Lifshitz holography with isotropic scale invariance

2014/06/30 by Michael Gary, Daniel Grumiller, Stefan Prohazka +1 · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary (topology) #Conformal field theory #Conformal map #Conformal symmetry #Cosmology and Gravitation Theories #Gauge theory #Geometry #Holography #Isotropy #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Primary field #Quantum mechanics #Realization (probability) #Scale invariance #Spin (aerodynamics) #Statistics #Symmetry (geometry) #Theoretical physics #hep-th

paper · pdf · doi:10.1007/jhep08(2014)001

published as JHEP 08 (2014) 001 · 19 pp; v2: minor edits, new refs; v3: added footnote, minor rewordings, to appear in JHEP

arxiv created 2014/07/16 · openalex publication_date 2014/08/01 · arxiv updated 2014/08/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

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 W₃ 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.

Citations

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Cited by

• Chern-Simons Holography: Boundary Conditions, Contractions and Double Extensions for a Journey Beyond Anti-de Sitter
• Higher spin black holes with soft hair
• Three-dimensional spin-3 theories based on general kinematical algebras