Fractional superspace formulation of generalized super-Virasoro algebras

Journal Article · Sat Oct 10 04:00:00 EDT 1992 · Modern Physics Letters A; (Singapore)

DOI:https://doi.org/10.1142/S0217732392002275· OSTI ID:7174512

Durand, S ^[1]

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1. McGill Univ., Montreal, PQ (Canada). Dept. of Physics

This paper presents a fractional superspace formulation of the centerless parasuper-Virasoro and fractional super-Virasoro algebras. These are two different generalizations of the ordinary super-Virasoro algebra generated by the infinitesimal diffeomorphisms of the superline. The authors 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 labeled by M and F with M [ge] 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.

• OSTI ID: 7174512
• Journal Information: Modern Physics Letters A; (Singapore), Journal Name: Modern Physics Letters A; (Singapore) Vol. 7:31; ISSN 0217-7323; ISSN MPLAEQ
• Country of Publication: United States
• Language: English

Related Subjects

661100 -- Classical & Quantum Mechanics-- (1992-)
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71 CLASSICAL AND QUANTUM MECHANICS
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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
CANONICAL DIMENSION
COORDINATES
MATHEMATICAL SPACE
MATHEMATICS
SCALE DIMENSION
SPACE
SUPERSYMMETRY
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