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arXiv · 0709.2136

The Geometric Phase and Gravitational Precession of D-Branes

Chris Pedder·Julian Sonner·David Tong
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Abstract

We study Berry's phase in the D0-D4-brane system. When a D0-brane moves in the background of D4-branes, the first excited states undergo a holonomy described by a non-Abelian Berry connection. At weak coupling this is an SU(2) connection over R^5, known as the Yang monopole. At strong coupling, the holonomy is recast as the classical gravitational precession of a spinning particle. The Berry connection is the spin connection of the near-horizon limit of the D4-branes, which is a continuous deformation of the Yang and anti-Yang monopole.

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Chris Pedder, Julian Sonner, David Tong. 2008-02-05. The Geometric Phase and Gravitational Precession of D-Branes. https://doi.org/10.1103/physrevd.76.126014

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