2018/03/22 by Kyle Aitken, Andreas Karch, Brandon Robinson
Mathematics · Physics and Astronomy · #Abelian group #Action (physics) #Black Holes and Theoretical Physics #Bosonization #Boundary (topology) #Dual (grammatical number) #Duality (order theory) #Fermion #Gauge theory #Generalization #Linguistics #Mathematical analysis #Mathematical physics #Mathematics #Particle physics #Philosophy #Physics #Pure mathematics #Quantum many-body systems #Quantum mechanics #Theoretical physics #Topological Materials and Phenomena #cond-mat.mes-hall #hep-th
paper · pdf · doi:10.1007/jhep05(2018)124
31 pages, 1 figure
arxiv created 2018/03/22 · openalex publication_date 2018/05/01 · arxiv updated 2018/06/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A bstract We establish the action of the three-dimensional non-Abelian bosonization dualities in the presence of a boundary, which supports a non-anomalous two-dimensional theory. In particular, we generalize a prescriptive method for assigning duality consistent boundary conditions used originally for Abelian dualities to dual non-Abelian Chern-Simons-matter theories with SU and U gauge groups and fundamental matter sectors. The cases of single species matter sectors and those with both scalars and fermions in the dual theories are considered. Generalization of our methods to SO and USp Chern-Simons theories is also discussed.