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Integrability in gravity from Chern-Simons theory
Journal of High Energy Physics, Volume: 2024
Swansea University Authors: LEWIS COLE, Peter Weck
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DOI (Published version): 10.1007/jhep10(2024)080
Abstract
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 me...
| Published in: | Journal of High Energy Physics |
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| ISSN: | 1029-8479 |
| Published: |
Springer Nature
2024
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa67965 |
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| Abstract: |
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. |
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| Keywords: |
Chern-Simons Theories, Classical Theories of Gravity, Integrable Field Theories, Sigma Models |
| College: |
Faculty of Science and Engineering |
| Funders: |
The work of PW is supported by the STFC grant ST/X000648/1. Article funded by SCOAP3. |