The Heisenberg group and conformal field theory
| Authors | |
|---|---|
| Publication date | 2012 |
| Journal | The Quarterly Journal of Mathematics |
| Volume | Issue number | 63 | 2 |
| Pages (from-to) | 423-465 |
| Organisations |
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| Abstract |
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. |
| Document type | Article |
| Language | English |
| Published at |
https://doi.org/10.1093/qmath/haq052
(Final published version)
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