A note on CFT correlators in three dimensions

Simone Giombi, Shiroman Prakash, Xi Yin

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100 Scopus citations


In this note we present a simple method of constructing general conformally invariant three point functions of operators of various spins in three dimensions. Upon further imposing current conservation conditions, we find new parity violating structures for the three point functions involving either the stress-energy tensor, spin one currents, or higher spin currents. We find that all parity preserving structures for conformally invariant three point functions of higher spin conserved currents can be realized by free fields, whereas there is at most one parity violating structure for three point functions for each set of spins, which is not realized by free fields.

Original languageEnglish (US)
Article number105
JournalJournal of High Energy Physics
Issue number7
StatePublished - 2013
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • Conformal and W Symmetry
  • Field Theories in Lower Dimensions
  • Space-Time Symmetries


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