Supercharges in the HKT Supersymmetric Sigma Models
arXiv:1209.0539 · doi:10.1063/1.4769452
Abstract
We construct explicitly classical and quantum supercharges satisfying the standard N = 4 supersymmetry algebra in the supersymmetric sigma models describing the motion over HKT (hyper-Kaehler with torsion) manifolds. One member of the family of superalgebras thus obtained is equivalent to the superalgebra derived and formulated earlier in the purely mathematical framework.
12 pages. Final version published in J. Math. Phys
Cited by in corpus (6)
- SU(2|2) supersymmetric mechanics
- Taming the zoo of supersymmetric quantum mechanical models
- Comments on HKT supersymmetric sigma models and their Hamiltonian reduction
- The geometry of gauged (super)conformal mechanics
- Supersymmetry and Hodge theory on Sasakian and Vaisman manifolds
- Bi-HKT and bi-Kaehler supersymmetric sigma models