2019/04/30 by Olivera Miskovic, Olivera Mišković, Tatjana Vukašinac
Mathematics · Physics and Astronomy · #Abelian group #Action (physics) #Black Holes and Theoretical Physics #Canonical form #Cosmology and Gravitation Theories #Degrees of freedom (physics and chemistry) #Diffeomorphism #Gauge theory #Invariant (physics) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.100.045025
published in Physical review. D/Physical review. D. 100(4) (American Physical Society) · 29 pages, no figures; typos corrected, references added
arxiv created 2019/08/13 · openalex publication_date 2019/08/28 · arxiv updated 2019/09/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We discuss diffeomorphism and gauge invariant theories in three dimensions, motivated by the fact that some models of interest do not have a suitable action description yet. The construction is based on a canonical representation of symmetry generators and on building of the corresponding canonical action. We obtain a class of theories whose number of local degrees of freedom depends on the dimension of the gauge group and the number of the independent constraints. By choosing the latter, we focus on three special cases, starting with a theory with the maximal local number of degrees of freedom and finishing with a theory with zero degrees of freedom (Chern-Simons).