Supercharges in the HKT Supersymmetric Sigma Models
Mathematical Physics
2015-06-11 v2 High Energy Physics - Theory
math.MP
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.
Keywords
Cite
@article{arxiv.1209.0539,
title = {Supercharges in the HKT Supersymmetric Sigma Models},
author = {A. V. Smilga},
journal= {arXiv preprint arXiv:1209.0539},
year = {2015}
}
Comments
12 pages. Final version published in J. Math. Phys