Current Algebraic Structures over Manifolds: Poisson Algebras, q-Deformations and Quantization

Details Current Algebraic Structures over Manifolds: Poisson Algebras, q-Deformations and Quantization Current Algebraic Structures over Manifolds: Poisson Algebras, q-Deformations and Quantization

1996-03-17

arxiv.org/abs/hep-th/9603114v1

J.Geom.Phys. 27 (1998) 30-48

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, Latex

Scientific paper

10.1016/S0393-0440(97)00069-7

Poisson algebraic structures on current manifolds (of maps from a finite dimensional Riemannian manifold into a 2-dimensional manifold) are investigated in terms of symplectic geometry. It is shown that there is a one to one correspondence between such current manifolds and Poisson current algebras with three generators. A geometric meaning is given to q-deformations of current algebras. The geometric quantization of current algebras and quantum current algebraic maps is also studied.

Affiliated with

Also associated with

No associations

Rating

Current Algebraic Structures over Manifolds: Poisson Algebras, q-Deformations and Quantization 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 Current Algebraic Structures over Manifolds: Poisson Algebras, q-Deformations and Quantization, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Current Algebraic Structures over Manifolds: Poisson Algebras, q-Deformations and Quantization will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-604262