Wess-Zumino Term for the AdS Superstring and Generalized Inonu-Wigner Contraction

Abstract

We examine a Wess-Zumino term, written in bilinear of superinvariant currents, for a superstring in anti-de Sitter (AdS) space. The standard Inönü-Wigner contraction does not give the correct flat limit but gives zero. This originates from the fact that the fermionic metric of the super-Poincaré group is degenerate. We propose a generalization of the Inönü-Wigner contraction which reduces the super-AdS group to the "nondegenerate" super-Poincaré group, therefore it gives a correct flat limit of this Wess-Zumino term. We also discuss the M-algebra obtained by this generalized Inönü -Wigner contraction from osp(1|32).

Wess-Zumino term for AdS superstring

“…We thank a referee for clarifying the point "Are B and B [2] same or not?" to improve our previous paper [10].…”

Expanding Lie (super)algebras through Abelian semigroups

“…The purpose of this paper is to shed new light on the method of expansion of Lie algebras (for a thorough treatment, see the seminal work [1] and references therein; early work on the subject is found in [2]). An Expansion is, in general, an algebra dimension-changing process.…”

Expansions of Algebras and Superalgebras and Some Applications

“…Under a different name, Lie algebra expansions were first used in [14], and then the method was studied in general in [15] (see also [16]). The idea is to perform a rescaling by a parameter λ of some of the group coordinates g i , i = 1, .…”

“…See [14,15,16,45,46,47,48,49,50] for other possible applications of the expansion method. We are interested here in the underlying gauge symmetry of D = 11 Cremmer-JuliaScherk (CJS) supergravity [6] as a way of understanding the symmetry structure of Mtheory, the low energy limit of which is D=11 supergravity.…”