REVIEW 6 cited by
A note on three-point functions of conserved currents
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
We find the form of three-point correlation functions of traceless symmetric conserved currents of arbitrary spin in d-dimensional conformal field theory (CFT). These are fixed up to several constants by conformal symmetry and current conservation conditions. We present generating functionals for all structures in arbitrary d. In even dimensions we present an interpretation for each structure in terms of the corresponding free field. In odd dimensions d>3 an infinite number of structures is found which are not generated by known CFTs.
Forward citations
Cited by 6 Pith papers
-
4d CFT Correlators from Ambitwistors
Conserved spinning two- and three-point correlators in 4d CFTs are obtained from holomorphic contour integrals on ambitwistor space, with spin, parity, and even a conformally coupled scalar treated uniformly.
-
Dissecting supergraviton six-point function with lightcone limits and chiral algebra
A bootstrap combining lightcone OPEs with chiral algebra and a topological twist determines the six-point supergraviton Mellin amplitude in AdS5 x S5 up to an overall constant, passing a flat-space KLT check.
-
From chiral to conformal anomalies: a double copy perspective for CFT correlators
Squaring the chiral-anomaly three-current correlator, in its five-dimensional flat-space limit, reproduces the conformal-anomaly contribution to the stress-tensor three-point function.
-
Symmetric formulation for higher spin correlators, quantum effective action and anomaly
The trace anomaly of the higher-spin conformal effective action is shown to be the single source of both trace and gauge anomalies, with a 2s-derivative structure in d=4.
-
Constructive approach to solution of the conservation condition for conformal higher spin tree-point correlation function with equal spins
For equal-spin currents up to spin four, conserved three-point correlators can be constructed explicitly as linear combinations of products of spin-one and spin-two Osborn-Petkou building blocks.
-
Constraining Conformal Correlators
Rigorous proof that rational parts of spinning conformal correlators are spanned by known building blocks, plus combinatorial counts and closed formulas for three-point structures.
Discussion (0). Continue with ORCID to comment.