tensor and Newton-Cartan Geometry in Lifshitz Holography
• Lifshitz holography
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