Flat connections from flat gerbes

Abstract

We discuss some aspects of heterotic-Type I duality. We focus on toroidal compactification, with special attention for the topology of the gauge group, and the topology of the bundle. We review the arguments leading to a classification of Spin(32)/Z2-bundles over tori, suitable for string compactifications. A central role is played by n-gerbes with connection, a generalization of bundles with connection.

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