\(\mathbb{Z}_ 3\)-graded exterior differential calculus and gauge theories of higher order
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Publication:1912765
DOI10.1007/BF00714408zbMath0852.58002arXivmath-ph/0004032OpenAlexW3099529394MaRDI QIDQ1912765
Publication date: 23 June 1996
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0004032
Yang-Mills and other gauge theories in quantum field theory (81T13) Exterior differential systems (Cartan theory) (58A15) Local differential geometry (53B99)
Related Items (15)
A differential calculus on \(Z_3\)-graded quantum superspace \(\mathbb R_q(2| 1)\) ⋮ Deformed Exterior Algebra, Quons and their Coherent States ⋮ CARTAN CALCULUS OF Z3-GRADED DIFFERENTIAL CALCULUS ON THE QUANTUM PLANE ⋮ Universal \(Z_N\)-graded differential calculus ⋮ Differential geometry of the \(\mathbb Z_3\)-graded quantum supergroup \(\mathrm{GL}_{q,j}(1|1)\) ⋮ Algebra of differential forms with exterior differential \(d^3=0\) in dimensions one and two. ⋮ Hypersymmetry: A ℤ3-graded generalization of supersymmetry ⋮ Applications of fractional exterior differential in three-dimensional space. ⋮ Non-coordinate case of graded differential algebra with ternary differential ⋮ Exterior differentials of higher order and their covariant generalization ⋮ REGULARIZED CALCULUS: AN APPLICATION OF ZETA REGULARIZATION TO INFINITE DIMENSIONAL GEOMETRY AND ANALYSIS ⋮ On ternary Clifford algebras on two generators defined by extra-special 3-groups of order 27 ⋮ On the structure of ternary Clifford algebras and their irreducible representations ⋮ On certain realizations of the \(q\)-deformed exterior differential calculus ⋮ \(Z_3\)-graded Grassmann variables, parafermions and their coherent states
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