Mellin amplitudes for fermionic conformal correlators

Open Access
Regular Article - Theoretical Physics


We define Mellin amplitudes for the fermion-scalar four point function and the fermion four point function. The Mellin amplitude thus defined has multiple components each associated with a tensor structure. In the case of three spacetime dimensions, we explicitly show that each component factorizes on dynamical poles onto components of the Mellin amplitudes for the corresponding three point functions. The novelty here is that for a given exchanged primary, each component of the Mellin amplitude may in general have more than one series of poles. We present a few examples of Mellin amplitudes for tree-level Witten diagrams and tree-level conformal Feynman integrals with fermionic legs, which illustrate the general properties.


Conformal Field Theory AdS-CFT Correspondence 


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Copyright information

© The Author(s) 2018

Authors and Affiliations

  1. 1.Institut für Physik, Humboldt-Universität zu BerlinBerlinGermany
  2. 2.Institut für Mathematik, Humboldt-Universität zu BerlinBerlinGermany
  3. 3.Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-InstitutPotsdamGermany
  4. 4.Harish-Chandra Research Institute, HBNIAllahabadIndia
  5. 5.International Centre for Theoretical Sciences, TIFRBengaluruIndia

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