2005/07/31 by Cezary Gonera, C. Gonera, Piotr Kosiński +5 · 2 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Geometry #Homogeneous space #Infinitesimal #Linguistics #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Philosophy #Physics #Pure mathematics #Quantum Mechanics and Applications #Quantum mechanics #Space (punctuation) #Spacetime #Theoretical physics #hep-th
paper · pdf · doi:10.1103/physrevd.72.067702
published as Phys.Rev. D72 (2005) 067702 · 7 pages, no figures; minor changes in the bibliography; final version accepted for publication in Phys. Rev.D
arxiv created 2005/08/24 · openalex publication_date 2005/09/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The global counterpart of infinitesimal symmetries of noncommutative spacetime is discussed. supported by the grant 1 P03B 02 128 of the Polish Ministry of Science. 1 Some atttention has been paid recently to the problem of space-time symmetries for noncommutative field theories (NCFT), [1]÷[9]. It is fairly obvious that the full Poincare symmetry, if understood in the traditional way, cannot survive the ”quantization” procedure consisting in replacing the commuting coordinates by the ones obeying [x µ, x ν] = iΘ µν (1) On the contrary, only the semidirect product of the stability subgroup of Θ µν and the translations remains. However, when discussing the properties of NCFT one has often refer to the whole Poincare group. It has been suggested [1], [2], that the noncommutative space-time carries as rich symmetry as the Poincare one provided this