期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 11, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP11(2018)052
关键词
1/N Expansion; AdS-CFT Correspondence; Conformal Field Theory; Scattering Amplitudes
资金
- Danish National Research Foundation [DNRF91]
- ERC Starting Grant [757978]
- Villum Fonden
- WPI initiative, MEXT Japan at IPMU
- University of Tokyo
- European Research Council (ERC) [757978] Funding Source: European Research Council (ERC)
We compute anomalous dimensions of higher spin operators in Conformal Field Theory at arbitrary space-time dimension by using the OPE inversion formula of [1], both from the position space representation as well as from the integral viz. Mellin representation of the conformal blocks. The Mellin space is advantageous over the position space not only in allowing to write expressions agnostic to the space-time dimension, but also in that it replaces tedious recursion relations in terms of simple sums which are easy to perform. We evaluate the contributions of scalar and spin exchanges in the t-channel exactly, in terms of higher order Hypergeometric functions. These relate to a particular exchange of conformal spin = + J in the s-channel through the inversion formula. Our results reproduce the special cases for large spin anomalous dimension and OPE coefficients obtained previously in the literature.
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