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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Published date: 2011
Keywords:
gauge-gravity correspondence, AdS-cFT Correspondence, holography and condensed matter physics (AdS/CMT)
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Mathematical Sciences
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Local EPrints ID: 341278
URI: http://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: 15 Mar 2024 03:42
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Author:
R.N. Caldeira Costa
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