Generalized Kaehler geometry from supersymmetry
2006 (English)Conference paper (Refereed)
We review the physical derivation of generalized Kähler geometry of [A. Bredthauer, et. al., Lett. Math. Phys. 77 (2006) 291 [ hep-th/0603130 ]]. The relation between supersymmetry and complex geometry has long been known. In particular, for a two-dimensional sigma model with N = ( 2 , 2 ) worldsheet supersymmetry, the target space is bi-hermitian. Recent developments in mathematics shed new light on this topic. Here, we rederive and explain the results of Gualtieri regarding the equivalence between generalized Kähler and bi-hermitian geometry from the sigma model point of view and show how this relation is obtained by considering the Lagrangian and the Hamiltonian formulation of the sigma model.
Place, publisher, year, edition, pages
, Nuclear Physics B - Proceedings Supplements, Volume 171, September 2007, ISSN 0920-5632
Research subject Theoretical Physics
IdentifiersURN: urn:nbn:se:uu:diva-287794DOI: 10.1016/j.nuclphysbps.2007.06.021OAI: oai:DiVA.org:uu-287794DiVA: diva2:923470
International Conference on Strings and Branes: The present paradigm for gauge interactions and cosmology (Cargèse School on String Theory) — Cargèse 2006