科研之友
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摘要
The semisimple part of d-dimensional Galilean conformal algebra g((d)) is given by h((d)) = O(2,1) circle plus O(d), which after adding via a semidirect sum the 3d-dimensional Abelian algebra t((d)) of translations, Galilean boosts, and constant accelerations completes the construction. We obtain Galilean superconformal algebra G((d)) by first defining the semisimple superalgebra H((d)) which supersymmetrizes h((d)), and further by considering the expansion of H((d)) by tensorial and spinorial graded Abelian charges in order to supersymmetrize the Abelian generators of t((d)). For d = 3 the supersymmetrization of h((3)) is linked with a specific model of N = 4 extended superconformal mechanics, which is described by the superalgebra D(2, 1; alpha) if alpha = 1. We shall also present the alternative derivations of extended Galilean superconformal algebras for 1 <= d <= 5 by employing the Inonu-Wigner contraction method.
- 出版日期2011-9-1
