BiHermitian Supersymmetric Quantum Mechanics
High Energy Physics - Theory
2008-11-26 v2 Mathematical Physics
Differential Geometry
math.MP
Abstract
BiHermitian geometry, discovered long ago by Gates, Hull and Rocek, is the most general sigma model target space geometry allowing for (2,2) world sheet supersymmetry. In this paper, we work out supersymmetric quantum mechanics for a biHermitian target space. We display the full supersymmetry of the model and illustrate in detail its quantization procedure. Finally, we show that the quantized model reproduces the Hodge theory for compact twisted generalized Kaehler manifolds recently developed by Gualtieri. This allows us to recover and put in a broader context the results on the biHermitian topological sigma models obtained by Kapustin and Li.
Cite
@article{arxiv.hep-th/0611308,
title = {BiHermitian Supersymmetric Quantum Mechanics},
author = {Roberto Zucchini},
journal= {arXiv preprint arXiv:hep-th/0611308},
year = {2008}
}
Comments
45 pages, no figure; new results added in section 8