FROM GEOMETRIC-QUANTIZATION TO CONFORMAL FIELD-THEORY
FROM GEOMETRIC-QUANTIZATION TO CONFORMAL FIELD-THEORY
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DOI：
10.1007/bf02097053
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发表时间：
1990-01-01
影响因子：
2.4
通讯作者：
SHATASHVILI, S
中科院分区：
文献类型：
--
作者：
ALEKSEEV, A;SHATASHVILI, S
从几何量子化的角度研究了二维共形场理论。我们量化了紧Lie群、Virasoro群和Kac-Moody群的所谓模型空间。特别是，我们给出了Virasoro离散序列的几何解释，并解释了这种类型的几何量化再现了CFT的手性部分（最小模型，2d重力，WZNW理论）。在附录中，我们讨论了经典（常数）r-矩阵与这种几何方法之间的关系。
Investigation of 2dconformal field theory in terms of geometric quantization is given. We quantize the so-called model space of the compact Lie group, Virasoro group and Kac-Moody group. In particular, we give a geometrical interpretation of the Virasoro discrete series and explain that this type of geometric quantization reproduces the chiral part of CFT (minimal models, 2d-gravity, WZNW theory). In the appendix we discuss the relation between classical (constant)r-matrices and this geometrical approach.