Lifshitz holography with isotropic scale invariance
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 threedimensional spin3 higherspin gauge theory with a z = 2 Lifshitz ground state with nontrivial spin3 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 extended conformal algebra, which is the extended conformal algebra of an isotropic critical system. Moreover, the central charges are given by 3 ℓ/(2 G). 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.
 Publication:

Journal of High Energy Physics
 Pub Date:
 August 2014
 DOI:
 10.1007/JHEP08(2014)001
 arXiv:
 arXiv:1406.1468
 Bibcode:
 2014JHEP...08..001G
 Keywords:

 Higher Spin Symmetry;
 AdSCFT Correspondence;
 ChernSimons Theories;
 High Energy Physics  Theory
 EPrint:
 19 pp