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Holography for chiral scale-invariant models

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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 Schrödinger 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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  1. Institute for Theoretical Physics, Science Park 904, Postbus 94485, 1090 GL, Amsterdam, The Netherlands

    R. N. Caldeira Costa & Marika Taylor

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  1. R. N. Caldeira Costa
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  2. Marika Taylor
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Correspondence to Marika Taylor.

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ArXiv ePrint: 1010.4800

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Caldeira Costa, R.N., Taylor, M. Holography for chiral scale-invariant models. J. High Energ. Phys. 2011, 82 (2011). https://doi.org/10.1007/JHEP02(2011)082

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