# State-operator correspondence in celestial conformal field theory

@article{Crawley2021StateoperatorCI, title={State-operator correspondence in celestial conformal field theory}, author={Erin Crawley and Noah Miller and Sruthi A. Narayanan and Andrew Strominger}, journal={Journal of High Energy Physics}, year={2021} }

Abstract
The bulk-to-boundary dictionary for 4D celestial holography is given a new entry defining 2D boundary states living on oriented circles on the celestial sphere. The states are constructed using the 2D CFT state-operator correspondence from operator insertions corresponding to either incoming or outgoing particles which cross the celestial sphere inside the circle. The BPZ construction is applied to give an inner product on such states whose associated bulk adjoints are shown to… Expand

#### 10 Citations

Conformal Blocks from Celestial Gluon Amplitudes II: Single-valued Correlators

- Physics
- 2021

In a recent paper, here referred to as part I, we considered the celestial fourgluon amplitude with one gluon represented by the shadow transform of the corresponding primary field operator. This… Expand

Celestial OPE blocks

- Physics
- 2021

Starting from the defining two-point and three-point functions of Celestial CFTs, Euclidean integral blocks are constructed for the OPE of scalar primaries. In their integral form they can… Expand

Celestial Feynman Rules for Scalars

- Physics
- 2021

Off-shell celestial amplitudes with both time-like and space-like external legs are defined. The Feynman rules for scalar amplitudes, viewed as a set of recursion relations for off-shell momentum… Expand

Revisiting the conformally soft sector with celestial diamonds

- Physics
- Journal of High Energy Physics
- 2021

Abstract
Celestial diamonds encode the structure of global conformal multiplets in 2D celestial CFT and offer a natural language for describing the conformally soft sector. The operators appearing… Expand

Celestial Operator Product Expansions and ${\rm w}_{1+\infty}$ Symmetry for All Spins

- Physics
- 2021

The operator product expansion of massless celestial primary operators of arbitrary spin is investigated. Poincaré symmetry is found to imply a set of recursion relations on the operator product… Expand

w(1+infinity) and the Celestial Sphere

- Physics
- 2021

It is shown that the infinite tower of tree-level plus-helicity soft graviton symmetries in asymptotically flat 4D quantum gravity can be organized into a single chiral 2D Kac-Moody symmetry based on… Expand

Celestial Holography

- Physics
- 2021

Celestial holography proposes a duality between the gravitational S-matrix and correlators in a conformal field theory living on the celestial sphere. In this white paper, solicited for the 2022… Expand

Celestial Klein Spaces

- Physics
- 2021

We consider the analytic continuation of (p + q)-dimensional Minkowski space (with p and q even) to (p, q)-signature, and study the conformal boundary of the resulting “Klein space”. Unlike the… Expand

w1+∞ and the Celestial Sphere

- 2021

It is shown that the infinite tower of tree-level soft graviton symmetries in asymptotically flat 4D quantum gravity can be organized into a single chiral 2D Kac-Moody symmetry based on the wedge… Expand

Lectures on Celestial Amplitudes

- Physics
- 2021

Lecture notes prepared for the 2021 SAGEX PhD School in Amplitudes hosted by the University of Copenhagen August 10th through 13th. Topics covered include: the manifestation of asymptotic symmetries… Expand

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