Odd and even Poisson brackets in dynamical systems |
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| Authors: | B A Kupershmidt |
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| Institution: | (1) The University of Tennessee Space Institute, 37388 Tullahoma, TN, USA;(2) Center for Nonlinear Studies, Los Alamos National Laboratory, 87545 Los Alamos, NM, USA |
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| Abstract: | On supermanifolds, two kinds of Poisson brackets are known to exist: even and odd. We present a general theory of even and odd super-Hamiltonian structures and apply it to a supersymmetric dynamics of one-dimensional fluid to derive an unusual symmetry between bosons and fermions. |
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