Multitwist Trajectories and Decoupling Zeros in Conformal Field Theory

Conformal Regge theory predicts the existence of analytically continued conformal field theory data for complex spin. How could this work when there are so many more operators with large spin compared to small spin? Using planar N = 4 SYM as a test ground, we find a simple physical picture. Operator...

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Bibliographic Details
Published in:Physical review letters Vol. 134; no. 1; p. 011602
Main Authors: Homrich, Alexandre, Simmons-Duffin, David, Vieira, Pedro
Format: Journal Article
Language:English
Published: United States 10.01.2025
ISSN:0031-9007, 1079-7114, 1079-7114
Online Access:Get full text
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Summary:Conformal Regge theory predicts the existence of analytically continued conformal field theory data for complex spin. How could this work when there are so many more operators with large spin compared to small spin? Using planar N = 4 SYM as a test ground, we find a simple physical picture. Operators do organize themselves into analytic families but the continuation of the higher families have zeros in their structure operator product expansion constants for lower integer spins. They thus decouple. Newton’s interpolation series technique is perfectly suited to this physical problem and will allow us to explore the complex spin half-plane.
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ISSN:0031-9007
1079-7114
1079-7114
DOI:10.1103/PhysRevLett.134.011602