### 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 |

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### ASJC Scopus subject areas

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

### Cite this

*Modern Physics Letters A*,

*12*(21), 1517-1529.

**A linear realization for the new space-time superalgebras in 10 and 11 dimensions.** / Deriglazov, Alexei; Galajinsky, Anton.

Research output: Contribution to journal › Article

*Modern Physics Letters A*, vol. 12, no. 21, pp. 1517-1529.

}

TY - JOUR

T1 - A linear realization for the new space-time superalgebras in 10 and 11 dimensions

AU - Deriglazov, Alexei

AU - Galajinsky, Anton

PY - 1997/7/10

Y1 - 1997/7/10

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0348198395&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0348198395&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0348198395

VL - 12

SP - 1517

EP - 1529

JO - Modern Physics Letters A

JF - Modern Physics Letters A

SN - 0217-7323

IS - 21

ER -