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arXiv · 1406.1468

Lifshitz Holography with Isotropic Scale Invariance

Michael Gary·Daniel Grumiller·Stefan Prohazka·Soo-Jong Rey
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Abstract

Is it possible for an anisotropic Lifshitz critical point to actually exhibit isotropic conformal invariance? We answer this question in the affirmative by constructing a concrete holographic realization. We study three-dimensional spin-3 higher-spin gauge theory with a z=2 Lifshitz ground state with non-trivial spin-3 background. We provide consistent boundary conditions and determine the associated asymptotic symmetry algebra. Surprisingly, we find that the algebra consists of two copies of the W_3 extended conformal algebra, which is the extended conformal algebra of an isotropic critical system. Moreover, the central charges are given by 3l/(2G). We consider the possible geometric interpretation of the theory in light of the higher spin gauge invariance and remark on the implications of the asymptotic symmetry analysis.

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Michael Gary, Daniel Grumiller, Stefan Prohazka, Soo-Jong Rey. 2014-07-16. Lifshitz Holography with Isotropic Scale Invariance. https://doi.org/10.1007/jhep08(2014)001

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