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- W3100761462 abstract "In $kappa$-Minkowski spacetime, the coordinates are Lie algebraic elements such that time and space coordinates do not commute, whereas space coordinates commute each other. The non-commutativity is proportional to a Planck-length-scale constant $kappa^{-1}$, which is a universal constant other than the light velocity under the $kappa$-Poincare transformation. In this sense, the spacetime has a structure called as Doubly Special Relativity. Such a noncommutative structure is known to be realized by SO(1,4) generators in 4-dimensional de Sitter space. In this paper, we try to construct a nonommutative spacetime having commutative n-dimensional Minkowski spacetime based on $AdS_{n+1}$ space with SO(2,n) symmetry. We also study an invariant wave equation corresponding to the first Casimir invariant of this symmetry as a non-local field equation expected to yield finite loop amplitudes." @default.
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- W3100761462 date "2013-11-06" @default.
- W3100761462 modified "2023-09-23" @default.
- W3100761462 title "Noncommutative Spacetime Realized in $AdS_{n+1}$ Space" @default.
- W3100761462 hasPublicationYear "2013" @default.
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