Supergroup Extensions: From Central Charges to Quantization Through Relativistic Wave Equations

Aldaya, Victor; de Azcarraga, Jose A.

doi:10.1016/0370-2693(83)91380-1

Supergroup Extensions: From Central Charges to Quantization Through Relativistic Wave Equations

Victor Aldaya
(
- Valencia U.
)
,
Jose A. de Azcarraga
(
- ICTP, Trieste
)

Jul, 1982

4 pages

Published in:

Phys.Lett.B 121 (1983) 331-334

Published: 1983

DOI:

10.1016/0370-2693(83)91380-1

Report number:

IC/82/93

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Abstract: (Elsevier)

In this paper we give the finite group law of a family of supergroups including the U(1)-extended N = 2 super-Poincaré group. From this family of supergroups, and by means of a canonical procedure, we are able to derive the Klein-Gordon and Dirac equations for the fields contained in the superfield. In the process, the physical content of the central charge as the mass parameter and the role of covariant derivatives are shown to come out canonically from the group structure, and the U(1)-extended supersymmetry is seen to be necessary for the geometric quantization of the relativistic elementary systems.

SUPERSYMMETRY
CHARGE
QUANTIZATION: GEOMETRICAL
QUANTUM MECHANICS: RELATIVISTIC
INVARIANCE: LORENTZ
Klein-Gordon equation
Dirac equation
SYMMETRY: U(1)
GROUP THEORY

References(10)

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