Linear differential equations for a fractional spin field

Cortes, J.L.; Plyushchay, M.S.

doi:10.1063/1.530727

Linear differential equations for a fractional spin field

J.L. Cortes
(
- Zaragoza U.
)
,
M.S. Plyushchay
(
- Zaragoza U.
)

Nov, 1992

14 pages

Published in:

J.Math.Phys. 35 (1994) 6049-6057

e-Print:

hep-th/9405193 [hep-th]

DOI:

10.1063/1.530727

Report number:

DFTUZ-92-24-REV,
DFTUZ-92-24

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Abstract:

The vector system of linear differential equations for a field with arbitrary fractional spin is proposed using infinite-dimensional half-bounded unitary representations of the

\overline{SL(2,R)}

group. In the case of

(2j+1)

-dimensional nonunitary representations of that group,

0<2j\in Z

, they are transformed into equations for spin-

j

fields. A local gauge symmetry associated to the vector system of equations is identified and the simplest gauge invariant field action, leading to these equations, is constructed.

Note:

Revised version

anyon
spin: fractional
field equations: solution
group theory: representation
symmetry: SL(2,R)
gauge field theory: action
dimension: 3

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