2015/05/06 by Ulf Lindström, Lindström, Ulf
Computer Science · Mathematics · Physics and Astronomy · #Advanced Optimization Algorithms Research #Matrix Theory and Algorithms #hep-th #math.DG
paper · pdf · doi:10.48550/arxiv.1505.01360
arxiv created 2015/05/06 · arxiv updated 2015/05/07
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 hyperkähler 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.