New spacetime superalgebras and their KAC-Moody extension Academic Article

abstract

• We present new spacetime algebras whose existence is due to special -matrix identied which are also necessary for the existence of super p-branes. They contain a pth-rank antisymmetric tensor, and a (p-1-rank) antisymmetric tensor-spinor generator. Furthermore the translations do not commute with the supercharge. In the case of supermembranes, we find a super-Ka-Moody extension of the new spacetime algebra. We give a realization of the algebra in terms of operators in d=11 superspace, and find a connection with the d=11 supermembrane action which leads to an elegant supergeometric formulation. By double dimensional reduction, we obtain a Ka-Moody algebra for the Type IIA Green-Schwarz superstring. We also discuss the generalization of these results, including the construction of generalized super-Virasoro algebras, for super p-branes. 1989.

authors

• Sezgin, Ergin

published proceedings

• Physics Letters B

author list (cited authors)

• Bergshoeff, E., & Sezgin, E.

citation count

• 27

complete list of authors

• Bergshoeff, Eric||Sezgin, Ergin

publication date

• November 1989

publisher

• Elsevier  Publisher

published in

• Physics Letters B  Journal

keywords

• 49 Mathematical Sciences
• 4902 Mathematical Physics
• 4904 Pure Mathematics
• 51 Physical Sciences
• 5107 Particle And High Energy Physics

Digital Object Identifier (DOI)

• 10.1016/0370-2693(89)90564-9

start page

• 96

end page

• 103

volume

• 232

issue

• 1

URL

• http://dx.doi.org/10.1016/0370-2693(89)90564-9