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arXiv · 2106.00016

Higher spin 3-point functions in 3d CFT using spinor-helicity variables

Sachin Jain·Renjan Rajan John·Abhishek Mehta·Amin A. Nizami·Adithya Suresh
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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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Sachin Jain, Renjan Rajan John, Abhishek Mehta, Amin A. Nizami, Adithya Suresh. 2021-09-22. Higher spin 3-point functions in 3d CFT using spinor-helicity variables. https://doi.org/10.1007/jhep09(2021)041

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