Tuesday, January 1, 2013

1212.6489 (Benoit Dherin et al.)

Quantizations of Momentum Maps and G-Systems    [PDF]

Benoit Dherin, Igor Mencattini
In this note, we give an explicit formula for a family of deformation quantizations for the momentum map associated with the cotangent lift of a Lie group action on Rd. This family of quantizations is parametrized by the formal G-systems introduced by the authors in a previous paper and allows us to obtain classical invariant Hamiltonians that quantize without anomalies with respect to the quantizations of the action prescribed by the formal G-systems.
View original: http://arxiv.org/abs/1212.6489

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