- The Heisenberg group and conformal field theory
- The Quarterly Journal of Mathematics
- Volume | Issue number
- 63 | 2
- Pages (from-to)
- Document type
- Faculty of Science (FNWI)
- Korteweg-de Vries Institute for Mathematics (KdVI)
A mathematical construction of the conformal field theory (CFT) associated to a compact torus, also called the ‘non-linear 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.
- go to publisher's site
If you believe that digital publication of certain material infringes any of your rights or (privacy) interests, please let the Library know, stating your reasons. In case of a legitimate complaint, the Library will make the material inaccessible and/or remove it from the website. Please Ask the Library, or send a letter to: Library of the University of Amsterdam, Secretariat, Singel 425, 1012 WP Amsterdam, The Netherlands. You will be contacted as soon as possible.