Wess-Zumino sigma models with non-Kahlerian geometry
arXiv:hep-th/0306244 · doi:10.1088/0264-9381/20/23/014
Abstract
Supersymmetry of the Wess-Zumino (N=1, D=4) multiplet allows field equations that determine a larger class of geometries than the familiar Kahler manifolds, in which covariantly holomorphic vectors rather than a scalar superpotential determine the forces. Indeed, relaxing the requirement that the field equations be derivable from an action leads to complex flat geometry. The Batalin-Vilkovisky formalism is used to show that if one requires that the field equations be derivable from an action, we once again recover the restriction to Kahler geometry, with forces derived from a scalar superpotential.
13 pages, Latex
References in corpus (5)
- Superconformal N=2, D=5 matter with and without actions
- Local BRST cohomology in minimal D=4, N=1 supergravity
- The map between conformal hypercomplex/hyper-Kaehler and quaternionic(-Kaehler) geometry
- Special geometries, from real to quaternionic
- Deformations of global symmetries in the extended antifield formalism