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

Abstract

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.

Original language	English
Pages (from-to)	2769-2790
Number of pages	22
Journal	International Journal of Modern Physics A
Volume	14
Issue number	17
DOIs	https://doi.org/10.1142/S0217751X9900138X
Publication status	Published - 10 Jul 1999

Keywords

D = 11 superstring
Higher-dimensional superalgebras

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Nuclear and High Energy Physics
Astronomy and Astrophysics

Access to Document

10.1142/S0217751X9900138X

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T1 - The Green-Schwarz type formulation of D = 11 S-invariant superstring and superparticle actions

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AU - Gitman, D. M.

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N2 - 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.

AB - 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.

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KW - Higher-dimensional superalgebras

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