Dirichlet Branes and Mirror Symmetry

Aspinwall, P.S., Bridgeland, T., Craw, A., Douglas, M.R., Gross, M., Kapustin, A., Moore, G.W., Segal, G., Szendroi, B. and Wilson, P.M.H. (2009) Dirichlet Branes and Mirror Symmetry. Series: Clay mathematics monographs (4). American Mathematical Society: Providence, USA. ISBN 9780821838488

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Abstract

This monograph builds on lectures at the 2002 Clay School on Geometry and String Theory that sought to bridge the gap between the languages of string theory and algebraic geometry, presenting an updated discussion that includes subsequent developments. Its overall goal is to explore the physical and mathematical aspects of Dirichlet branes. The narrative is organized around two principal ideas: Kontsevich's Homological Mirror, Symmetry conjecture, and the Strominger-Yau-Zaslow conjecture. The authors explain how Kontsevich's conjecture is equivalent to the identification of two different categories of Dirichlet branes. They also explore the ramifications and current state of the Strominger-Yau-Zaslow conjecture. They relate the ideas to active areas of research that include the McKay correspondence, topological quantum field theory, and stability structures.

Item Type:Books
Status:Published
Glasgow Author(s) Enlighten ID:Craw, Dr Alastair
Authors: Aspinwall, P.S., Bridgeland, T., Craw, A., Douglas, M.R., Gross, M., Kapustin, A., Moore, G.W., Segal, G., Szendroi, B., and Wilson, P.M.H.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Publisher:American Mathematical Society
ISBN:9780821838488

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