Celestial Chiral Algebras and Self-Dual Gravity

Fuente: arXiv
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Autore principale: Heuveline, Simon
Natura: Preprint
Pubblicazione: 2025
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author Heuveline, Simon
author_facet Heuveline, Simon
contents Celestial holography suggests, among other things, that collinear singularities of graviton scattering amplitudes are described by the OPEs of some putative dual CFT. One of the great successes has been the insight that this duality is true at tree-level which led to the discovery of new infinite dimensional symmetry algebras of tree-level amplitudes in flat space closely related to w$_{1+\infty}$. This thesis studies these celestial chiral algebras in the light of twistor theory and derives tree-level deformations thereof induced by non-trivial background geometries that solve some form of the self-dual Einstein equations.
format Preprint
id arxiv_https___arxiv_org_abs_2507_00772
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Celestial Chiral Algebras and Self-Dual Gravity
Heuveline, Simon
High Energy Physics - Theory
General Relativity and Quantum Cosmology
Mathematical Physics
Celestial holography suggests, among other things, that collinear singularities of graviton scattering amplitudes are described by the OPEs of some putative dual CFT. One of the great successes has been the insight that this duality is true at tree-level which led to the discovery of new infinite dimensional symmetry algebras of tree-level amplitudes in flat space closely related to w$_{1+\infty}$. This thesis studies these celestial chiral algebras in the light of twistor theory and derives tree-level deformations thereof induced by non-trivial background geometries that solve some form of the self-dual Einstein equations.
title Celestial Chiral Algebras and Self-Dual Gravity
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
Mathematical Physics
url https://arxiv.org/abs/2507.00772