Gravitational anomaly cancellation type I superstring theory |
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| Institution: | 1. State Key Laboratory of Crystal Materials, Shandong University, 250100 Jinan, Shandong, PR China;2. State Key Laboratory of Heavy Oil Processing & Center for Bioengineering and Biotechnology, China University of Petroleum (East China), 266580 Qingdao, PR China;1. Department of Urology, Weill Cornell Medical College, New York Presbyterian Hospital, New York, NY, USA;2. Department of Healthcare Policy and Research, Weill Cornell Medical College, New York Presbyterian Hospital, New York, NY, USA;3. Department of Urology, Ludwig-Maximilians-University (LMU), Munich, Germany;4. Department of Surgery (Urology), The University of Sydney, Wahroonga, NSW, Australia |
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| Abstract: | By explicit calculations we show that the gravitational anomaly of type I superstring theory vanishes at the string level. There are contributions from four topologically different diagrams to the anomaly: annulus, Möbius strip, torus, and Klein bottle. We explicitly show how the non-trivial cancellation occurs between the open (annulus and Möbius strip) and closed (Klein bottle) sectors. The anomaly of the torus diagram has the same form of type II superstring theory and vanishes because of the modular invariance. |
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