EPSRC Reference: 
EP/H00243X/1 
Title: 
Integrability and MTheory 
Principal Investigator: 
Saemann, Professor C 
Other Investigators: 

Researcher CoInvestigators: 

Project Partners: 

Department: 
S of Mathematical and Computer Sciences 
Organisation: 
HeriotWatt University 
Scheme: 
Career Acceleration Fellowship 
Starts: 
01 October 2009 
Ends: 
30 September 2014 
Value (£): 
438,137

EPSRC Research Topic Classifications: 

EPSRC Industrial Sector Classifications: 
No relevance to Underpinning Sectors 


Related Grants: 

Panel History: 

Summary on Grant Application Form 
In the current physical picture of the world, nature is split into two domains. On the one hand, one has Einstein's theory of general relativity describing gravity, which governs the universe on a macroscopic scale: it allows us to predict the motion of the planets and galaxies, and it predicts the expansion of the universe and the possible existence of black holes. On the other hand, we have quantum mechanics and the standard model of elementary particles, governing physics on the scale of atoms. Bringing both theories consistently together in a unified picture is currently only possible within a framework of ideas called string theory. In string theory, elementary particles are replaced by excitations on vibrating strings, quite similar to the excitations of the strings of a violin producing various notes. String theory has many extraordinary properties and it has led to quite a few new discoveries in both mathematics and physics. Over the last ten years, however, more and more hints of a theory lurking in the background have appeared, and this theory was called Mtheory. Mtheory might in fact be the longsought worldformula as it potentially provides a unified description of all the natural phenomena in our universe.In this research programme, some crucial questions about Mtheory are asked. In Mtheory, the basic building blocks are no longer strings, but 2 and 5dimensional objects called M2 and M5branes. One of the great current mysteries is how to describe the dynamics of the M2branes, even if gravity was ''turned off''. Recently, there has been a proposal for such a theory of M2branes and it received much attention over the last year. It turned out, however, that this candidate theory is not general enough; for example, it allows only for the simultaneous description of two M2branes. It is therefore necessary to explore possible extensions and modifications of this theory, and this is the main purpose of this research programme. Mostly, mathematical aesthetics will be used as a guideline for constructing these extensions by identifying broader mathematical frameworks, into which the original theory can be fitted. Of course at the end of the day, it is necessary to check our constructions against physical requirements. Also, I will aim at obtaining an effective description even for the dynamics of M5branes. This should be possible because in situations when M2branes end on M5branes an interesting symmetry is expected to appear, which relates both theories. Finding both descriptions would greatly improve our understanding of the very nature of the universe we are living in.

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Further Information: 

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