کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1851914 1528880 2010 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Three-dimensional gravity and Drinfel'd doubles: Spacetimes and symmetries from quantum deformations
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک هسته ای و انرژی بالا
پیش نمایش صفحه اول مقاله
Three-dimensional gravity and Drinfel'd doubles: Spacetimes and symmetries from quantum deformations
چکیده انگلیسی
We show how the constant curvature spacetimes of 3d gravity and the associated symmetry algebras can be derived from a single quantum deformation of the 3d Lorentz algebra sl(2,R). We investigate the classical Drinfel'd double of a “hybrid” deformation of sl(2,R) that depends on two parameters (η,z). With an appropriate choice of basis and real structure, this Drinfel'd double agrees with the 3d anti-de Sitter algebra. The deformation parameter η is related to the cosmological constant, while z is identified with the inverse of the speed of light and defines the signature of the metric. We generalise this result to de Sitter space, the three-sphere and 3d hyperbolic space through analytic continuation in η and z; we also investigate the limits of vanishing η and z, which yield the flat spacetimes (Minkowski and Euclidean spaces) and Newtonian models, respectively.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters B - Volume 687, Issues 4–5, 19 April 2010, Pages 375-381
نویسندگان
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