Nonabelian Berry Phase, Yang-Mills Instanton and USp(2k) Matrix Model

Abstract

The nonabelian Berry phase is computed in the T dualized quantum mechanics obtained from the USp(2k) matrix model. Integrating the fermions, we find that each of the spacetime points X_ν^{(i)} is equipped with a pair of su(2) Lie algebra valued pointlike singularities located at a distance m_{(f)} from the orientifold surface. On a four dimensional paraboloid embedded in the five dimensional Euclidean space, these singularities are recognized as the BPST instantons.

arXiv comment8 pages, Latex, some comments on our result added

References in corpus (10)

• Dirichlet-Branes and Ramond-Ramond Charges
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• Small Instantons in String Theory
• F-theory and Orientifolds
• D-brane field theory on compact spaces
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Cited by in corpus (10)

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• Nonabelian Monopoles from Matrices: Seeds of the Spacetime Structure
• Non-Abelian Self-Dual String Solutions
• The Geometric Phase and Gravitational Precession of D-Branes
• Dynamical Compactification and Inflation in Einstein-Yang-Mills Theory with Higher Derivative Coupling
• Matrix Orientifolding and Models with Four or Eight Supercharges
• Partition Functions of Reduced Matrix Models with Classical Gauge Groups
• Finite Energy Monopoles in Non-Abelian Gauge Theories on Odd-dimensional Spaces
• Orientifolded Matrices and Supersymmetries that Give Rise to Spacetime Directional Asymmetry of Effective Interactions