2000/08/14 by E. F. Moreno, F. A. Schaposnik, F Schaposnik
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Bosonization #Commutative property #Connection (principal bundle) #Dirac operator #Fermion #Field (mathematics) #Gauge theory #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Physics #Pure mathematics #Quantum mechanics #Space (punctuation) #Thirring model #Transformation (genetics) #Wess–Zumino–Witten model #hep-th
paper · pdf · doi:10.1016/s0550-3213(00)00702-1
published as Nucl.Phys. B596 (2001) 439-458 · 27 pages, 1 figure. LaTex file
arxiv created 2000/08/14 · openalex publication_date 2001/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We analyze the connection between Wess-Zumino-Witten and free fermion models in two-dimensional noncommutative space. Starting from the computation of the determinant of the Dirac operator in a gauge field background, we derive the corresponding bosonization recipe studying, as an example, bosonization of the U(N) Thirring model. Concerning the properties of the noncommutative Wess-Zumino-Witten model, we construct an orbit-preserving transformation that maps the standard commutative WZW action into the noncommutative one.