3 papers
hep-th2026
Dirac-Bergmann analysis of SW-mapped non-commutative electrodynamics with external currents
J. Manuel Cabrera, A. G. Andarcia Caballero, J. M. Paulin Fuentes
Non-commutative electrodynamics obtained through the Seiberg-Witten map ceases to have equivalent action-level and equation-level realizations once fixed external currents are intr…
math-ph2026
Matrix bordering structure of the Faddeev-Jackiw algorithm: kernel reduction and symbolic automation
E. Chan-López, A. Martín-Ruiz, Jaime Manuel Cabrera +1
We show that the iterative Faddeev-Jackiw (FJ) reduction for singular Lagrangian systems constitutes a geometrically constrained instance of the Matrix Bordering Technique (MBT). S…
gr-qc2024
Hamiltonian analysis and Faddeev-Jackiw formalism for two-Dimensional Quadratic Gravity expressed as BF theory
Jaime Manuel Cabrera, Jorge Mauricio Paulin Fuentes
We examine the model of Two-Dimensional Quadratic Gravity as a consequence of symmetry breaking within the framework of background field (BF) theory. This theory is essentially an…