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Inverse Higgs phenomena as duals of holonomic constraints

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Publication:5049680
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DOI10.1088/1751-8121/ac4c66zbMath1505.70038arXiv2103.08923OpenAlexW4206411815MaRDI QIDQ5049680

Joseph Tooby-Smith, Ben M. Gripaios

Publication date: 11 November 2022

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.08923


zbMATH Keywords

holonomic constraintsdifferential geometrynon-holonomic constraintsGoldstone bosonsjet manifoldsinverse Higgs constraints


Mathematics Subject Classification ID

Jets in global analysis (58A20) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Holonomic systems related to the dynamics of a system of particles (70F20)




Cites Work

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  • Enveloping actions and Takai duality for partial actions.
  • Manifolds, sheaves, and cohomology
  • Zoology of condensed matter: framids, ordinary stuff, extra-ordinary stuff
  • The nonholonomic variational principle
  • Characterisations of crossed products by partial actions
  • Mechanical systems with nonholonomic constraints
  • Higher-order mechanical systems with constraints


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