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Higher spin 3-point functions in 3d CFT using spinor-helicity variables
S. Jain, R.R. John, A. Mehta, , A. Suresh
Published in Springer Science and Business Media Deutschland GmbH
2021
Volume: 2021
   
Issue: 9
Abstract
In this paper we use the spinor-helicity formalism to calculate 3-point functions involving scalar operators and spin-s conserved currents in general 3d CFTs. In spinor-helicity variables we notice that the parity-even and the parity-odd parts of a correlator are related. Upon converting spinor-helicity answers to momentum space, we show that correlators involving spin-s currents can be expressed in terms of some simple conformally invariant conserved structures. This in particular allows us to understand and separate out contact terms systematically, especially for the parity-odd case. We also reproduce some of the correlators using weight-shifting operators. © 2021, The Author(s).
About the journal
JournalData powered by TypesetJournal of High Energy Physics
PublisherData powered by TypesetSpringer Science and Business Media Deutschland GmbH
ISSN10298479