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A Relation Between -Graded Symmetry and Shape Invariant Supersymmetric Systems
V. K. Oikonomou
We study an important property of shape invariant supersymmetric quantum mechanical systems. Particularly, we demonstrate that each shape invariant supersymmetric system can consti…
Casimir Force of Fermions Coupled to Monopoles in Six Dimensional Spacetime
V. K. Oikonomou
We calculate the Casimir force for a fermionic quantum field in a piston geometry with three parallel plates. The fermion satisfies bag boundary conditions on the plates and the sp…
Extended Supersymmetries and 2+1 Dimensional Supersymmetric Chern Simons Theories
V. K. Oikonomou
We study N=2 supersymmetric Chern-Simons Higgs models in -dimensions. As we will demonstrate, an extended supersymmetric quantum mechanics algebras underlies the fermionic z…
Low Dimensional Supersymmetries in SUSY Chern-Simons Systems and Geometrical Implications
V. K. Oikonomou
We study in detail the underlying graded geometric structure of abelian N=2 supersymmetric Chern-Simons theory in -dimensions. This structure is an attribute of the hidden u…
Localized Fermions on Domain Walls and Extended Supersymmetric Quantum Mechanics
V. K. Oikonomou
We study fermionic fields localized on topologically unstable domain walls bounded by strings in a grand unified theory theoretical framework. Particularly, we found that the local…
Supersymmetric Chern-Simons Vortex Systems and Extended Supersymmetric Quantum Mechanics Algebras
V. K. Oikonomou
We study N=2 supersymmetric Chern-Simons Higgs models in -dimensions and the existence of extended underlying supersymmetric quantum mechanics algebras. Our findings indicat…