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Cyclic Leibniz rule: a formulation of supersymmetry on lattice

For the purpose of constructing supersymmetric(SUSY) theories on lattice, we propose a new type relation on lattice -cyclic Leibniz rule(CLR)- which is slightly different from an ordinary Leibniz rule. Actually, we find that CLR can enlarge the number of SUSYs and construct more Nicolai mappings in a quantum-mechanical model. In this model, the exact mass degeneracy between fermion and boson is shown.

preprint2014arXivOpen access
Mitsuhiro KatoMakoto SakamotoHiroto So
hep-lathep-th
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Mitsuhiro KatoMakoto SakamotoHiroto So

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