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 \( {\mathcal{W}}_3 \) 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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Gary, M., Grumiller, D., Prohazka, S. et al. Lifshitz holography with isotropic scale invariance. J. High Energ. Phys. 2014, 1 (2014). https://doi.org/10.1007/JHEP08(2014)001
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DOI: https://doi.org/10.1007/JHEP08(2014)001