Handbook of Pseudo-Riemannian Geometry and Supersymmetry

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pp: 185–208

DOI: 10.4171/079-1/6

Generalized geometry – an introduction

Nigel Hitchin[1]

(1) University of Oxford, United Kingdom

“Generalized geometry” is an approach to differential geometric structures which seems remarkably well-adapted to some of the concepts in String Theory and Supergravity, for example: 3-form flux, gauged sigma-models, D-branes, connections with skew torsion. It also incorporates in a natural way the role of the B-field as a symmetry. Here we shall offer an introduction to this geometry and a few of its applications, showing how in particular some relatively old results in the physics literature acquire a natural meaning within this new setting.

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