2011/02/01 by V. M. Zharkov, V. Zharkov, V. Kirchanov +1
Materials Science · Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Fermion #Geology #Geometry #Hubbard model #Mathematical physics #Mathematics #Organic and Molecular Conductors Research #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Quantum mechanics #Representation (politics) #Rotation (mathematics) #Spinor #Superalgebra #Supergroup #Theoretical physics #cond-mat.str-el #hep-th
paper · pdf · doi:10.1007/s11232-011-0015-0
published as Theor.Math.Phys.166:210-223,2011; Teor.Mat.Fiz.166:245-260,2011 · 17 pages, Theoretical and Mathematical Physics, V.166, n.2, p.209-222,2011
openalex publication_date 2011/02/01 · arxiv created 2011/02/12 · arxiv updated 2011/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Based on the revealed hidden supergroup structure, we develop a new approach to the Hubbard model. We reveal a relation of even Hubbard operators to the spinor representation of the generators of the rotation group of four-dimensional spaces. We propose a procedure for constructing a matrix representation of translation generators, yielding a curved space on which dynamic superfields are defined. We construct a new deformed nonlinear superalgebra for the regime of spinless Hubbard model fermions in the case of large on-site repulsion and evaluate the effective functional for spinless fermions.