Causality constraints in AdS/CFT from conformal collider physics and Gauss-Bonnet gravity
By Xián O. Camanho, J. Edelstein. 2009
222 citations recorded by the source corpus.
We explore the relation between positivity of the energy constraints in conformal field theories and causality in their dual gravity description. Our discussion involves CFTs with different central charges whose description, in the gravity side, requires the inclusion of quadratic curvature corrections. It is enough, indeed, to consider the Gauss-Bonnet term. We find that both sides of the AdS/CFT correspondence impose a restriction on the Gauss-Bonnet coupling. In the case of 6d supersymmetric CFTs, we show the full matching of these restrictions. We perform this computation in two ways. First by considering a thermal setup in a black hole background. Second by scrutinizing the scattering of gravitons with a shock wave in AdS. The different helicities provide the corresponding lower and upper bounds. We generalize these results to arbitrary higher dimensions and comment on some hints and puzzles they prompt regarding the possible existence of higher dimensional CFTs and the extent to which the AdS/CFT correspondence would be valid for them.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/df5655383459a07edb350d26670d5b639ffec943
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Citations in the corpus
- Causality constraints in conformal field theory (2015, methodology): “A second example comes from gravity, where causality constrains the coefficients of higher curvature corrections [3–6].”
- Holographic entanglement entropy in Lovelock gravities (2011, background): “(Work which uses higher derivative gravitational theories to study unitarity constraints in CFTs includes [12-25].”
- Holographic studies of quasi-topological gravity (2010, methodology): “Excluding the unstable region, it appears the maximum occurs very close to the point in GB gravity where η/s is maximized [17, 16].”
- Modular Hamiltonians for deformed half-spaces and the averaged null energy condition (2016, methodology): “For local quantum field theories, we expect the Hilbert space hΣ to factorize into the tensor product (2)In theories with gravity duals, the HM bounds have also been shown to be related to bulk causality constraints [34,35,45,46].”
- Analytical study on holographic superconductors in external magnetic field (2010, background): “Besides there also exists a lower bound on the Gauss-Bonnet coupling by considering the causality [47, 53, 54].”
- Black holes in quasi-topological gravity (2010, methodology): “Even with a finite coupling for the curvature-squared interaction, this theory still provides some calculation control, which has been exploited in several recent holographic studies [17–29].”
- From correlation functions to event shapes (2013, background): “For example, in the case of one-point correlation, the positivity condition 〈E(n)〉 ≥ 0 is known to be related to the violation of causality for perturbations propagating on top of nontrivial gravitational backgrounds [72,18,73,74].”
- Holographic Lovelock gravities and black holes (2009, background): “Generalizing the matching between causality and positivity of the energy flux to other polarizations in GB theories of arbitrary dimensions was achieved in [15, 16].”
- Holographic GB gravity in arbitrary dimensions (2009, background): “[19] appeared which also explores causality constraints in Gauss-Bonnet gravity.”
- Comments on holographic entanglement entropy and RG flows (2012, background): “In part, this motivated the recent holographic studies of GaussBonnet (GB) gravity [54, 55] — for example, see [56–64].”