Star Product Formula of Theta Functions |
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| Authors: | Hiroshige Kajiura |
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| Institution: | (1) Yukawa Institute for Theoretical Physcics, Kyoto University, Kyoto 606-8502, Japan |
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| Abstract: | As a noncommutative generalization of the addition formula of theta functions, we construct a class of theta functions which
are closed with respect to the Moyal star product of a fixed noncommutative parameter. These theta functions can be regarded
as bases of the space of holomorphic homomorphisms between holomorphic line bundles over noncommutative complex tori. |
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| Keywords: | noncommutative torus theta function |
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