Lectures on Generalized Complex Geometry and Supersymmetry

Details Lectures on Generalized Complex Geometry and Supersymmetry Lectures on Generalized Complex Geometry and Supersymmetry

2006-05-15

arxiv.org/abs/hep-th/0605148v4

Archivum mathematicum (supplement) 42:119-146, 2006

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, the lecture notes from the Winter School "Geometry and Physics", January 14-21, 2006, Srni, Czech Republic

Scientific paper

These are the lecture notes from the 26th Winter School "Geometry and Physics", Czech Republic, Srni, January 14 - 21, 2006. These lectures are an introduction into the realm of generalized geometry based on the tangent plus the cotangent bundle. In particular we discuss the relation of this geometry to physics, namely to two-dimensional field theories. We explain in detail the relation between generalized complex geometry and supersymmetry. We briefly review the generalized Kahler and generalized Calabi-Yau manifolds and explain their appearance in physics.

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