Journal of High Energy Physics

, 2011:154 | Cite as

Spinning conformal blocks

  • Miguel S. Costa
  • João Penedones
  • David Poland
  • Slava Rychkov
Open Access


For conformal field theories in arbitrary dimensions, we introduce a method to derive the conformal blocks corresponding to the exchange of a traceless symmetric tensor appearing in four point functions of operators with spin. Using the embedding space formalism, we show that one can express all such conformal blocks in terms of simple differential operators acting on the basic scalar conformal blocks. This method gives all conformal blocks for conformal field theories in three dimensions. We demonstrate how this formalism can be applied in a few simple examples.


AdS-CFT Correspondence Conformal Field Models in String Theory SpaceTime Symmetries 


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© The Author(s) 2011

Open Access This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

Authors and Affiliations

  • Miguel S. Costa
    • 1
  • João Penedones
    • 2
  • David Poland
    • 3
    • 4
  • Slava Rychkov
    • 5
  1. 1.Centro de Física do Porto, Departamento de Física e AstronomiaFaculdade de Ciências da Universidade do PortoPortoPortugal
  2. 2.Perimeter Institute for Theoretical PhysicsWaterlooCanada
  3. 3.Jefferson Physical LaboratoryHarvard UniversityCambridgeUSA
  4. 4.School of Natural Sciences, Institute for Advanced StudyPrincetonUSA
  5. 5.Laboratoire de Physique Théorique, École Normale Supérieure, and Faculté de PhysiqueUniversité Pierre et Marie CurieParis VIFrance

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