Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 7, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP07(2016)057
Keywords
Conformal and W Symmetry; Field Theories in Higher Dimensions
Categories
Funding
- [European Union] 7th Framework Programme (Marie Curie Actions) under (GATIS) [269217, 317089]
- Portuguese Fundacao para a Ciencia e a Tecnologia (FCT) [SFRH/BD/51984/2012]
- Perimeter Institute for Theoretical Physics
- Government of Canada through Industry Canada
- Province of Ontario though Ministry of Economic Development Innovation
- [CERN/FIS-NUC/0045/2015]
- Fundação para a Ciência e a Tecnologia [CERN/FIS-NUC/0045/2015, SFRH/BD/51984/2012] Funding Source: FCT
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This paper develops a method to compute any bosonic conformal block as a series expansion in the optimal radial coordinate introduced by Hogervorst and Rychkov. The method reduces to the known result when the external operators are all the same scalar operator, but it allows to compute conformal blocks for external operators with spin. Moreover, we explain how to write closed form recursion relations for the coefficients of the expansions. We study three examples of four point functions in detail: one vector and three scalars; two vectors and two scalars; two spin 2 tensors and two scalars. Finally, for the case of two external vectors, we also provide a more efficient way to generate the series expansion using the analytic structure of the blocks as a function of the scaling dimension of the exchanged operator.
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