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Oscillator Construction of Spectra of PP-Wave Superalgebras in Eleven Dimensions

S. Fernando·M. Gunaydin·S. Hyun
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Abstract

After reviewing the oscillator realization of the symmetry superalgebra of the BMN matrix model on its maximally supersymmetric plane-wave background and the construction of its zero-mode spectrum, we study a large number of non-maximally supersymmetric pp-wave algebras in eleven dimensions which are obtained by various restrictions from the maximally supersymmetric case (BMN model). We also show how to obtain their zero-mode spectra, which we explicitly construct in some chosen examples. Except for some `exotic' or degenerate special cases, we believe our study covers all possible interesting pp-wave superalgebras of this kind in eleven dimensions.

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S. Fernando, M. Gunaydin, S. Hyun. 2004-11-30. Oscillator Construction of Spectra of PP-Wave Superalgebras in Eleven Dimensions. https://doi.org/10.1016/j.nuclphysb.2005.02.026

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