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math-ph2025
Phase spaces in field theory: Reduction vs. resolution
Aldo Riello, Michele Schiavina
In this note we review the concept of phase space in classical field theory, discussing several variations on the basic notion, as well as the relation between them. In particular…
hep-th2025
Beyond Noether: A Covariant Study of Poisson-Lie Symmetries in Low Dimensional Field Theory
Florian Girelli, Christopher Pollack, Aldo Riello
We explore global Poisson-Lie (PL) symmetries using a Lagrangian, or "covariant phase space" approach, that manifestly preserves spacetime covariance. PL symmetries are the classic…