Stability at a local maximum in higher dimensional anti-deSitter space and applications to supergravity |
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| Authors: | L Mezincescu P K Townsend |
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| Institution: | 1. Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, Camino de Vera S/N, 46022 Valencia, Spain;2. Faculty of Information Technology, Czech Technical University in Prague, Thákurova 9, 160 00, Prague 6, Czech Republic;3. LAMA, Univ Gustave Eiffel, UPEM, Univ Paris Est Creteil, CNRS, F-77447, Marne-la-Vallée, France;4. Laboratoire de Mathématiques de Besançon, Université Bourgogne Franche-Comté, CNRS UMR-6623, 16, route de Gray, 25030 Besançon Cedex, France;1. College of Mathematics and Information Science, Guangxi University, Nanning 530004, PR China;2. School of Mathematics, Xiamen University, Xiamen 361000, PR China;3. Faculty of Applied Mathematics, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Kraków, Poland;4. Department of Mathematics, University of Craiova, Street A.I. Cuza No. 13, 200585 Craiova, Romania;5. ‘Simion Stoilow’ Institute of Mathematics of the Romanian Academy, Calea Griviţei No. 21, 010702 Bucharest, Romania;1. Clean Combustion Engine Laboratory, Department of Mechanical, Automotive and Material Engineering, University of Windsor, Ontario, Canada;2. State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai, China;1. Department of Chemistry and Biochemistry, National Institute of Technology, Fukushima College, 30 Nagao, Iwaki, Fukushima 970-8034, Japan;2. Department of Applied Biological Chemistry, Faculty of Agriculture, Shizuoka University, 836 Ohya, Suruga-ku, Shizuoka 422-8529, Japan;3. Bioproduction Research Institute, National Institute of Advanced Industrial Science and Technology (AIST), 17-2-1 Higashi-Nijo, Tsukisamu, Toyohira-ku, Sapporo, Hokkaido 062-8517, Japan;4. Integrated Bioscience Research Division, Graduate School of Science and Technology, Shizuoka University, 836 Ohya, Suruga-ku, Shizuoka 422-8529, Japan;5. Research Institute of Green Science and Technology, Shizuoka University, 836 Ohya, Suruga-ku, Shizuoka 422-8529, Japan;1. Beijing Neurosurgical Institute, Capital Medical University, Beijing, China;2. Shanxi Provincial People''s Hospital, Taiyuan, Shanxi, China;3. Neurosurgical Department, Beijing Tian Tan Hospital, Beijing, China |
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| Abstract: | The stability of anti-deSitter background solutions of gravity/scalar systems with respect to small fluetuations of the scalar fields is analyzed. As in the four dimensional case, one finds stability even about a local maximum provided that the effective scalar field masses are not “too tachyonic,” and for sufficiently low mass there are two possible boundary conditions that allow a well-defined and conserved energy. Unlike the d = 4 case only one boundary condition is applicable to the known gauged supergravity theories in d = 5 and d = 7. For d = 7 the stability criterion is satisfied while for d = 5 stability is marginal. |
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