Geodesics on Calabi-Yau manifolds and winding states in nonlinear sigma models
We conjecture that a non-flat D-real-dimensional compact Calabi-Yau manifold, such as a quintic hypersurface with D=6, or a K3 manifold with D=4, has locally length minimizing closed geodesics, and that the number of these with length less than L grows asymptotically as L^{D}. We also outline the ph...
Автори: | , |
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Формат: | Стаття |
Мова: | English |
Опубліковано: |
Frontiers Media S.A.
2013-12-01
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Серія: | Frontiers in Physics |
Предмети: | |
Онлайн доступ: | http://journal.frontiersin.org/Journal/10.3389/fphy.2013.00026/full |