Holography for chiral scale-invariant models

Holography for chiral scale-invariant models

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 Schr¨odinger 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.

gauge-gravity correspondence, AdS-cFT Correspondence, holography and condensed matter physics (AdS/CMT)

JHEP02(2011)082-[54pp]

Caldeira Costa, R.N.

e19eb91c-cd4d-4847-8786-6d04704b313b

Taylor, Marika

5515acab-1bed-4607-855a-9e04252aec22

2011

Caldeira Costa, R.N.

e19eb91c-cd4d-4847-8786-6d04704b313b

Taylor, Marika

5515acab-1bed-4607-855a-9e04252aec22

Caldeira Costa, R.N. and Taylor, Marika
(2011)
Holography for chiral scale-invariant models.
*Journal of High Energy Physics*, 2011 (2), .
(doi:10.1007/JHEP02(2011)082).

## 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 Schr¨odinger 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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## More information

Published date: 2011

Keywords:
gauge-gravity correspondence, AdS-cFT Correspondence, holography and condensed matter physics (AdS/CMT)

Organisations:
Mathematical Sciences

## Identifiers

Local EPrints ID: 341278

URI: https://eprints.soton.ac.uk/id/eprint/341278

PURE UUID: f06be48e-77e2-4f4d-bf1d-8e546a4ca417

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Date deposited: 25 Jul 2012 11:37

Last modified: 18 Jul 2017 05:37

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## Contributors

Author:
R.N. Caldeira Costa

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