Poincare algebra and space-time critical dimensions for parabosonic strings

Details Poincare algebra and space-time critical dimensions for parabosonic strings Poincare algebra and space-time critical dimensions for parabosonic strings

2002-10-20

arxiv.org/abs/hep-th/0210191v2

Czech.J.Phys. 53 (2003) 769-783

Physics

High Energy Physics

High Energy Physics - Theory

Latex,16 pages; v2 : published version, with numbering of formulas and conclusion corrected

Scientific paper

10.1023/A:1025970432658

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 Poincar\'{e} 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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