Parity-violating CFT and the gravitational chiral anomaly

C Corianò, S Lionetti, MM Maglio - Physical Review D, 2024 - APS
We illustrate how the conformal Ward identities (CWI) and the gravitational chiral anomaly
completely determine the structure of the⟨ TTJ 5⟩(graviton-graviton-chiral gauge current) …

Three-point functions of higher-spin supercurrents in 4D SCFT: General formalism for arbitrary superspins

EI Buchbinder, J Hutomo, BJ Stone - Physical Review D, 2024 - APS
We analyze the general structure of the three-point functions involving conserved higher-
spin “vectorlike” supercurrents J s (z)≔ J α (s) α˙(s)(z) in four-dimensional N= 1 …

CFT constraints on parity-odd interactions with axions and dilatons

C Corianò, S Lionetti - Physical Review D, 2024 - APS
We illustrate how the conformal Ward identities in momentum space completely determine
the structure of a parity-odd three-point correlator involving currents, energy-momentum …

Correlation functions of conserved currents in (super) conformal field theory

BJ Stone - arXiv preprint arXiv:2407.17384, 2024 - arxiv.org
Correlation functions of conserved currents in (super)conformal field theory arXiv:2407.17384v1
[hep-th] 24 Jul 2024 Page 1 Correlation functions of conserved currents in (super)conformal …

On correlation functions of higher-spin currents in arbitrary dimensions d> 3

M Karapetyan, R Manvelyan, K Mkrtchyan - Journal of High Energy …, 2024 - Springer
A bstract We revisit the problem of classification and explicit construction of the conformal
three-point correlation functions of currents of arbitrary integer spin in arbitrary dimensions …

Quantum anomalies and parity-odd CFT correlators for chiral states of matter

C Corianò, S Lionetti - EPJ Web of Conferences, 2024 - epj-conferences.org
Chiral currents influence the parity-odd sector of CFT correlators in momentum space,
playing a crucial role in the evolution of the quark-gluon plasma in the early universe. We …

Superspace invariants and correlators in 4-dimensional superconformal field theories

A Jain, AA Nizami - arXiv preprint arXiv:2411.01903, 2024 - arxiv.org
Using polarization spinor methods in conjunction with the superspace formalism, we
construct 3-point superconformal invariants that are used to determine the form of 3-point …