### Abstract

The new extensions of the Poincaré superalgebra found recently in 10 and 11 dimensions are shown to admit a linear realization. The generators of the nonlinear and linear group transformations are shown to fall into equivalent representations of the superalgebra. The parametrization of the coset space G/H, with G a given extended supergroup and H the Lorentz subgroup, that corresponds to the linear transformations is presented.

Original language | English |
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Pages (from-to) | 1517-1529 |

Number of pages | 13 |

Journal | Modern Physics Letters A |

Volume | 12 |

Issue number | 21 |

Publication status | Published - 10 Jul 1997 |

### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Statistical and Nonlinear Physics

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## Cite this

Deriglazov, A., & Galajinsky, A. (1997). A linear realization for the new space-time superalgebras in 10 and 11 dimensions.

*Modern Physics Letters A*,*12*(21), 1517-1529.