2020/08/31 by Kinjal Banerjee, Rudranil Basu, Aditya Mehra +2 · 2 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Conformal anomaly #Conformal field theory #Conformal map #Conformal symmetry #Gauge theory #Geometry #Helmholtz free energy #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Primary field #Pure mathematics #Quantum mechanics #Quartic function #Simple (philosophy) #Symmetry (geometry) #Theoretical physics #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.1103/physrevd.103.105001
published as Phys. Rev. D 103, 105001 (2021) · 35 pages, 2 figures, Presentation modified, Results unchanged
openalex publication_date 2021/05/04 · arxiv created 2021/05/07 · arxiv updated 2021/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We construct the free Lagrangian of the magnetic sector of Carrollian electrodynamics. The construction relies on Helmholtz integrability condition for differential equations in a self-consistent algorithm, working hand in hand with imposing invariance under infinite dimensional Conformal Carroll algebra. It requires inclusion of new fields in the dynamics and the system is free of gauge redundancies. We next add interaction (quartic) terms to the free Lagrangian, strictly constrained by conformal invariance and Carrollian symmetry. The dynamical realization of the non-semi-simple infinite dimensional symmetry algebra at the level of charge algebra is exact and free from central terms.