Two-loop statsum of superstrings |
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| Institution: | 1. Triticeae Research Institute, Sichuan Agricultural University, Wenjiang, Chengdu, Sichuan, 611130, PR China;2. Key Laboratory of Crop Germplasm Resources Utilization in Southwest China, Ministry of Agriculture, Sichuan Agricultural University, Ya''an, Sichuan, 625014, PR China;3. College of Agronomy, Sichuan Agricultural University, Wenjiang, Chengdu, Sichuan, 611130, PR China;1. Faculty of Commerce, Chuo University, 742-1 Higashinakano, Hachioji-shi, Tokyo 192-0393, Japan;2. Research Institute of Economy, Trade, and Industry (RIETI), 1-3-1, Kasumigaseki, Chiyoda-ku, Tokyo 100-8901, Japan;3. Research Project Center, Graduate School of Economics, Kyoto University, Yoshida-honmachi, Sakyo-ku, Kyoto 606–8501, Japan;1. The Swire Institute of Marine Science and School of Biological Sciences, The University of Hong Kong, Pokfulam, Hong Kong, China;2. State Key Laboratory in Marine Pollution, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong, China;3. Department of Biology, Hong Kong Baptist University, Waterloo Road, Kowloon, Hong Kong, China;1. College of Forestry, Northwest A&F University, Yangling, Shaanxi, China;2. Shandong Institute of Pomology, Tai’an, Shandong, China;1. School of Biology and Basic Medical Sciences, Soochow University, 199, Renai Road, Suzhou, Jiangsu 215123, PR China;2. Department of Biology & School of Interdisciplinary Informatics, University of Nebraska at Omaha, Omaha, NE 68182-0040, United States |
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| Abstract: | We discuss, whether there is a choice of odd moduli on super-Riemann surfaces of genus p≳2, which leads to the vanishing of statistical sums of superstrings before integration over the space of even moduli. The answer is shown to be positive at least for p=2, when odd moduli are localized at ramification points. The relation between various definitions of many-loop statistical sums in superstring theory is discussed. |
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