Integrability in gravity from Chern-Simons theory

• DOI: 10.1007/jhep10(2024)080
• Publication Date: 2024-10-10T00:01:48Z
• Authors: Lewis T. Cole; Peter Weck
• Keywords: Chern–Simons theory; Massive gravity; Parameterized post-Newtonian formalism

A bstract This paper presents a new perspective on integrability in theories of gravity. We show how the stationary, axisymmetric sector General Relativity can be described by boundary dynamics four-dimensional Chern-Simons theory. approach shows promise for simplifying solution generating methods both and higher-dimensional supergravity theories. The theory presented generalises those flat space integrable models introducing space-time dependent branch cut spectral plane. also make contact with twistor approaches to integrability, showing defects arise from discrete reduction six-dimensional