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- W2053886809 abstract "A class of infinite dimensional Galilean conformal algebra in (2+1) dimensional spacetime is studied. Each member of the class, denoted by alg_{ell}, is labelled by the parameter ell. The parameter ell takes a spin value, i.e., 1/2, 1, 3/2, .... We give a classification of all possible central extensions of alg_{ell}. Then we consider the highest weight Verma modules over alg_{ell} with the central extensions. For integer ell we give an explicit formula of Kac determinant. It results immediately that the Verma modules are irreducible for nonvanishing highest weights. It is also shown that the Verma modules are reducible for vanishing highest weights. For half-integer ell it is shown that all the Verma module is reducible. These results are independent of the central charges." @default.
- W2053886809 created "2016-06-24" @default.
- W2053886809 creator A5030756609 @default.
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- W2053886809 date "2011-12-03" @default.
- W2053886809 modified "2023-10-18" @default.
- W2053886809 title "Galilean conformal algebras in two spatial dimension" @default.
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- W2053886809 doi "https://doi.org/10.48550/arxiv.1112.0634" @default.
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