Fractional superspace formulation of generalized superVirasoro algebras

Durand, Stephane

doi:10.1142/S0217732392002275

Fractional superspace formulation of generalized superVirasoro algebras

Stephane Durand
(
- McGill U.
)

May, 1992

9 pages

Published in:

Mod.Phys.Lett.A 7 (1992) 2905-2912

e-Print:

hep-th/9205086 [hep-th]

DOI:

10.1142/S0217732392002275

Report number:

MCGILL-92-30-REV,
MCGILL-92-30

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Abstract:

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.

Note:

Revised version

algebra: Virasoro
supersymmetry: superspace
fractional
algebra: representation
algebra: oscillator
algebra: deformation

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Figures(0)

ParaGrassmann analysis and quantum groups

- Mod.Phys.Lett.A 7 (1992) 2129-2142
•
e-Print:
- hep-th/9204089
•
DOI:
- 10.1142/S0217732392001877