تقرير
Curved momentum spaces from quantum groups with cosmological constant
| العنوان: | Curved momentum spaces from quantum groups with cosmological constant |
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| المؤلفون: | Ballesteros, A., Gubitosi, G., Gutierrez-Sagredo, I., Herranz, F. J. |
| المصدر: | Physics Letters B 773 (2017) pp. 47-53 |
| سنة النشر: | 2017 |
| المجموعة: | Mathematics General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics |
| مصطلحات موضوعية: | High Energy Physics - Theory, General Relativity and Quantum Cosmology, Mathematical Physics |
| الوصف: | We bring the concept that quantum symmetries describe theories with nontrivial momentum space properties one step further, looking at quantum symmetries of spacetime in presence of a nonvanishing cosmological constant $\Lambda$. In particular, the momentum space associated to the $\kappa$-deformation of the de Sitter algebra in (1+1) and (2+1) dimensions is explicitly constructed as a dual Poisson-Lie group manifold parametrized by $\Lambda$. Such momentum space includes both the momenta associated to spacetime translations and the `hyperbolic' momenta associated to boost transformations, and has the geometry of (half of) a de Sitter manifold. Known results for the momentum space of the $\kappa$-Poincar\'e algebra are smoothly recovered in the limit $\Lambda\to 0$, where hyperbolic momenta decouple from translational momenta. The approach here presented is general and can be applied to other quantum deformations of kinematical symmetries, including (3+1)-dimensional ones. Comment: 13 pages |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.physletb.2017.08.008 |
| URL الوصول: | http://arxiv.org/abs/1707.09600 |
| رقم الأكسشن: | edsarx.1707.09600 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.physletb.2017.08.008 |
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