68 research outputs found
Extended supersymmetry of semichiral sigma model in 4D
Briefly: Using a novel superspace formulation of semichiral sigma
models with target space, we investigate if an extended supersymmetry in
terms of semichirals is compatible with having a target space with
torsion.
In more detail: Semichiral sigma models have supersymmetry and
Generalized K\"ahler target space geometry by construction. They can also
support supersymmetry and Generalized Hyperk\"ahler geometry, but when
the target space is four dimensional indications are that the geometry is
restricted to Hyperk\"ahler. To investigate this further, we reduce the model
to superspace and construct the extra (on-shell) supersymmetries there.
We then find the conditions for a lift to super space and semichiral
fields to exist. Those conditions are shown to hold for Hyperk\"ahler
geometries. The WZW model, which has supersymmetry
and a semichiral description, is also investigated. The additional
supersymmetries are found in superspace but shown {\em not} to be
liftable to a semichiral formulation.Comment: 23 pages. Resubmitted after compilation problem
Generalized 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 , where
is the tangent bundle of the target space. This is motivated by possible
connections to Hitchin's generalized complex structures. We find the general
form of the second supersymmetry compatible with that of the original model.Comment: 13 pages, Latex Minor corrections to agree with published versio
Complex Geometry and Supersymmetry
I stress how the form of sigma models with (2, 2) supersymmetry differs
depending on the number of manifest supersymmetries. The differences correspond
to different aspects/formulations of Generalized K\"ahler Geometry.Comment: 9 pages, Proceedings of the Corfu Summer Institute 2011 School and
Workshops on Elementary Particle Physics and Gravity September 4-18, 2011
Corfu, Greec
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