2014/07/31 by S. Krishna, R. P. Malik · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Differential (mechanical device) #Differential algebra #Differential calculus #Differential geometry #Homogeneous space #Nilpotent #Nonlinear Waves and Solitons #Quantum #Quantum Mechanics and Non-Hermitian Physics #Realization (probability) #Supersymmetry #hep-th
paper · pdf · doi:10.1209/0295-5075/109/31001
published as Europhys. Lett. 109: 31001 [p01--p06], 2015 · LaTeX file, 12 pages, Journal reference is given
openalex publication_date 2015/02/01 · arxiv created 2015/04/16 · arxiv updated 2015/04/17 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05
We discuss a set of novel discrete symmetries of a free supersymmetric (SUSY) quantum-mechanical system which is the limiting case of a widely studied interacting SUSY model of a charged particle constrained to move on a sphere in the background of a Dirac magnetic monopole. The usual continuous symmetries of this model provide the physical realization of the de Rham cohomological operators of differential geometry. The interplay between the novel discrete symmetries and usual continuous symmetries leads to the physical realization of the relationship between the (co-)exterior derivatives of differential geometry. We have also exploited the supervariable approach to derive the nilpotent SUSY symmetries of the theory and provided the geometrical origin and interpretation for the nilpotency property. Ultimately, our present study (based on innate symmetries) proves that our free SUSY example is a tractable model for the Hodge theory.