Poincaré algebra and space-time critical dimensions for paraspinning strings

Abstract

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 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.

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

References in corpus (3)

• Central Charge Reduction and Spacetime Statistics in the Fractional Superstring
• The Worldsheet Conformal Field Theory of the Fractional Superstring
• Poincare algebra and space-time critical dimensions for parabosonic strings