BiHermitian Supersymmetric Quantum Mechanics

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.

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

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Cited by in corpus (8)

• T-duality and Generalized Kahler Geometry
• U(N) spinning particles and higher spin equations on complex manifolds
• New N = (2, 2) vector multiplets
• The Hitchin Model, Poisson-quasi-Nijenhuis Geometry and Symmetry Reduction
• Gauging the Poisson sigma model
• Supersymmetric Oscillator: Novel Symmetries
• An Alternative Topological Field Theory of Generalized Complex Geometry
• A heterotic sigma model with novel target geometry