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3d gravity and quantum deformations: a Drinfel'd double approach

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Title:: 3d gravity and quantum deformations: a Drinfel'd double approach
Materia:: Álgebra; Algebra
Description:: Loops 11: Non-Perturbative / Background Independent Quantum Gravity 23–28 May 2011, Madrid, Spain; The constant curvature spacetimes of 3d gravity and their associated symmetry algebras are shown to arise from the 6d Drinfel'd double that underlies the two-parametric 'hybrid' quantum deformation of the fraktur sfraktur l(2, Script R) algebra. Moreover, the quantum deformation supplies the additional structures (star structure and pairing) that enter in the Chern-Simons formulation of the theory, thus establishing a direct link between quantum fraktur sfraktur l(2, Script R) algebras and 3d gravity models. In this approach the flat spacetimes and Newtonian models arise as Lie algebra contractions that are governed by two dimensionful fraktur sfraktur l(2, Script R) deformation parameters, which are directly related to the cosmological constant and to the speed of light.
Language:: en
Relation:: Journal of Physics: Conference Series, 2012, n. 360, 012010; http://iopscience.iop.org/1742-6596/360/1/012010
Autor/Productor:: Ballesteros, Ángel; Herranz Zorrilla, Francisco José; Meusburger, C. .
Publisher:: IOP Publishing
Rights:: Este documento está sujeto a una licencia de uso Creative Commons, por la cual está permitido hacer copia, distribuir, comunicar públicamente, remezclar, transformar y crear a partir del material para cualquier finalidad, incluso comercial, siempre que se cite al autor original, se proporcione un enlace a la licencia y se indique si se han realizado cambios; http://creativecommons.org/licenses/by/3.0/; info:eu-repo/semantics/openAccess
Date:: 2014-06-17T09:23:08Z; 2012
Type of resource:: Artículo; info:eu-repo/semantics/article; info:eu-repo/semantics/publishedVersion
Format:: application/pdf
Identifier:: 1742-6588; http://hdl.handle.net/10259.4/2559; 10.1088/1742-6596/360/1/012010

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