Noncommutative geometry, symmetries and quantum structure of space-time

Noncommutative geometry, symmetries and quantum structure of space-time

We discuss how space-time noncommutativity affects the symmetry groups and particle statistics. Assuming that statistics is superselected under a symmetry transformation, we argue that the corresponding flip operator must be twisted. It is argued that the twisted statistics naturally leads to a defo...

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Veröffentlicht in:Journal of physics. Conference series 2011-01, Vol.306 (1), p.12019-7
Hauptverfasser: Govindarajan, T R, Gupta, Kumar S, Harikumar, E, Meljanac, S
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Operators (mathematics)
Oscillators
Particles (of physics)
Physics
Quantum phenomena
Scalars
Spacetime
Statistics
Symmetry
Transformations (mathematics)
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Zusammenfassung:We discuss how space-time noncommutativity affects the symmetry groups and particle statistics. Assuming that statistics is superselected under a symmetry transformation, we argue that the corresponding flip operator must be twisted. It is argued that the twisted statistics naturally leads to a deformed oscillator algebra for scalar fields in such a background.
ISSN:1742-6596
1742-6588
1742-6596
DOI:10.1088/1742-6596/306/1/012019