Holographic Chern-Simons Theories

Abstract

Chern-Simons theories in three dimensions are topological field theories that may have a holographic interpretation for suitable chosen gauge groups and boundary conditions on the fields. Conformal Chern-Simons gravity is a topological model of 3-dimensional gravity that exhibits Weyl invariance and allows various holographic descriptions, including Anti-de Sitter, Lobachevsky and flat space holography. The same model also allows to address some aspects that arise in higher spin gravity in a considerably simplified setup, since both types of models have gauge symmetries other than diffeomorphisms. In these lectures we summarize briefly recent results.

arXiv comment20 pp, invited lectures prepared for the 7th Aegean Summer School "Beyond Einstein's Theory of Gravity", 2013

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Cited by in corpus (12)

• Warped Conformal Field Theory as Lower Spin Gravity
• Near-Horizon Geometry and Warped Conformal Symmetry
• Wilson Lines and Holographic Entanglement Entropy in Galilean Conformal Field Theories
• Flat space (higher spin) gravity with chemical potentials
• Exotic Massive 3D Gravity
• Horizon Fluffs: Near Horizon Soft Hairs as Microstates of Generic AdS3 Black Holes
• Warped AdS_3 Black Holes in Higher Derivative Gravity Theories
• The inside outs of AdS(3)/CFT(2): Exact AdS wormholes with entangled CFT duals
• Chern-Simons Holography: Boundary Conditions, Contractions and Double Extensions for a Journey Beyond Anti-de Sitter
• Notes on su$(1,2)\oplus$u$(1)$ Chern-Simons theory and Torsional Newton-Cartan gravity
• Aspects of Higher Spin Theories, Conformal Field Theories and Holography
• Three dimensional construction of the Virasoro-Bott group