Almost product manifolds as the low energy geometry of Dirichlet branes

  • Frederic P. Schuller
Young Scientists


Any candidate theory of quantum gravity must address the breakdown of the classical smooth manifold picture of space-time at distances comparable to the Planck length. String theory, in contrast, is formulated on conventional space-time. However, we show that in the low energy limit, the dynamics of generally curved Dirichlet p-branes possess an extended local isometry group, which can be absorbed into the brane geometry as an almost product structure. The induced kinematics encode two invariant scales, namely a minimal length and a maximal speed, without breaking general covariance. Quantum gravity effects on D-branes at low energy are then seen to manifest themselves by the kinematical effects of a maximal acceleration. Experimental and theoretical implications of such new kinematics are easily derived. We comment on consequences for brane world phenomenology.


Manifold Quantum Gravity Invariant Scale Smooth Manifold Isometry Group 
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Copyright information

© Springer-Verlag, Società Italiana di Fisica 2004

Authors and Affiliations

  • Frederic P. Schuller
    • 1
  1. 1.Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 0WA, United Kingdom, and, Perimeter Institute for Theoretical Physics, Waterloo N2J 2W9Canada

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