| EPSRC Reference: |
GR/R61017/01 |
| Title: |
F-theory, local mirror symmetry and D-branes |
| Principal Investigator: |
Candelas, Professor P |
| Other Investigators: |
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| Department: |
Mathematical Institute |
| Organisation: |
University of Oxford |
| Scheme: |
Fast Stream |
| Starts: |
01 October 2001 |
Ends: |
30 November 2002 |
Value (£): |
62,147
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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Our research will be determined by the Objectives stated above. This proposal is concerned with F-theory, local mirror symmetry and D-braves. Our aim is to gain a better understanding of N=1 heterotic vacua which is A pre-requisite for the construction of models of the real world. This requires a more refined knowledge of vector bundles over Calabi-Yau manifolds than has been available hitherto. We intend to study a certain string duality, F-theory, which relates, under favourable circumstances, vector bundles on CY threefolds to CY fourfolds. This is a simplification since we have some control over CY fourfokls in virtue of the constructions of toric geometry involving reflexive polyhedra. We are led to conclude that the polyhedron for the fourfold encodes also the data of the vector bundle on the threefold. We are, for example, able to read off from the fourfold polyhedron what the corresponding threefold is and the group corresponding to the low energy effective theory. Other aspects of the correspondence remain mysterious: we would like to be able to compute also the matter content of the low energy theory, that is how many families of particles there are transforming in each representation of the gauge group. This is one of the problems that we intend to study. D-braves play a large role in the description of these heterotic vacua. These have a limit that corresponds to vector bundles when the radius (a generic Kahler parameter) of the CY manifold is large; but they have also a meaning at small radius. It is not yet settled what the appropriate description of these objects is and we intend to investigate this by studying the local mirror symmetry of configurations of such objects.
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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.ox.ac.uk |