Articles dans des revues à comité de lecture
|Logarithmic Exotic Conformal Galilean Algebras|
|Henkel M., Hosseiny A., Rouhani S.|
|Nucl. Phys. B879 (2014) 292-317|
|DOI : 10.1016/j.nuclphysb.2013.12.009|
|ArXiv : arxiv:1311.3457 [PDF]|
Logarithmic representations of the conformal Galilean algebra (CGA) and the Exotic Conformal Galilean algebra (ECGA) are constructed. This can be achieved by non-decomposable representations of the scaling dimensions or the rapidity indices, specific to conformal galilean algebras. Logarithmic representations of the non-exotic CGA lead to the expected constraints on scaling dimensions and rapidities and also on the logarithmic contributions in the co-variant two-point functions. On the other hand, the ECGA admits several distinct situations which are distinguished by different sets of constraints and distinct scaling forms of the two-point functions. Two distinct realisations for the spatial rotations are identified as well.