Frontiers of Mathematics in China >
Classification of simple weight modules for super-Virasoro algebra with a finite-dimensional weight space
Received date: 08 May 2014
Accepted date: 09 Mar 2015
Published date: 24 Jun 2015
Copyright
There are two extensions of Virasoro algebra with particular importance in superstring theory: the Ramond algebra and the Neveu-Schwarz algebra, which are Z2-graded extensions of the Virasoro algebra. In this paper, we show that the support of a simple weight module over the Ramond algebra with an infinite-dimensional weight space coincides with the weight lattice and that all intersections of non-trivial weight spaces and odd part or even part of the module are infinite-dimensional. This result together with the one that we have obtained over the Neveu-Schwarz algebra generalizes the result for the Virasoro algebra to the super-Virasoro algebras.
Xiufu ZHANG . Classification of simple weight modules for super-Virasoro algebra with a finite-dimensional weight space[J]. Frontiers of Mathematics in China, 2015 , 10(5) : 1233 -1242 . DOI: 10.1007/s11464-015-0466-y
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