N=4 l-conformal Galilei superalgebra

Abstract

An N=4 supersymmetric extension of the l-conformal Galilei algebra is constructed. This is achieved by combining generators of spatial symmetries from the l-conformal Galilei algebra and those underlying the most general superconformal group in one dimension D(2,1;a). The value of the group parameter a is fixed from the requirement that the resulting superalgebra is finite-dimensional. The analysis reveals a=-1/2 thus reducing D(2,1;a) to OSp(4|2).

arXiv commentV3:11 pages. Two misprints in the introduction corrected. The version to appear in PLB

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Cited by in corpus (5)

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• N=4 l-conformal Galilei superalgebras inspired by D(2,1;a) supermultiplets
• Superfield approach to higher derivative N=1 superconformal mechanics
• Three-dimensional non-relativistic Hietarinta supergravity
• N=1,2,3 l-conformal Galilei superalgebras