2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/193641We 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.23 pages; v3: typos correctedHigh Energy Physics - TheoryThe Geometric Phase and Gravitational Precession of D-Branestext