Green-Schwarz type formulation of D=11 S - invariant superstring and superparticle actions

Abstract

A manifestly Poincare invariant formulations for $SO(1,10)$ and SO(2,9) superstring actions are proposed. The actions are invariant under a local fermionic $\kappa$-symmetry as well as under a number of global symmetries, which turn out to be on-shell realization of the known ``new supersymmetry`` S-algebra. Canonical quantization of the theory is performed and relation of the quantum state spectrum with that of type IIA Green-Schwarz superstring is discussed. Besides, a mechanical model is constructed, which is a zero tension limit of the D=11 superstring and which incorporates all essential features of the latter. A corresponding action invariant under off-shell closed realization of the S-algebra is obtained.

Revised version, in particular, discussion of SO(2,9) case is included. To be published in Int. J. Mod. Phys. A

References in corpus (11)

• Covariant Action for the Super-Five-Brane of M-Theory
• Covariant Action for a D=11 Five-Brane with the Chiral Field
• Duality and the Signature of Space-Time
• Supermembranes with Winding
• Superstrings with new supersymmetry in (9,2) and (10,2) dimensions
• Superparticles in D>11
• Canonical Equivalence between Super D-string and Type IIB Superstring
• A linear realization for the new space-time superalgebras in ten and eleven dimensions
• A Problem with the Superstring Action of Deriglazov and Galajinsky
• A Covariant Action for the Eleven Dimensional Superstring
• On possible generalization of the superstring action to eleven dimensions

Cited by in corpus (3)

• Supplementation of reducible constraints and the Green-Schwarz superstring
• Bosonic sector of D=11 superstring action and the critical dimension. Toy model
• String action with multiplet of $\Theta$-terms and the hidden Poincare symmetry