On possible generalization of the superstring action to eleven dimensions

Details On possible generalization of the superstring action to eleven dimensions On possible generalization of the superstring action to eleven dimensions

1997-06-23

arxiv.org/abs/hep-th/9706152v2

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, RevTex file, to be published in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.58.046005

We suggest a D=11 super Poincar\'e invariant action for the superstring which has free dynamics in the physical variables sector. Instead of the standard approach based on the searching for an action with local $\kappa$-symmetry (or, equivalently, with corresponding first class constraints), we propose a theory with fermionic constraints of second class only. Then the $\kappa$-symmetry and the well known $\Gamma$-matrix identities are not necessary for the construction. Thus, at the classical level, the superstring action of the type described can exist in any spacetime dimensions and the known brane-scan can be revisited.

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