RT Journal Article
T1 Holography and correlation functions of huge operators: spacetime bananas
A1 Abajian, Jacob
A1 Aprile, Francesco
A1 Myers, Robert C.
A1 Vieira, Pedro
AB We initiate the study of holographic correlators for operators whose dimension scales with the central charge of the CFT. Differently from light correlators or probes, the insertion of any such maximally heavy operator changes the AdS metric, so that the correlator itself is dual to a backreacted geometry with marked points at the Poincare boundary. We illustrate this new physics for two-point functions. Whereas the bulk description of light or probe operators involves Witten diagrams or extremal surfaces in an AdS background, the maximally heavy two-point functions are described by nontrivial new geometries which we refer to as "spacetime bananas". As a universal example, we discuss the two-point function of maximally heavy scalar operators described by the Schwarzschild black hole in the bulk and we show that its onshell action reproduces the expected CFT result. This computation is nonstandard, and adding boundary terms to the action on the stretched horizon is crucial. Then, we verify the conformal Ward Identity from the holographic stress tensor and discuss important aspects of the Fefferman-Graham patch. Finally we study a Heavy-Heavy-Light-Light correlator by using geodesics propagating in the banana background. Our main motivation here is to set up the formalism to explore possible universal results for three- and higher-point functions of maximally heavy operators.
PB Springer
SN 1126-6708
YR 2023
FD 2023-12-12
LK https://hdl.handle.net/20.500.14352/102081
UL https://hdl.handle.net/20.500.14352/102081
LA eng
NO 2023 Descuento SCOAP
NO Government of Canada through the Department of Innovation, Science, and Economic Development Canada
NO Province of Ontario through the Ministry of Colleges and Universities
NO Natural Sciences and Engineering Research Council of Canada
NO Simons Foundation through the "It from Qubit"
NO Fundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP)
NO National Science Foundation
NO Programa Ramón y Cajal
NO Ministerio de Ciencia e Innovación (España)
NO Unión Europea. Next Generation
NO Agencia Estatal de Investigación (España)
DS Docta Complutense
RD 8 abr 2025