Star products on generalised complex manifolds

Details Star products on generalised complex manifolds Star products on generalised complex manifolds

2006-12-18

arxiv.org/abs/hep-th/0612186v2

Int.J.Geom.Meth.Mod.Phys.4:1231-1238,2007

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, refs added

Scientific paper

10.1142/S0219887807002533

We regard classical phase space as a generalised complex manifold and analyse the B-transformation properties of the *-product of functions. The C*-algebra of smooth functions transforms in the expected way, while the C*-algebra of holomorphic functions (when it exists) transforms nontrivially. The B-transformed *-product encodes all the properties of phase-space quantum mechanics in the presence of a background magnetic field.

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