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arXiv · 2107.00695

Relation between parity-even and parity-odd CFT correlation functions in three dimensions

Sachin Jain·Renjan Rajan John
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Abstract

In this paper we relate the parity-odd part of two and three point correlation functions in theories with exactly conserved or weakly broken higher spin symmetries to the parity-even part which can be computed from free theories. We also comment on higher point functions. The well known connection of CFT correlation functions with de-Sitter amplitudes in one higher dimension implies a relation between parity-even and parity-odd amplitudes calculated using non-minimal interactions such as ${\mathcal W}^3$ and ${\mathcal W}^2 {\widetilde {\mathcal W}}$. In the flat-space limit this implies a relation between parity-even and parity-odd parts of flat-space scattering amplitudes.

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Sachin Jain, Renjan Rajan John. 2021-07-01. Relation between parity-even and parity-odd CFT correlation functions in three dimensions. https://doi.org/10.1007/jhep12(2021)067

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