Integrability in Gravity from Chern-Simons Theory

Autor:	Cole, Lewis T., Weck, Peter
Rok vydání:	2024
Předmět:	High Energy Physics - Theory
Zdroj:	Journal of High Energy Physics 2024, 80 (2024)
Druh dokumentu:	Working Paper
DOI:	10.1007/JHEP10(2024)080
Popis:	This paper presents a new perspective on integrability in theories of gravity. We show how the stationary, axisymmetric sector of General Relativity can be described by the boundary dynamics of a four-dimensional Chern-Simons theory. This approach shows promise for simplifying solution generating methods in both General Relativity and higher-dimensional supergravity theories. The four-dimensional Chern-Simons theory presented generalises those for flat space integrable models by introducing a space-time dependent branch cut in the spectral plane. We also make contact with twistor space approaches to integrability, showing how the branch cut defects of four-dimensional Chern-Simons theory arise from a discrete reduction of six-dimensional Chern-Simons theory. Comment: 41 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2407.08782 Zobrazit plný text záznamu View this record from Arxiv