Lectures on generalized complex geometry and supersymmetry

Maxim Zabzine

Archivum Mathematicum (2006)

  • Volume: 042, Issue: 5, page 119-146
  • ISSN: 0044-8753

Abstract

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These are the lecture notes from the 26th Winter School “Geometry and Physics", Czech Republic, Srní, 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 Kähler and generalized Calabi-Yau manifolds and explain their appearance in physics.

How to cite

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Zabzine, Maxim. "Lectures on generalized complex geometry and supersymmetry." Archivum Mathematicum 042.5 (2006): 119-146. <http://eudml.org/doc/249822>.

@article{Zabzine2006,
abstract = {These are the lecture notes from the 26th Winter School “Geometry and Physics", Czech Republic, Srní, 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 Kähler and generalized Calabi-Yau manifolds and explain their appearance in physics.},
author = {Zabzine, Maxim},
journal = {Archivum Mathematicum},
keywords = {Lie algebroid; Dirac structure; generalized complex structure; Hamiltonian formalism},
language = {eng},
number = {5},
pages = {119-146},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Lectures on generalized complex geometry and supersymmetry},
url = {http://eudml.org/doc/249822},
volume = {042},
year = {2006},
}

TY - JOUR
AU - Zabzine, Maxim
TI - Lectures on generalized complex geometry and supersymmetry
JO - Archivum Mathematicum
PY - 2006
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 042
IS - 5
SP - 119
EP - 146
AB - These are the lecture notes from the 26th Winter School “Geometry and Physics", Czech Republic, Srní, 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 Kähler and generalized Calabi-Yau manifolds and explain their appearance in physics.
LA - eng
KW - Lie algebroid; Dirac structure; generalized complex structure; Hamiltonian formalism
UR - http://eudml.org/doc/249822
ER -

References

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