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

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
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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title = "A linear realization for the new space-time superalgebras in 10 and 11 dimensions",

abstract = "The new extensions of the Poincar{\'e} 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.",

author = "Alexei Deriglazov and Anton Galajinsky",

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language = "English",

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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.

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

Abstract

ASJC Scopus subject areas

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