BiHermitian Supersymmetric Quantum Mechanics

Details BiHermitian Supersymmetric Quantum Mechanics BiHermitian Supersymmetric Quantum Mechanics

2006-11-28

arxiv.org/abs/hep-th/0611308v2

Class.Quant.Grav.24:2073-2098,2007

Physics

High Energy Physics

High Energy Physics - Theory

45 pages, no figure; new results added in section 8

Scientific paper

10.1088/0264-9381/24/8/009

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.

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