A brief review of supersymmetric non-linear sigma models and generalized complex geometry

Ulf Lindström

Archivum Mathematicum (2006)

  • Volume: 042, Issue: 5, page 307-318
  • ISSN: 0044-8753

Abstract

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This is a review of the relation between supersymmetric non-linear sigma models and target space geometry. In particular, we report on the derivation of generalized Kähler geometry from sigma models with additional spinorial superfields. Some of the results reviewed are: Generalized complex geometry from sigma models in the Lagrangian formulation; Coordinatization of generalized Kähler geometry in terms of chiral, twisted chiral and semi-chiral superfields; Generalized Kähler geometry from sigma models in the Hamiltonian formulation.

How to cite

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Lindström, Ulf. "A brief review of supersymmetric non-linear sigma models and generalized complex geometry." Archivum Mathematicum 042.5 (2006): 307-318. <http://eudml.org/doc/249819>.

@article{Lindström2006,
abstract = {This is a review of the relation between supersymmetric non-linear sigma models and target space geometry. In particular, we report on the derivation of generalized Kähler geometry from sigma models with additional spinorial superfields. Some of the results reviewed are: Generalized complex geometry from sigma models in the Lagrangian formulation; Coordinatization of generalized Kähler geometry in terms of chiral, twisted chiral and semi-chiral superfields; Generalized Kähler geometry from sigma models in the Hamiltonian formulation.},
author = {Lindström, Ulf},
journal = {Archivum Mathematicum},
keywords = {sigma model; generalized Kähler geometry; generalized complex geometry; superfield},
language = {eng},
number = {5},
pages = {307-318},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {A brief review of supersymmetric non-linear sigma models and generalized complex geometry},
url = {http://eudml.org/doc/249819},
volume = {042},
year = {2006},
}

TY - JOUR
AU - Lindström, Ulf
TI - A brief review of supersymmetric non-linear sigma models and generalized complex geometry
JO - Archivum Mathematicum
PY - 2006
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 042
IS - 5
SP - 307
EP - 318
AB - This is a review of the relation between supersymmetric non-linear sigma models and target space geometry. In particular, we report on the derivation of generalized Kähler geometry from sigma models with additional spinorial superfields. Some of the results reviewed are: Generalized complex geometry from sigma models in the Lagrangian formulation; Coordinatization of generalized Kähler geometry in terms of chiral, twisted chiral and semi-chiral superfields; Generalized Kähler geometry from sigma models in the Hamiltonian formulation.
LA - eng
KW - sigma model; generalized Kähler geometry; generalized complex geometry; superfield
UR - http://eudml.org/doc/249819
ER -

References

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