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Holography for chiral scale-invariant models

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arxiv 1010.4800 v2 pith:6SNTNBHE submitted 2010-10-22 hep-th

Holography for chiral scale-invariant models

classification hep-th
keywords theoryfieldanisotropicchiraldynamicalexponentholographylifshitz
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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    String Newton-Cartan holography, the non-relativistic limit of the AdS/CFT correspondence, is organized and reviewed around five consistency conditions, with its classical solutions, spectrum, and integrability structure.