Super-tetrahedra and super-algebras

Research output: Contribution to conference (non-published works)Paper


In this paper we give a detailed classification scheme for three-dimensional quantum zero curvature representation and tetrahedron equations. This scheme includes both even and odd parity components; the resulting algebras of observables are either Bose q-oscillators or Fermi oscillators. Three-dimensional R-matrices intertwining variously oriented tensor products of Bose and Fermi oscillators and satisfying tetrahedron and supertetrahedron equations are derived. The 3d→2d compactification reproduces Uq((n∣m)) superalgebras and their representation theory.
Original languageEnglish
Number of pages28
Publication statusPublished - 2008


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