On q deformed supersymmetric classical mechanical models

Colatto, L.P.; Matheus-Valle, J.L.

doi:10.1063/1.531767

On q deformed supersymmetric classical mechanical models

L.P. Colatto
(
- Rio de Janeiro, CBPF
)
,
J.L. Matheus-Valle
(
- Rio de Janeiro, CBPF and
- Juiz de Fora U.
)

Jan, 1994

10 pages

Published in:

J.Math.Phys. 37 (1996) 6121-6129

e-Print:

hep-th/9504101 [hep-th]

DOI:

10.1063/1.531767

Report number:

CBPF-NF-008-94

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Abstract:

Based on the idea of quantum groups and paragrassmann variables, we present a generalization of supersymmetric classical mechanics with a deformation parameter

q= \exp{\frac{2 \pi i}{k}}

and we work with the

k =3

case. The coordinates of the

q

-superspace are a commuting parameter

t

and a paragrassmann variable

\theta

, where

\theta~3 = 0

. The generator and covariant derivative are obtained, as well as the action for some possible superfields.

mechanics: classical
supersymmetry: superfield
supersymmetry: superspace
algebra: Grassmann
algebra: deformation

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