| EPSRC Reference: |
GR/M05010/01 |
| Title: |
THE GEOMETRY AND PHYSICS OF MONOPOLES |
| Principal Investigator: |
Singer, Professor M |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Project Partners: |
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| Department: |
Sch of Mathematics |
| Organisation: |
University of Edinburgh |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
15 August 1999 |
Ends: |
14 September 1999 |
Value (£): |
34,375
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| EPSRC Research Topic Classifications: |
| Algebra & Geometry |
Mathematical Physics |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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| Panel History: |
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Summary on Grant Application Form |
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Non-abelian magnetic monopoles occupy a crucial position in gauge theory from the perspective of both mathematics and theoretical physics. First written down in the 1970s by theoretical physicists, the equations governing monopoles have since turned out to be extraordinarily rich mathematically, while their study continues to be of interest to physicists with interests in solitons, non-perturbative aspects of quantum field theory and string theory. The mathematical topics which have a close relation to monopoles include twistor theory, algebraic geometry, quaternionic (especially hyperkaehler) geometry, gauge theory and Nahms equations. On the physics sides, monopoles provide a very interesting example of a system with 3-dimensional solitons and play a crucial role in the recent (post-1994) breakthroughs in the understanding of supersymmetric Yang-Mills theory at strong coupling and S-duality in string theory. This workshop will survey and facilitate research in all these various areas, and encourage collaboration between mathematicians and physicists with a shared interest in monopoles.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.ed.ac.uk |