Large spin systematics in CFT

Abstract

Using conformal field theory (CFT) arguments we derive an infinite number of constraints on the large spin expansion of the anomalous dimensions and structure constants of higher spin operators. These arguments rely only on analiticity, unitarity, crossing-symmetry and the structure of the conformal partial wave expansion. We obtain results for both, perturbative CFT to all order in the perturbation parameter, as well as non-perturbatively. For the case of conformal gauge theories this provides a proof of the reciprocity principle to all orders in perturbation theory and provides a new "reciprocity" principle for structure constants. We argue that these results extend also to non-conformal theories.

20 pages; v2: version published in JHEP

References in corpus (5)

• Comments on operators with large spin
• Anomalous dimensions of high-spin operators beyond the leading order
• Twist-three at five loops, Bethe Ansatz and wrapping
• Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM
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