Poincare algebra and space-time critical dimensions for parabosonic strings

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.

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