Abstract
Abstract We introduce an N = 8 supersymmetric extension of the Bogomolny-type model for Yang–Mills–Higgs fields in 2 + 1 dimensions related with twistor string theory. It is shown that this model is equivalent to an N = 8 supersymmetric U ( n ) chiral model in 2 + 1 dimensions with a Wess–Zumino–Witten-type term. Further reduction to 1 + 1 dimensions yields N = ( 8 , 8 ) supersymmetric extensions of the standard U ( n ) chiral model and Grassmannian sigma models.
Highlights
Introduction and summaryNonlinear sigma models in k dimensions describe mappings of a k-dimensional manifold X into a manifold Y
Two-dimensional sigma models serve as a theoretical laboratory for the study of more complicated super-Yang–Mills theory since they share many of its features such as asymptotic freedom, nontrivial topological structure, the existence of instantons, ultraviolet finiteness for the N = 4 supersymmetric case, etc
Recall that for two-dimensional nonlinear sigma models admitting a Lagrangian formulation the number of supersymmetries is intimately related to the geometry of the target space
Summary
Nonlinear sigma models in k dimensions describe mappings of a k-dimensional manifold X into a manifold Y (target space). In this Letter we concentrate on the reduction of the N = 4 SDYM equations (instead of arbitrary N 4) in 2 + 2 dimensions since for this case a Lagrangian can be written down at least in terms of the component fields of a reduced Yang–Mills-type supermultiplet. It was shown by Witten [12] that the N = 4 SDYM model appears in twistor string theory, which is a B-type topological string with the supertwistor space CP 3|4 as a target space..
Sign-in/Register to view highlights & summary 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.
