Gauge Symmetry in Shape Dynamics

Research output: Chapter in Book/Report/Conference proceedingChapter


C. N. Yang’s ideas about local gauge symmetry and non-integrable phases have been enormously fertile sources of inspiration in fundamental physics and in the quantum theory of matter. They also arise naturally in describing the dynamics of deformable bodies. Here I extend previous discussions of the gauge symmetry of deformable bodies in several directions, bringing in an arbitrary number of dimensions, general time-dependence, conservation laws and adiabatic residuals. I briefly indicate other potential applications of the conceptual framework.

Original languageEnglish (US)
Title of host publicationDialogues Between Physics and Mathematics
Subtitle of host publicationC. N. Yang at 100
PublisherSpringer International Publishing
Number of pages14
ISBN (Electronic)9783031175237
ISBN (Print)9783031175220
StatePublished - Jan 1 2022
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Mathematics(all)


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