Poincaré algebra and space-time critical dimensions for paraspinning strings

Details Poincaré algebra and space-time critical dimensions for paraspinning strings Poincaré algebra and space-time critical dimensions for paraspinning strings

2002-10-27

arxiv.org/abs/hep-th/0210255v2

Czech.J.Phys. 54 (2004) 621-632

Physics

High Energy Physics

High Energy Physics - Theory

Latex,12 pages ; v2:Numbering of some formulas corrected

Scientific paper

In this paper, we paraquantize the spinning string theory in the Neuveu-Shwarz model. Both the center of mass variables and the excitation modes of the string verify paracommutation relations. Except the $[p^{\mu},p^{\nu}]$ commutator, the two other commutators of Poincar\'e algebra are satisfied. With the sole use of trilinear relations we find existence possibilities of spinning strings at space-time dimensions other than D=10.

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