Kahler quantization of H*(T2,R) and modular forms

被引：0
|
作者：
Loran, Farhang [1 ]
机构：
[1] Isfahan Univ Technol, Dept Phys, Esfahan 8415683111, Iran
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2007年 / 48卷 / 11期
关键词：
D O I：
10.1063/1.2815816
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Kahler quantization of H-1(T-2,R) is studied. It is shown that this theory corresponds to a fermionic sigma model targeting a noncommutative space. By solving the complex-structure moduli independence conditions, the quantum background independent wave function is obtained. We study the transformation of the wave function under modular transformation. It is shown that the transformation rule is characteristic to the operator ordering. Similar results are obtained for Kahler quantization of H-2(T-2,R). (c) 2007 American Institute of Physics.
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页数：7
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