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Logarithmic exotic conformal Galilean algebras

Henkel, M ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1016/j.nuclphysb.2013.12.009
  3. Abstract:
  4. 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. This is the first concrete example of a reducible, but non-decomposable representation, without logarithmic terms. Such cases had been anticipated before
  5. Keywords:
  7. Source: Nuclear Physics B ; Vol. 879, issue. 1 , 2014 , pp. 292-317 ; ISSN: 05503213
  8. URL: http://www.sciencedirect.com/science/article/pii/S0550321313005981