Abstract
We analyze (4,0) supersymmetric σ-models on a four dimensional target space which possess one tri-holomorphic Killing vector which is also assumed to leave invariant the torsion. The problem is reduced to two stages: first finding “special” three dimensional Einstein-Weyl spaces, and second solving a monopole-like equation on the special Einstein-Weyl space. A new class of examples is constructed using as Einstein-Weyl geometry the Berger sphere which includes the round three sphere as a particular case. When the Einstein-Weyl geometry is taken to be the round three sphere we show that the corresponding (4,0) geometries can be lifted to (4,4) geometries with two sets of non-commuting hyper-complex structures.
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.
