Probing universalities in d > 2 CFTs: from black holes to shockwaves
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Published version
Date
2019-11
Authors
Fitzpatrick, A. Liam
Huang, Kuo-Wei
Li, Daliang
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Citation
A.L. Fitzpatrick, K.-.W. Huang, D. Li. 2019. "Probing universalities in d > 2 CFTs: from black holes to shockwaves." Journal of High Energy Physics, Volume 2019, Issue 11, https://doi.org/10.1007/jhep11(2019)139
Abstract
Gravitational shockwaves are insensitive to higher-curvature corrections in the action. Recent work found that the OPE coefficients of lowest-twist multi-stress-tensor operators, computed holographically in a planar black hole background, are insensitive as well. In this paper, we analyze the relation between these two limits. We explicitly evaluate the two-point function on a shockwave background to all orders in a large central charge expansion. In the geodesic limit, we find that the ANEC exponentiates in the multi-stress-tensor sector. To compare with the black hole limit, we obtain a recursion relation for the lowest-twist products of two stress tensors in a spherical black hole background, letting us efficiently compute their OPE coefficients and prove their insensitivity to higher curvature terms. After resumming the lowest-twist stress-tensors and analytically continuing their contributions to the Regge limit, we find a perfect agreement with the shockwave computation. We also discuss the role of double-trace operators, global degenerate states, and multi-stress-tensor conformal blocks. These holographic results suggest the existence of a larger universal structure in higher-dimensional CFTs.
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