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Parabose-Parafermi Supersymmetry
Ali Mostafazadeh
The () parabose-parafermi supersymmetry is studied in general terms. It is shown that the algebraic structure of the () parastatistical dynamical variables allows for (sy…
Para-Generalization of Peierls Bracket Quantization
Ali Mostafazadeh
A convenient formalism is developed to treat classical dynamical systems involving parafermionic and parabosonic dynamical variables. This is achieved via the introduction…
Lattice Topological Field Theory on Non-Orientable Surfaces
Vahid Karimipour, Ali Mostafazadeh
The lattice definition of the two-dimensional topological quantum field theory [Fukuma, {\em et al}, Commun.~Math.~Phys.\ {\bf 161}, 157 (1994)] is generalized to arbitrary (not ne…
Topological Aspects of Parasupersymmetry
Ali Mostafazadeh
Parasupersymmetric quantum mechanics is exploited to introduce a topological invariant associated with a pair of parameter dependent Fredholm (respectively elliptic differential) o…