Holographic Aspects of Even-Dimensional Topological Gravity
arXiv:2307.03215 · doi:10.1103/PhysRevD.108.086022
Abstract
In an odd-dimensional spacetime, gravity can be formulated as a proper gauge theory based on the Chern-Simons action for a suitable gauge group. Performing dimensional reduction, one obtains, as an effective theory, Chamseddine's even-dimensional topological gravity with the reduced gauge symmetry. This theory involves a multiplet of scalar fields that appear as a result of the dimensional reduction, and it is topological in the sense that its action does not depend on the metric. Focusing primarily on the four-dimensional case, we use the holographic dictionary to compute one-point correlation functions of the relevant boundary operators and find that the spin-current can have a nonzero expectation value in the dual quantum field theory. We also consider the generalized holographic Weyl anomaly and find that it vanishes. Finally, we propose a way of computing two-point correlation functions using the gravitational Wilson lines.
arXiv comment12 pages, v2: typos corrected
References in corpus (33)
- Comments on the Sachdev-Ye-Kitaev model
- The Holographic Weyl anomaly
- An Investigation of AdS Backreaction and Holography
- Exploring improved holographic theories for QCD: Part I
- Holographic metals and the fractionalized Fermi liquid
- Improved Holographic Yang-Mills at Finite Temperature: Comparison with Data
- Wilson Lines and Entanglement Entropy in Higher Spin Gravity
- Universal hydrodynamics of non-conformal branes
- Comments on the Necessity and Implications of State-Dependence in the Black Hole Interior
- An exact quantization of Jackiw-Teitelboim gravity
- Linearity of Holographic Entanglement Entropy
- Holographic spin liquids and Lovelock Chern-Simons gravity
- Thermodynamics of the two-dimensional black hole in the Teitelboim-Jackiw theory
- Holographic Conformal Partial Waves as Gravitational Open Wilson Networks
- Counterterms and dual holographic anomalies in CS gravity
- Holographic currents in first order Gravity and finite Fefferman-Graham expansions
- Chern-Simons Gravity and Holographic Anomalies
- in JT Gravity and BF Gauge Theory
- Particles as Wilson lines of gravitational field
- Black holes, parallelizable horizons and half-BPS states for the Einstein-Gauss-Bonnet theory in five dimensions
- Non-local observables at finite temperature in AdS/CFT
- Holography in 3D AdS gravity with torsion
- Generalized conformal structure, dilaton gravity and SYK
- Towards Holographic Spintronics
- Universal Gibbons-Hawking-York term for theories with curvature, torsion and non-metricity
- Holography in Lovelock Chern-Simons AdS Gravity
- On gravitational defects, particles and strings
- Black hole solutions in d=5 Chern-Simons gravity
- The dynamical structure of four-dimensional Chamseddine's gauge theory of gravity
- Exact quasinormal modes for a special class of black holes
- Holographic anomaly in 3d f(Ric) gravity
- Entropy from AdS(3)/CFT(2)
- New modes from higher curvature corrections in holography