The Heisenberg group and conformal field theory

Details The Heisenberg group and conformal field theory The Heisenberg group and conformal field theory

2007-06-28

arxiv.org/abs/0706.4262v3

Physics

Mathematical Physics

45 pages, some parts have been rewritten. Version to appear in Quart. J. Math

Scientific paper

A mathematical construction of the conformal field theory (CFT) associated to a compact torus, also called the "nonlinear Sigma-model" or "lattice-CFT", is given. Underlying this approach to CFT is a unitary modular functor, the construction of which follows from a "Quantization commutes with reduction"- type of theorem for unitary quantizations of the moduli spaces of holomorphic torus-bundles and actions of loop groups. This theorem in turn is a consequence of general constructions in the category of affine symplectic manifolds and their associated generalized Heisenberg groups.

Affiliated with

Also associated with

No associations

Rating

The Heisenberg group and conformal field theory 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 The Heisenberg group and conformal field theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Heisenberg group and conformal field theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-457059