Semichirals and Four Dimensional Geometry
2015 (English)In: Proceedings, 14th Hellenic School and Workshops on Elementary Particle Physics and Gravity (CORFU2014) : Corfu, Greece, September 3-21, 2014, 2015Conference paper (Refereed)
Semichiral (2,2) sigma models with 4d target space are discussed. A novel description in (1,1) superspace allows an analysis of possible extended supersymmetries. It is argued that a manifest semichiral realization of an extra supersymmetry is only possible for hyperk\"ahler target geometry. A semichiral formulation of the SU(2)⊗U(1) WZW model is seemingly a counterexample to this. After deriving the extra supersymmetries of this model in (1,1) superspace it is shown that they cannot be lifted to transformations of semichirals in (2,2) superspace.
Place, publisher, year, edition, pages
Research subject Theoretical Physics
IdentifiersURN: urn:nbn:se:uu:diva-287789OAI: oai:DiVA.org:uu-287789DiVA: diva2:923463
14th Hellenic School and Workshops on Elementary Particle Physics and Gravity (CORFU2014)