Friday, August 17, 2012

1208.3367 (R. P. Malik et al.)

N = 2 Supersymmetric Quantum Mechanical Models and Hodge Theory    [PDF]

R. P. Malik, Avinash Khare
We demonstrate the existence of a novel set of discrete symmetries in the context of N = 2 supersymmetric quantum mechanical (SQM) models in one and two dimensions. We derive the underlying algebra of the continuous symmetry transformations and establish its relevance to the algebraic structures of the de Rham cohomological operators of differential geometry. We further show that the discrete symmetry transformations of our models correspond to the Hodge duality operation so that these models provide interesting examples of Hodge theory.
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