Geometric phase and gravitational precession of D-branes

2007/09/30 by Chris Pedder, Julian Sonner, David Tong · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Brane cosmology #Connection (principal bundle) #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #Geometric phase #Geometry #Gravitation #Holonomy #Magnetic monopole #Mathematical physics #Physics #Precession #Quantum electrodynamics #Quantum mechanics #Spin connection #hep-th

paper · pdf · doi:10.1103/physrevd.76.126014

published as Phys.Rev.D76:126014,2007 · 23 pages; v3: typos corrected

openalex publication_date 2007/12/28 · arxiv created 2008/02/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 R⁵, 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.

Citations

• SU(2)non-Abelian holonomy and dissipationless spin current in semiconductors
• Construction of instantons
• Appearance of Gauge Structure in Simple Dynamical Systems
• D-branes and short distances in string theory
• Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase
• Quantal phase factors accompanying adiabatic changes

Cited by

• Geometric phase in supersymmetric quantum mechanics