Supersymmetry breaking in noncommutative quantum mechanics

Details Supersymmetry breaking in noncommutative quantum mechanics Supersymmetry breaking in noncommutative quantum mechanics

2008-12-17

arxiv.org/abs/0812.3289v2

J.Phys.A42:165206,2009

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1088/1751-8113/42/16/165206

Supersymmetric quantum mechanics is formulated on a two dimensional noncommutative plane and applied to the supersymmetric harmonic oscillator. We find that the ordinary commutative supersymmetry is partially broken and only half of the number of supercharges are conserved. It is argued that this breaking is closely related to the breaking of time reversal symmetry arising from noncommutativity.

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