Thick morphisms of supermanifolds, quantum mechanics, and spinor representation
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DOI: 10.1016/j.geomphys.2019.103540
Abstract: "Thick" or "microformal" morphisms of supermanifolds generalize ordinary maps. They were discovered as a tool for homotopy algebras. Namely, the corresponding pullbacks provide $L_{\infty}$-morphisms for $S_{\infty}$ or Batalin--Vilkovisky algebras. It was clear from the start… read more here.
Keywords: quantum mechanics; spinor representation; mechanics; morphisms supermanifolds ... See more keywords
A quantum fermion realisation of the finite dimensional spinor representation of Uq(osp(1|2n))
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DOI: 10.1063/1.4991678
Abstract: The quantum supergroup Uq(osp(1|2n)) admits a finite dimensional spinor representation, which does not have a classical limit. We construct a realisation of this representation on the Fock space of q-fermions. We also generalise the construction… read more here.
Keywords: finite dimensional; spinor representation; realisation; dimensional spinor ... See more keywords