Abstract
We derive gradient and energy estimates for critical points of the full supersymmetric sigma model and discuss several applications.
Highlights
Introduction and ResultsThe full nonlinear supersymmetric σ -model is an important model in modern quantum field theory
In the physical literature [7, 18] it is usually formulated in terms of supergeometry, which includes the use of Grassmann-valued spinors
To analyze the full nonlinear supersymmetric σ -model one has to go beyond the notion of Dirac-harmonic maps
Summary
The full nonlinear supersymmetric σ -model is an important model in modern quantum field theory. Taking ordinary instead of Grassmann-valued spinors one can investigate the full nonlinear supersymmetric σ -model as a geometric variational problem. This study was initiated in [10], where the notion of Dirac-harmonic maps was introduced. These form a pair of a map between Riemannian manifolds and a vector spinor. The equations for Dirac-harmonic maps couple the harmonic map equation to spinor fields. To analyze the full nonlinear supersymmetric σ -model one has to go beyond the notion of Dirac-harmonic maps.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
