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Gauge Theory of a Group of Diffeomorphisms. 1. General Principles

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Publication Date
Identifiers
DOI: 10.1063/1.526980
OAI: oai:inspirehep.net:237618
Source
INSPIRE-HEP
Keywords
  • Theory-Hep
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Abstract

Any (N+M)‐parameter Lie groupG with an N‐parameter subgroup H can be realized as a global group of diffeomorphisms on an M‐dimensional base space B, with representations in terms of transformation laws of fields on B belonging to linear representations of H. The gauged generalization of the global diffeomorphisms consists of general diffeomorphisms (or coordinate transformations) on a base space together with a local action of H on the fields. The particular applications of the scheme to space‐time symmetries is discussed in terms of Lagrangians, field equations, currents, and source identities.

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