The Keçeci-Fujii Model Derived from Akdeniz-Dane Model: 2n-Dimensional Instanton Solutions, Higher-Derivative Interactions and Quantum Information Applications

The Keçeci-Fujii Model Derived from Akdeniz-Dane Model: 2n-Dimensional Instanton Solutions, Higher-Derivative Interactions and Quantum Information Applications Mehmet KeçeciORCID: 0000-0001-9937-9839January 28, 2026 AbstractThis study presents the Keçeci-Fujii model, derived from the two-dimensional conformal model of Akdeniz and Dane and built upon Fujii’s higher-derivative generalization. The model is a higher-derivative theory with scalar-spinor interaction in even-dimensional spaces. Recurrence relations for the Keçeci-Fujii model have been derived, relationships between coupling constants have been analyzed, and the comparative behavior of Gürsey, Akdeniz-Dane, and Keçeci-Fujii coupling constants in four-dimensional conformal models has been examined. The work discusses the model’s potential applications in quantum computing, topological quantum materials, and holographic principles, and suggests future research directions. Keywords: Instanton, Keçeci-Fujii model, Akdeniz-Dane model, Liouville term, conformal field theory, coupling constant, higher-derivative theories, quantum computing. PACS: 11.25.Hf; 11.10.Ef; 11.15.Kc; 03.50.Kk; 11.30.Pb; 05.45.Yv; 03.67.Lx PhySH: Conformal field theory; Solitons and instantons; Supersymmetry; Lagrangian approach; Quantum simulation; Topological phases of matter.