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Off-shell color-kinematics duality for Chern-Simons
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics. Uppsala Univ, DeptStockholm Univ, NORDITA, Hannes Alfvens Vag 12, S-10691 Stockholm, Sweden.;KTH Royal Inst Technol, Hannes Alfvens Vag 12, S-10691 Stockholm, Sweden..ORCID iD: 0000-0001-5236-0954
2022 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 8, article id 035Article in journal (Refereed) Published
Abstract [en]

Many gauge theories possess a hidden duality between color and kinematics in their on-shell scattering amplitudes. An open problem is to formulate an off-shell realization of the duality, thus manifesting a kinematic algebra. We show that 3D Chern-Simons (CS) theory in Lorenz gauge obeys off-shell color-kinematics duality. This holds both for the gauge field and the BRST ghosts, and the duality is manifest in the Feynman rules. A kinematic algebra can be formulated through a second-order differential operator (Poisson bracket) acting on the off-shell fields, and it corresponds to 3D volume-preserving diffeomorphisms, generated by functions in Lorenz gauge. We consider several admissible double-copy constructions of CS theory with Yang-Mills theory, a higher-derivative (DF)(2) gauge theory, or CS theory itself. To obtain non-vanishing amplitudes, we deform pure CS theory by including the maximum amount of adjoint matter that respects the on-shell duality. This gives a new formulation of an N = 4 CS-matter theory, with fields of unusual statistics. We argue that the color-stripped tree amplitudes of this theory are equivalent to those of the Gaiotto-Witten N = 4 CS theory with bi-fundamental matter. We further show that the double copy of the N = 4 CS theory with itself corresponds to maximally supersymmetric N = 8 Dirac-Born-Infeld theory.

Place, publisher, year, edition, pages
Springer Nature Springer Nature, 2022. no 8, article id 035
Keywords [en]
Scattering Amplitudes, Chern-Simons Theories
National Category
Subatomic Physics
Identifiers
URN: urn:nbn:se:uu:diva-482684DOI: 10.1007/JHEP08(2022)035ISI: 000836240700009OAI: oai:DiVA.org:uu-482684DiVA, id: diva2:1690985
Funder
Knut and Alice Wallenberg Foundation, KAW 2018.0116Knut and Alice Wallenberg Foundation, KAW 2018.0162Swedish Research Council, 621-2014-5722Swedish Research Council, 2018-05973Swedish National Infrastructure for Computing (SNIC), 2018-05973Available from: 2022-08-29 Created: 2022-08-29 Last updated: 2024-03-24Bibliographically approved
In thesis
1. Color-Kinematics Duality and Gravitational Waves
Open this publication in new window or tab >>Color-Kinematics Duality and Gravitational Waves
2024 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Recent developments in theoretical physics have led to new insights for gauge theory and gravity scattering amplitudes.The color-kinematics duality, in particular, describes an intriguing set of identities obeyed by the kinematic numerators of gauge-theory scattering amplitudes, mirroring the Jacobi identity of the color factors.  The kinematic Jacobi identities suggest the existence of some unknown kinematic algebra underlying the gauge-theory Feynman rules. However, as of yet, there is no complete Lagrangian construction of duality-satisfying numerators, nor an off-shell realization of a kinematic algebra even for pure Yang-Mills gauge theory. This thesis presents substantial progress on these open problems, first through a Lagrangian whose Feynman rules compute duality-satisfying numerators in the NMHV sector of Yang-Mills theory. In addition, Chern-Simons gauge theory is shown to obey the color-kinematics duality completely off shell, giving rise to a kinematic algebra of volume preserving diffeomorphisms. Similar structures are also identified in the pure-spinor description of super Yang-Mills theory.

The recent detection of gravitational waves by the LIGO/Virgo/KAGRA collaboration, as well as anticipated improvement in sensitivity of future detectors, call for improved precision of the theoretical predictions for binary merger events. Analytical computations involving gravitating and rotating compact objects require both increased classical loop orders in the gravitational coupling as well as the incorporation of spin effects, which have important contributions to the dynamics. For this purpose, an extension of the worldline quantum field theory is presented, based on the effective worldline action of a classical spinning compact object. The formalism is used to compute tree and one-loop amplitudes up to fourth order in spin, and coefficients in the effective worldline action are fixed such that it reproduces known Kerr observables from black hole perturbation theory.

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 2024. p. 68
Series
Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1651-6214 ; 2378
Keywords
Quantum field theory, gravitational waves, scattering amplitudes
National Category
Other Physics Topics
Research subject
Theoretical Philosophy
Identifiers
urn:nbn:se:uu:diva-525574 (URN)978-91-513-2078-6 (ISBN)
Public defence
2024-05-16, Häggsalen, Ångströmlaboratoriet, Lägerhyddsvägen 1, Uppsala, 13:00 (English)
Opponent
Supervisors
Available from: 2024-04-23 Created: 2024-03-24 Last updated: 2024-04-23

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Ben-Shahar, MaorJohansson, Henrik

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