Momentum space parity-odd CFT 3-point functions

Abstract

We study the parity-odd sector of 3-point functions comprising of scalar operators and conserved currents in conformal field theories in momentum space. We use momentum space conformal Ward identities as well as spin-raising and weight-shifting operators to fix the form of these correlators. We discuss in detail the regularisation of divergences and their renormalisation using specific counter-terms.

arXiv comment44 pages

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• Hidden sectors of Chern-Simons Matter theories and Exact Holography
• $n$-point functions in Conformal Quantum Mechanics: A Momentum Space Odyssey
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• Three-point functions of fermionic higher-spin currents in 4D conformal field theory