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arXiv · 2603.19135

Hamiltonian Reduction in Affine Principal Bundles

Miguel Ángel Berbel·Marco Castrillón López
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Abstract

This paper presents a Hamiltonian reduction procedure for field theories over affine principal bundles introducing a canonical identification to describe the reduced multisymplectic space without the introduction of a connection. The main goal is to provide a Hamiltonian analogue of the Lagrangian reduction theory developed in M. Castrill\'on L\'opez, P. M. Chac\'on, and P. L. Garc\'ia. J. Geom. Mech., 5(4):399-414, 2013. The core of this work lies in the derivation of this canonical identification, the reduced Hamilton-Cartan equations, and a reduced covariant bracket that describes the dynamics. Finally, this theoretical framework is illustrated with a fundamental example: molecular strands.

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Miguel Ángel Berbel, Marco Castrillón López. 2026-03-19. Hamiltonian Reduction in Affine Principal Bundles. https://doi.org/10.1142/s2972458925400076

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