Calabi-Yau manifolds with $B$-fields

Details Calabi-Yau manifolds with $B$-fields Calabi-Yau manifolds with $B$-fields

2009-08-13

arxiv.org/abs/0908.1941v2

Rend.Sem.Mat.Univ.Politec.Torino.66:1-21,2008

Mathematics

Differential Geometry

19 pages

Scientific paper

In recent work N. Hitchin introduced the concept of "generalised geometry". The key feature of generalised structures is that that they can be acted on by both diffeomorphisms and 2-forms, the so-called $B$-fields. In this lecture, we give a basic introduction and explain some of the fundamental ideas. Further, we discuss some examples of generalised geometries starting from the usual notion of a Calabi-Yau manifold, as well as applications to string theory.

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