Radial expansion for spinning conformal blocks

• Type: Article in International Scientific Journal
• Date: 2016

Authors

Costa, MS (Author) FCUP; Hansen, T (Author) Other; Joao Penedones (Author) FCUP; Trevisani, E (Author) Other

Journal

Title: Journal of High Energy Physics

Vol. 2016

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 44 Citations

Scopus - 48 Citations

Other information

Authenticus ID: P-00K-N8R

DOI: 10.1007/jhep07(2016)057

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 42