COMPLEX STRUCTURES, DUALITY AND WZW-MODELS IN EXTENDED SUPERSPACE

Citation
It. Ivanov et al., COMPLEX STRUCTURES, DUALITY AND WZW-MODELS IN EXTENDED SUPERSPACE, Physics letters. Section B, 343(1-4), 1995, pp. 133-143
Citations number
29
Categorie Soggetti
Physics
Journal title
ISSN journal
03702693
Volume
343
Issue
1-4
Year of publication
1995
Pages
133 - 143
Database
ISI
SICI code
0370-2693(1995)343:1-4<133:CSDAWI>2.0.ZU;2-#
Abstract
We find the complex structure on the dual of a complex target space. F or N = (2,2) systems, we prove that the space orthogonal to the kernel of the commutator of the left and right complex structures is always integrable, and hence the kernel is parametrized by chiral and twisted chiral superfield coordinates. We then analyze the particular case of SU(2) x SU(2), and are led to a new N = 2 superspace formulation of t he SU(2) x U(1) WZW-model.