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arXiv · 0706.4262

The Heisenberg group and conformal field theory

Hessel Posthuma
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Abstract

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.

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Hessel Posthuma. 2011-05-24. The Heisenberg group and conformal field theory. https://arxiv.org/abs/0706.4262

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