Kähler quantization of H∗(T2,R) and modular forms

نویسنده

  • Farhang Loran
چکیده

Kähler quantization of H(T,R) is studied. It is shown that this theory corresponds to a fermionic σ-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 Kähler quantization of H(T,R).

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تاریخ انتشار 2006