On the sympletic geometry of the super Teichmüller space |
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Authors: | Shozo Uehara Yukinori Yasui |
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Institution: | (1) Uji Research Center, Yukawa Institute for Theoretical Physics, Kyoto University, 611 Uji, Japan;(2) Department of Physics, Osaka City University, 558 Symiyoshi, Osaka, Japan |
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Abstract: | The geometry of the Teichmüller space of the super Riemann surfaces is examined. The Weil-Petersson Kähler form is calculated in terms of the super coordinate functions which provide local coordinates for the super Teichmüller space. It is shown that the Kähler form on the super Teichmüller space is closed.Work partially supported by Grant-in-Aid for Scientific Research of the Ministry of Education, Science and Culture No. 02302020Work partially supported by Grant-in-Aid for Scientific Research of the Ministry of Educations, Science and Culture No. 02740145 |
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