Mathematics – Differential Geometry
Scientific paper
Jan 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000rvmp...72....1o&link_type=abstract
Reviews of Modern Physics, vol. 72, Issue 1, pp. 1-23
Mathematics
Differential Geometry
37
Gauge Field Theories, Quantum Gravity, History Of Science, Strings And Branes, Asymptotic Problems And Properties, Classical Differential Geometry, Surveys And Tutorial Papers, Resource Letters, Gauge Field Theories, Quantum Gravity, History Of Science, Strings And Branes, Asymptotic Problems And Properties, Classical Differential Geometry, Surveys And Tutorial Papers, Resource Letters
Scientific paper
One of the major developments of twentieth-century physics has been the gradual recognition that a common feature of the known fundamental interactions is their gauge structure. In this article the authors review the early history of gauge theory, from Einstein's theory of gravitation to the appearance of non-Abelian gauge theories in the fifties. The authors also review the early history of dimensional reduction, which played an important role in the development of gauge theory. A description is given of how, in recent times, the ideas of gauge theory and dimensional reduction have emerged naturally in the context of string theory and noncommutative geometry.
O'Raifeartaigh Lochlainn
Straumann Norbert
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