EPSRC Reference: 
GR/M05010/01 
Title: 
THE GEOMETRY AND PHYSICS OF MONOPOLES 
Principal Investigator: 
Singer, Professor M 
Other Investigators: 

Researcher CoInvestigators: 

Project Partners: 

Department: 
Sch of Mathematics 
Organisation: 
University of Edinburgh 
Scheme: 
Standard Research (PreFEC) 
Starts: 
15 August 1999 
Ends: 
14 September 1999 
Value (£): 
34,375

EPSRC Research Topic Classifications: 
Algebra & Geometry 
Mathematical Physics 

EPSRC Industrial Sector Classifications: 
No relevance to Underpinning Sectors 


Related Grants: 

Panel History: 

Summary on Grant Application Form 
Nonabelian 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, nonperturbative 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 3dimensional solitons and play a crucial role in the recent (post1994) breakthroughs in the understanding of supersymmetric YangMills theory at strong coupling and Sduality 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.

Key Findings 
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Potential use in nonacademic contexts 
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Impacts 
Description 
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Summary 

Date Materialised 


Sectors submitted by the Researcher 
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Project URL: 

Further Information: 

Organisation Website: 
http://www.ed.ac.uk 