The Geometric Phase and Gravitational Precession of D-Branes

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.

23 pages; v3: typos corrected

References in corpus (4)

• SU(2) Non-Abelian Holonomy and Dissipationless Spin Current in Semiconductors
• The Geometric Phase in Supersymmetric Quantum Mechanics
• Instantons and Emergent AdS_3 x S^3 Geometry
• Anyonic strings and membranes in AdS space and dual Aharonov-Bohm effects

Cited by in corpus (9)

• The chiral ring of AdS3/CFT2 and the attractor mechanism
• Hopf Maps, Lowest Landau Level, and Fuzzy Spheres
• The Geometric Phase in Supersymmetric Quantum Mechanics
• Berry Phase and Supersymmetry
• Non-Abelian Berry Phases and BPS Monopoles
• Black Hole Berry Phase
• Tunneling D0-branes
• Orientifolded Matrices and Supersymmetries that Give Rise to Spacetime Directional Asymmetry of Effective Interactions
• Connection Constraints from Non-Abelian Supersymmetric Quantum Mechanics