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Integrability in gravity from Chern-Simons theory

LEWIS COLE, Peter Weck

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...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: Springer Nature 2024
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URI: https://cronfa.swan.ac.uk/Record/cronfa67965
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spelling 2024-10-11T14:31:31.3711467 v2 67965 2024-10-11 Integrability in gravity from Chern-Simons theory 8bfb09eb5004a26277b2d08fd23116bb LEWIS COLE LEWIS COLE true false 131426ce0a988db69a4f19a27eb1aed0 Peter Weck Peter Weck true false 2024-10-11 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. Journal Article Journal of High Energy Physics 2024 Springer Nature 1029-8479 Chern-Simons Theories, Classical Theories of Gravity, Integrable Field Theories, Sigma Models 9 10 2024 2024-10-09 10.1007/jhep10(2024)080 COLLEGE NANME COLLEGE CODE Swansea University External research funder(s) paid the OA fee (includes OA grants disbursed by the Library) The work of PW is supported by the STFC grant ST/X000648/1. Article funded by SCOAP3. 2024-10-11T14:31:31.3711467 2024-10-11T14:08:56.8260047 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics LEWIS COLE 1 Peter Weck 2 67965__32599__9c0fc85b8b944f6c9b9c27f3949c48e4.pdf 13130_2024_Article_24661.pdf 2024-10-11T14:08:56.8258204 Output 555544 application/pdf Version of Record true © 2024, The Author(s). This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0). true eng http://creativecommons.org/licenses/by/4.0/
title Integrability in gravity from Chern-Simons theory
spellingShingle Integrability in gravity from Chern-Simons theory
LEWIS COLE
Peter Weck
title_short Integrability in gravity from Chern-Simons theory
title_full Integrability in gravity from Chern-Simons theory
title_fullStr Integrability in gravity from Chern-Simons theory
title_full_unstemmed Integrability in gravity from Chern-Simons theory
title_sort Integrability in gravity from Chern-Simons theory
author_id_str_mv 8bfb09eb5004a26277b2d08fd23116bb
131426ce0a988db69a4f19a27eb1aed0
author_id_fullname_str_mv 8bfb09eb5004a26277b2d08fd23116bb_***_LEWIS COLE
131426ce0a988db69a4f19a27eb1aed0_***_Peter Weck
author LEWIS COLE
Peter Weck
author2 LEWIS COLE
Peter Weck
format Journal article
container_title Journal of High Energy Physics
container_volume 2024
publishDate 2024
institution Swansea University
issn 1029-8479
doi_str_mv 10.1007/jhep10(2024)080
publisher Springer Nature
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 0
active_str 0
description 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.
published_date 2024-10-09T14:36:36Z
_version_ 1822413130410491904
score 11.048582

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