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Main Authors: Chang, Cyuan-Han, Landau, Yakov, Simmons-Duffin, David
Format: Preprint
Published: 2023
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Online Access:https://arxiv.org/abs/2311.04271
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author Chang, Cyuan-Han
Landau, Yakov
Simmons-Duffin, David
author_facet Chang, Cyuan-Han
Landau, Yakov
Simmons-Duffin, David
contents We use commutativity of null-integrated operators on the same null plane to construct dispersive CFT sum rules for spinning operators. The contribution of heavy blocks to these sum rules is dominated by a saddle configuration that we call the "scattering crystal." Correlators in this configuration have a natural flat-space interpretation, which allows us to build a dictionary between dispersive CFT sum rules for stress-tensors and flat-space dispersion relations for gravitons. This dictionary is a crucial step for establishing the HPPS conjecture for stress tensor correlators.
format Preprint
id arxiv_https___arxiv_org_abs_2311_04271
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Spinning dispersive CFT sum rules and bulk scattering
Chang, Cyuan-Han
Landau, Yakov
Simmons-Duffin, David
High Energy Physics - Theory
We use commutativity of null-integrated operators on the same null plane to construct dispersive CFT sum rules for spinning operators. The contribution of heavy blocks to these sum rules is dominated by a saddle configuration that we call the "scattering crystal." Correlators in this configuration have a natural flat-space interpretation, which allows us to build a dictionary between dispersive CFT sum rules for stress-tensors and flat-space dispersion relations for gravitons. This dictionary is a crucial step for establishing the HPPS conjecture for stress tensor correlators.
title Spinning dispersive CFT sum rules and bulk scattering
topic High Energy Physics - Theory
url https://arxiv.org/abs/2311.04271