The manifestly Poincaré-invariant formulations for SO(1, 10) and SO(2, 9) superstring actions are proposed. The actions are invariant under a local fermionic κ-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 the 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.
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
- Nuclear and High Energy Physics
- Astronomy and Astrophysics