REVIEW 5 cited by
Projectors, Shadows, and Conformal Blocks
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
abstract
We introduce a method for computing conformal blocks of operators in arbitrary Lorentz representations in any spacetime dimension, making it possible to apply bootstrap techniques to operators with spin. The key idea is to implement the "shadow formalism" of Ferrara, Gatto, Grillo, and Parisi in a setting where conformal invariance is manifest. Conformal blocks in $d$-dimensions can be expressed as integrals over the projective null-cone in the "embedding space" $\mathbb{R}^{d+1,1}$. Taking care with their analytic structure, these integrals can be evaluated in great generality, reducing the computation of conformal blocks to a bookkeeping exercise. To facilitate calculations in four-dimensional CFTs, we introduce techniques for writing down conformally-invariant correlators using auxiliary twistor variables, and demonstrate their use in some simple examples.
Forward citations
Cited by 5 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.
-
Celestial Regge theory
Celestial pair correlators in the Regge limit are shown to encode bulk Regge-pole residues, giving a dictionary between celestial CFT OPE data and bulk partial amplitudes (eq. 5.6).
-
Regge trajectories, detectors, and distributions in the critical ${\rm O}(N)$ model
In the critical O(N) model, renormalizing detector and distribution light-ray operators at leading order in 1/N yields Regge intercepts, the leading-twist splitting function, and a BFKL-type anomalous spin.
-
An Ode to the Penrose and Witten transforms in Twistor space for 3D CFT
The authors show that the infinity twistor must be added to twistor-space invariants to describe general primary operators in 3D CFTs, and they derive the corresponding Penrose, Witten, and super-Penrose transforms.
-
Lectures on the Spinor and Twistor Formalism in 3D Conformal Field Theory
Lecture notes recapping off-shell spinor helicity, twistor, and super-twistor methods for 3d CFT correlators, with 55 exercises and no substantial new research result.
Discussion (0). Continue with ORCID to comment.