海森堡群与共形场论
The Heisenberg group and conformal field theory
摘要：
给出了紧致环面的共形场论（CFT）的一种数学构造，也称为“非线性西格玛模型”或“格点CFT”。这种方法的CFT是一个酉模函子，它的建设如下从“量化与减少交换”型定理的酉量化的模空间的全纯环面丛和行动的循环群。这个定理反过来是在仿射辛流形及其相关的广义海森堡群范畴中的一般构造的结果。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
