Abstract
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 language | English |
|---|---|
| Pages | 1-28 |
| Number of pages | 28 |
| Publication status | Published - 2008 |
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Sergeev, S. (2008). Super-tetrahedra and super-algebras. 1-28.