Octonionic particles and the S(7) symmetry
19926 pages
Published in:
- J.Math.Phys. 33 (1992) 388-393
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Abstract: (AIP)
A manifestly Lorentzcovariant quantization scheme for (super) particles in ten dimensions is given, using octonionic twistor variables, also applying to D=3, 4, and 6. The field‐dependent gauge algebra for the twistor variables is (a superextension of) the seven‐sphere. A BRS treatment of this symmetry is performed. Comments are made on conformal invariance and the topology of twistor space.- particle: relativistic
- dimension: 3
- dimension: 4
- dimension: 6
- dimension: 10
- quantization
- invariance: Lorentz
- twistor
- algebra: octonion
- invariance: conformal
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