On the existence of star products on quotient spaces of linear Hamiltonian torus actions

Details On the existence of star products on quotient spaces of linear Hamiltonian torus actions On the existence of star products on quotient spaces of linear Hamiltonian torus actions

2008-11-13

arxiv.org/abs/0811.2152v1

Mathematics

Quantum Algebra

9 pages, 4 figures, uses psfrag

Scientific paper

We discuss BFV deformation quantization of singular symplectic quotient spaces in the special case of linear Hamiltonian torus actions. In particular, we show that the Koszul complex on the moment map of an effective linear Hamiltonian torus action is acyclic. We rephrase the nonpositivity condition of Arms, Gotay and Jennings for linear Hamiltonian torus actions. It follows that reduced spaces of such actions admit continuous star products.

Affiliated with

Also associated with

No associations

Rating

On the existence of star products on quotient spaces of linear Hamiltonian torus actions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the existence of star products on quotient spaces of linear Hamiltonian torus actions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the existence of star products on quotient spaces of linear Hamiltonian torus actions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-436171