Causality constraints in AdS-CFT from conformal collider physics and Gauss-Bonnet gravity - High Energy Physics - TheoryReport as inadecuate




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Abstract: We explore the relation between positivity of the energy constraints inconformal field theories and causality in their dual gravity description. Ourdiscussion involves CFTs with different central charges whose description, inthe gravity side, requires the inclusion of quadratic curvature corrections. Itis enough, indeed, to consider the Gauss-Bonnet term. We find that both sidesof the AdS-CFT correspondence impose a restriction on the Gauss-Bonnetcoupling. In the case of 6d supersymmetric CFTs, we show the full matching ofthese restrictions. We perform this computation in two ways. First byconsidering a thermal setup in a black hole background. Second by scrutinizingthe scattering of gravitons with a shock wave in AdS. The different helicitiesprovide the corresponding lower and upper bounds. We generalize these resultsto arbitrary higher dimensions and comment on some hints and puzzles theyprompt regarding the possible existence of higher dimensional CFTs and theextent to which the AdS-CFT correspondence would be valid for them.



Author: Xian O. Camanho, Jose D. Edelstein

Source: https://arxiv.org/







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