Fractional Superspace Formulation of Generalized Super-Virasoro Algebras

Details Fractional Superspace Formulation of Generalized Super-Virasoro Algebras Fractional Superspace Formulation of Generalized Super-Virasoro Algebras

1992-05-26

arxiv.org/abs/hep-th/9205086v2

Mod.Phys.Lett. A7 (1992) 2905-2912

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, McGill/92-30 (small corrections and elimination of the parameter "alpha")

Scientific paper

10.1142/S0217732392002275

We present a fractional superspace formulation of the centerless parasuper-Viraso-ro and fractional super-Virasoro algebras. These are two different generalizations of the ordinary super-Virasoro algebra generated by the infinitesimal diffeomorphisms of the superline. We work on the fractional superline parametrized by $t$ and $\theta$, with $t$ a real coordinate and $\theta$ a paragrassmann variable of order $M$ and canonical dimension $1/F$. We further describe a more general structure labelled by $M$ and $F$ with $M\geq F$. The case $F=2$ corresponds to the parasuper-Virasoro algebra of order $M$, while the case $F=M$ leads to the fractional super-Virasoro algebra of order $F$. The ordinary super-Virasoro algebra is recovered at $F=M=2$. The connection with $q$-oscillator algebras is discussed.

Affiliated with

Also associated with

No associations

Rating

Fractional Superspace Formulation of Generalized Super-Virasoro Algebras 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 Fractional Superspace Formulation of Generalized Super-Virasoro Algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fractional Superspace Formulation of Generalized Super-Virasoro Algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-246903