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Noncommutative spacetime realized in Ad Sn+1 space: Nonlocal field theory out of noncommutative spacetime

2014
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Progress of Theoretical and Experimental Physics
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In κ-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 κ^-1, which is a universal constant other than the light velocity under the κ-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)

doi:10.1093/ptep/ptu022
fatcat:vuncpifprvgmfc62pfo4lvthl4