Generalized Complex Geometry and Supersymmetric Non-linear Sigma Models Talk at Simons Workshop 2004
نویسندگان
چکیده
After an elementary presentation of the relation between supersymmetric nonlinear sigma models and geometry, I focus on 2D and the target space geometry allowed when there is an extra supersymmetry. This leads to a brief introduction to generalized complex geometry, a notion introduced recently by Hitchin which interpolates between complex and symplectic manifolds. Finally I present worldsheet realizations of this geometry,
منابع مشابه
Generalized complex geometry and supersymmetric non - linear sigma models
After an elementary presentation of the relation between supersymmetric nonlinear sigma models and geometry, I focus on 2D and the target space geometry allowed when there is an extra supersymmetry. This leads to a brief introduction to generalized complex geometry, a notion introduced recently by Hitchin which interpolates between complex and symplectic manifolds. Finally I present worldsheet ...
متن کاملA brief review of supersymmetric non-linear sigma models and generalized complex geometry
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...
متن کاملNon-anti-commutative Deformation of Complex Geometry
In this talk I review the well known relation existing between extended supersymmetry and complex geometry in the non-linear sigma-models, and then briefly discuss some recent developments related to the introduction of the nonanti-commutativity in the context of the supersymmetric non-linear sigma-models formulated in extended superspace. This contribution is suitable for both physicists and m...
متن کاملGeneralized Complex Geometry and the Poisson Sigma Model
The supersymmetric Poisson Sigma model is studied as a possible worldsheet realization of generalized complex geometry. Generalized complex structures alone do not guarantee non-manifest N = (2, 1) or N = (2, 2) supersymmetry, but a certain relation among the different Poisson structures is needed. Moreover, important relations of an additional almost complex structure are found, which have no ...
متن کاملGeneralized N=(2,2) Supersymmetric Non-linear Sigma Models
We rewrite the N = (2, 2) non-linear sigma model using auxiliary spinorial superfields defining the model on T ⊕∗ T , where T is the tangent bundle of the target space M. This is motivated by possible connections to Hitchin’s generalized complex structures. We find the general form of the second supersymmetry compatible with the known one for the original model. e-mail address: ulf.lindstrom@te...
متن کامل