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Twisted conformal algebra related to κ-Minkowski space (CROSBI ID 222993)

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Meljanac, Stjepan ; Pachol, Anna ; Pikutić, Danijel Twisted conformal algebra related to κ-Minkowski space // Physical review. D, Particles, fields, gravitation, and cosmology, 92 (2015), 105015-1-105015-9. doi: 10.1103/PhysRevD.92.105015

Podaci o odgovornosti

Meljanac, Stjepan ; Pachol, Anna ; Pikutić, Danijel

engleski

Twisted conformal algebra related to κ-Minkowski space

Twisted deformations of the conformal symmetry in the Hopf algebraic framework are constructed. The first one is obtained by a Jordanian twist built up from dilatation and momenta generators. The second is the light-like κ-deformation of the Poincare algebra extended to the conformal algebra, obtained by a twist corresponding to the extended Jordanian r-matrix. The κ-Minkowski spacetime is covariant quantum space under both of these deformations. The extension of the conformal algebra by the noncommutative coordinates is presented in two cases. The differential realizations for κ-Minkowski coordinates, as well as their left-right dual counterparts, are also included.

twist; conformal algebra; k-Minkowski

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Podaci o izdanju

92

2015.

105015-1-105015-9

objavljeno

1550-7998

10.1103/PhysRevD.92.105015

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Fizika

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