Conformal invariance, N extended supersymmetry and massless spinning particles in anti-de Sitter space

Kuzenko, S.M.; Yarevskaya, Zh.V

doi:10.1142/S0217732396001648

Conformal invariance, N extended supersymmetry and massless spinning particles in anti-de Sitter space

S.M. Kuzenko
(
- Hannover U.
)
,
Zh.V Yarevskaya
(
- St. Petersburg, SPSUEF
)

Dec, 1995

13 pages

Published in:

Mod.Phys.Lett.A 11 (1996) 1653-1664

e-Print:

hep-th/9512115 [hep-th]

DOI:

10.1142/S0217732396001648

Report number:

ITP-UH-29-95

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Abstract:

Starting with a manifestly conformal (

O(d,2)

invariant) mechanics model in

d

space and 2 time dimensions, we derive the action for a massless spinning particle in

d

-dimensional anti-de Sitter space. The action obtained possesses both gauge

N

-extended worldline supersymmetry and local

O(N)

invarince. Thus we improve the old statement by Howe et al. that the spinning particle model with extended worldline supersymmetry admits only flat space-time background for

N > 2

(spin greater one). The original

(d+2)

-dimensional model is characterized by rather unusual property that the corresponding supersymmetry transformations do not commute with the conformal ones, in spite of the explicit

O(d,2)

invariance of the action.

Note:

13 pages, LaTeX

space-time: de Sitter
mechanics: classical
spin
supersymmetry
invariance: conformal

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Figures(0)

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