Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-06-28
Physics
High Energy Physics
High Energy Physics - Theory
24 pages, LaTex, the algebraic structure is given with more details, a special attention is paid on the level of the associati
Scientific paper
Supersymmetry can be consistently generalized in one and two dimensional spaces, fractional supersymmetry being one of the possible extension. 2D fractional supersymmetry of arbitrary order $F$ is explicitly constructed using an adapted superspace formalism. This symmetry connects the fractional spin states ($0,{1 \over F}, ...,{F-1 \over F}$). Besides the stress momentum tensor, we obtain a conserved current of spin($1 + {1 \over F})$. The coherence of the theory imposes strong constraints upon the commutation relations of the modes of the fields. The creation and annihilation operators turn out to generate alternative statistics, currently referred as quons in the literature. We consider, with a special attention, the consistence of the algebra, on the level of the Hilbert space and the Green functions. The central charges are generally irrational numbers except for the particular cases $F=2,3,4$. A natural classification emerges according to the decomposition of $F$ into its product of prime numbers leading to sub-systems with smaller symmetries.
de Traubenberg Michel Rausch
Simon Pascal
No associations
LandOfFree
$2D-$ Fractional Supersymmetry and Conformal Field Theory for alternative statistics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with $2D-$ Fractional Supersymmetry and Conformal Field Theory for alternative statistics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and $2D-$ Fractional Supersymmetry and Conformal Field Theory for alternative statistics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-150437