1999/05/31 by Pascal Baseilhac, PASCAL BASEILHAC · 2 citations
Mathematics · Physics and Astronomy · #Affine transformation #Algebraic number #Algebraic structures and combinatorial models #Extension (predicate logic) #Field (mathematics) #Field theory (psychology) #Homogeneous space #Noncommutative and Quantum Gravity Theories #Nonlinear Waves and Solitons #Quantum field theory #Vertex (graph theory) #hep-th
paper · pdf · doi:10.1142/s0217751x99001986
published in International Journal of Modern Physics A 14(26), 4201-4235 (World Scientific) · 34 pages, 2 figures, LaTex file with amstex, epsfig, misprint corrected, references added
openalex publication_date 1999/10/20 · arxiv created 1999/11/10 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The two-dimensional space–time sine–Gordon field theory is extended algebraically within the n-dimensional space of extended complex numbers. This field theory is constructed in terms of an adapted extension of standard vertex operators. A whole set of nonlocal conserved charges is constructed and studied in this framework. Thereby, an algebraic nonperturbative description is possible for this n-1 parameters family of quantum field theories. Known results are obtained for specific values of the parameters, especially in relation to affine Toda field theories. Different (dual)-models can then be described in this formalism.