期刊
FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS
卷 66, 期 8-9, 页码 -出版社
WILEY-V C H VERLAG GMBH
DOI: 10.1002/prop.201800038
关键词
conformal partial waves; Mellin bootstrap
资金
- Marina Solvay Fellowship
- European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant [747228]
- Russian Science Foundation [14-42-00047]
- Fund for Scientific Research-FNRS Belgium [FC 6369]
- Lebedev Physical Institute
- Marie Curie Actions (MSCA) [747228] Funding Source: Marie Curie Actions (MSCA)
- Russian Science Foundation [17-42-00002] Funding Source: Russian Science Foundation
We study conformal partial waves (CPWs) in Mellin space with totally symmetric external operators of arbitrary integer spin. The exchanged spin is arbitrary, and includes mixed symmetry and (partially)-conserved representations. In a basis of CPWs recently introduced in arXiv:1702.08619, we find a remarkable factorisation of the external spin dependence in their Mellin representation. This property allows a relatively straightforward study of inversion formulae to extract OPE data from the Mellin representation of spinning 4pt correlators and in particular, to extract closed-form expressions for crossing kernels of spinning CPWs in terms of the hypergeometric function F-4(3). We consider numerous examples involving both arbitrary internal and external spins, and for both leading and sub-leading twist operators. As an application, working in general d we extract new results for O(1/N) anomalous dimensions of double-trace operators induced by double-trace deformations constructed from single-trace operators of generic twist and integer spin. In particular, we extract the anomalous dimensions of double-trace operators [O-J phi](n),(l) with O-J a single-trace operator of integer spin J.
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