Berry's Connection and USp(2k) Matrix Model

TL;DR

This paper computes Berry's connection in the USp(2k) matrix model, revealing a residual interaction interpreted as a D-brane coupling, and discusses its relation to gauge anomaly cancellation in six dimensions.

Contribution

It provides the first computation of Berry's connection in the USp(2k) matrix model and links it to D-brane interactions and gauge anomaly considerations.

Findings

Residual interaction at a distance m_f from the orientifold surface

Coupling of magnetic D2 with electric D4 branes via Berry phase

Gauge anomaly cancellation requires n_f=16 flavors

Abstract

Berry's connection is computed in the USp(2k) matrix model. In T dualized quantum mechanics, the Berry phase exhibits a residual interaction taking place at a distance m_(f) from the orientifold surface via the integration of the fermions in the fundamental representation. This is interpreted as a coupling of the magnetic D2 with the electric D4 branes. We make a comment on the Berry phase associated with the 6D nonabelian gauge anomaly whose cancellation selects the number of flavours n_f=16.