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.
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Jain, S., John, R.R., Mehta, A. et al. Higher spin 3-point functions in 3d CFT using spinor-helicity variables. J. High Energ. Phys. 2021, 41 (2021). https://doi.org/10.1007/JHEP09(2021)041
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DOI: https://doi.org/10.1007/JHEP09(2021)041