2012/10/26 by Nikolay Kozyrev, S. Krivonos, Sergey Krivonos +1
Mathematics · Physics and Astronomy · #Analytical dynamics #Analytical mechanics #Black Holes and Theoretical Physics #Classical mechanics #Covariant transformation #Fibration #Hamiltonian (control theory) #Hamiltonian formalism #Hamiltonian mechanics #Instanton #Lagrangian #Mathematical physics #Mathematics #Neutrino Physics Research #Phase space #Physics #Pure mathematics #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #Quantum statistical mechanics #Supercharge #Superfield #Superpotential #Supersymmetry #hep-th #math-ph #math.MP
paper · pdf · doi:10.1088/1742-6596/411/1/012019
1+6 pages, talk by S.K. at the International Conference on Integrable Systems and Quantum symmetries (ISQS-20), Prague, 2012; v2: reference added
arxiv created 2012/10/26 · openalex publication_date 2013/01/28 · arxiv updated 2015/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
We discuss a Hamiltonian reduction procedure that relates the mechanics of an =2 particle on 3 with the motion of such a superparticle on 4 in the presence of an instanton background. The key ingredients of the bosonic fibration 2 → 3 → 4 are recalled from the viewpoint of particle mechanics on 3 . We describe an = 2 supersymmetric extension which allows for a Hamiltonian reduction. The 2 degrees of freedom are encoded in the supercharges via SU(2) currents. Finally, we present the Hamiltonian of our system and its superfield Lagrangian.