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  Enhancement of hidden symmetries and Chern-Simons couplings

Henneaux, M., Kleinschmidt, A., & Lekeu, V. (2016). Enhancement of hidden symmetries and Chern-Simons couplings. Romanian Journal of Physics, 61(1-2), 167-182. Retrieved from http://arxiv.org/abs/1505.07355.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0027-83A1-C Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-7D3D-A
Genre: Journal Article

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 Creators:
Henneaux, Marc, Author
Kleinschmidt, Axel1, Author              
Lekeu, Victor, Author
Affiliations:
1Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: We study the role of Chern--Simons couplings for the appearance of enhanced symmetries of Cremmer--Julia type in various theories. It is shown explicitly that for generic values of the Chern--Simons coupling there is only a parabolic Lie subgroup of symmetries after reduction to three space-time dimensions but that this parabolic Lie group gets enhanced to the full and larger Cremmer--Julia Lie group of hidden symmetries if the coupling takes a specific value. This is heralded by an enhanced isotropy group of the metric on the scalar manifold. Examples of this phenomenon are discussed as well as the relation to supersymmetry. Our results are also connected with rigidity theorems of Borel-like algebras.

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 Dates: 2015-05-272016
 Publication Status: Published in print
 Pages: To appear in the Proceedings of the 9th Workshop and School on "Quantum Field Theory and Hamiltonian Systems", 24-28 September 2014, Sinaia, Romania
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 Identifiers: arXiv: 1505.07355
URI: http://arxiv.org/abs/1505.07355
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Title: Romanian Journal of Physics
Source Genre: Journal
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Pages: - Volume / Issue: 61 (1-2) Sequence Number: - Start / End Page: 167 - 182 Identifier: -