Explicit supercharges and Hamiltonians are constructed for all N=8 superconformal mechanics variants associated with osp(8|2), F(4), osp(4*|4), and su(1,1|4).
A Four Dimensional Generalization of the Quantum Hall Effect
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abstract
We construct a generalization of the quantum Hall effect, where particles move in four dimensional space under a SU(2) gauge field. This system has a macroscopic number of degenerate single particle states. At appropriate integer or fractional filling fractions the system forms an incompressible quantum liquid. Gapped elementary excitations in the bulk interior and gapless elementary excitations at the boundary are investigated.
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N=8 superconformal mechanics: direct construction
Explicit supercharges and Hamiltonians are constructed for all N=8 superconformal mechanics variants associated with osp(8|2), F(4), osp(4*|4), and su(1,1|4).