On Holographic Realization of Logarithmic GCA

Abstract

We study 2-dimensional Logarithmic Galilean Conformal Algebra (LGCA) by making use of a contraction of Topologically Massive Gravity at critical point. We observe that using a naive contraction at the critical point fails to give a well defined theory, though contracting the theory while we are approaching the critical point leads to a well behaved expressions for two point functions of the energy-momentum tensors of LGCA.

13, minor changes, references added

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Cited by in corpus (11)

• Holographic applications of logarithmic conformal field theories
• Conformal Chern-Simons holography - lock, stock and barrel
• Dynamical symmetries and causality in non-equilibrium phase transitions
• Schrödinger symmetry: a historical review
• Causality from dynamical symmetry: an example from local scale-invariance
• Logarithmic Exotic Conformal Galilean Algebras
• Physical ageing and new representations of some Lie algebras of local scale-invariance
• Possible Central Extensions of Non-Relativistic Conformal Algebras in 1+1
• Aspects of infinite dimensional $\ell$-super Galilean conformal algebra
• Correspondence between the contracted BTZ solution of cosmological topological massive gravity and two-dimensional Galilean conformal algebra
• Fractional Galilean Symmetries