Berry Phase and Supersymmetry

Abstract

We study the constraints of supersymmetry on the non-Abelian holonomy given by U=P exp(i\int A), the path-ordered exponential of a connection A. For theories with four supercharges, we show that A satisfies the tt* equations if it is a function of chiral multiplets. In contrast, when A is a function of vector multiplets, it satisfies the Bogomolnyi monopole equations. We describe applications of these results to the Berry connection in supersymmetric quantum mechanics.

10 pages. v2 and v3: typos fixed

References in corpus (5)

• Phases Of N=2 Theories In 1+1 Dimensions With Boundary
• The Geometric Phase in Supersymmetric Quantum Mechanics
• Non-Abelian Berry Phases and BPS Monopoles
• The Geometric Phase and Gravitational Precession of D-Branes
• Black Hole Berry Phase

Cited by in corpus (2)

• The Geometric Phase in Supersymmetric Quantum Mechanics
• Non-Abelian Berry Phases and BPS Monopoles