A generalized positive energy theorem for spaces with asymptotic SUSY compactification |
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| Affiliation: | 1. Faculty of Mathematics and Natural Sciences, Cardinal Stefan Wyszyński University, Warszawa, Poland;2. Scuola Internazionale Superiore di Studi Avanzati, Trieste, Italy;3. Institute of Mathematics, The Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Warsaw, Poland;1. Institut für Mathematik, Goethe-Universität Frankfurt, Robert-Mayer-Str. 10, 60054 Frankfurt, Germany;2. Department of Mathematics, University of Valencia, calle Dr. Moliner 50, 46100 Burjassot, Valencia, Spain |
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| Abstract: | In this short note, we prove a generalized positive energy theorem for spaces with asymptotic SUSY compactification involving non-symmetric data. This work is motivated by the work of Dai [A positive mass theorem for spaces with asymptotic SUSY compactification, Comm. Math. Phys. 244 (2004) 335–345; A note on positive energy theorem for spaces with asymptotic SUSY compactification, 2004. arXiv:math-ph/0406006], Hertog–Horowitz–Maeda [Negative energy density in Calabi–Yau compactifications, JHEP 0305 (2003) 060], and Zhang [Angular momentum and positive mass theorem, Comm. Math. Phys. 206 (1999) 137–155]. |
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