arXiv subjects

H. Bennacer

Publications and source records attributed to H. Bennacer.

2 recordsLinked to original sources

arXiv2003

Poincare algebra and space-time critical dimensions for parabosonic strings

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.

hep-th↗

arXiv2002

Poincaré algebra and space-time critical dimensions for paraspinning strings

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 $[p^μ,p^ν]$ commutator, the two other commutators of Poincaré 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.

hep-th↗