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Off-shell color-kinematics duality for Chern-Simons
Uppsala Univ, Dept Phys & Astron, Box 516, S-75120 Uppsala, Sweden..
Nordita SU; Uppsala Univ, Dept Phys & Astron, Box 516, S-75120 Uppsala, 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 , 2022. no 8, article id 035
Keywords [en]
Scattering Amplitudes, Chern-Simons Theories
National Category
Subatomic Physics Other Physics Topics Accelerator Physics and Instrumentation
Identifiers
URN: urn:nbn:se:kth:diva-316734DOI: 10.1007/JHEP08(2022)035ISI: 000836240700009Scopus ID: 2-s2.0-85135472511OAI: oai:DiVA.org:kth-316734DiVA, id: diva2:1691370
Note

QC 20241003

Available from: 2022-08-30 Created: 2022-08-30 Last updated: 2024-10-03Bibliographically approved

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