https://doi.org/10.1140/epjc/s10052-013-2514-7
Regular Article - Theoretical Physics
Novel discrete symmetries in the general 
= 2 supersymmetric quantum mechanical model
1
Department of Physics, Center of Advanced Studies, Faculty of Science, Banaras Hindu University, Varanasi, 221 005, U.P., India
2
DST Center for Interdisciplinary Mathematical Sciences, Faculty of Science, Banaras Hindu University, Varanasi, 221 005, U.P., India
* e-mail: raviphynuc@gmail.com
Received:
1
July
2013
Revised:
15
July
2013
Published online:
8
August
2013
In addition to the usual supersymmetric (SUSY) continuous symmetry transformations for the general = 2 SUSY quantum mechanical model, we show the existence of a set of novel discrete symmetry transformations for the Lagrangian of the above SUSY quantum mechanical model. Out of all these discrete symmetry transformations, a unique discrete transformation corresponds to the Hodge duality operation of differential geometry and the above SUSY continuous symmetry transformations (and their anticommutator) provide the physical realizations of the de Rham cohomological operators of differential geometry. Thus, we provide a concrete proof of our earlier conjecture that any arbitrary = 2 SUSY quantum mechanical model is an example of a Hodge theory where the cohomological operators find their physical realizations in the language of symmetry transformations of this theory. Possible physical implications of our present study are pointed out, too.
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2013
