Poincare algebra and space-time critical dimensions for parabosonic strings

N. Belaloui; H. Bennacer

doi:10.1023/a:1025970432658

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arXiv · hep-th/0210191

Poincare algebra and space-time critical dimensions for parabosonic strings

N. Belaloui·H. Bennacer

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Abstract

We construct the parabosonic string formalism based on the paraquantization of both the center of mass variables and the excitation modes of the string. A critical study of the different commutators of the Poincaré algebra based on the redefinition of its generators and the direct treatment using trilinear relations is done. Space-time critical dimensions $D$ as functions of the paraquantization order $Q$ are obtained.

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N. Belaloui, H. Bennacer. 2003-10-30. Poincare algebra and space-time critical dimensions for parabosonic strings. https://doi.org/10.1023/a%3A1025970432658

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