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Spinning dispersive CFT sum rules and bulk scattering
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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.
Forward citations
Cited by 2 Pith papers
-
Infinite Symmetry Algebras in Four-Dimensional Conformal Field Theories
Universal light-ray operators from the stress tensor generate the wedge subalgebra of w_{1+∞} in generic interacting 4D CFTs, with finite one-point functions matching the full tower of soft graviton and gluon factors.
- Bootstrapping 3D Conformal Field Theories with Product Analytic Functionals
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