Dirichlet branes and mirror symmetry
 Language
 English.
 Imprint
 Providence, RI : American Mathematical Society ; Cambridge, MA : Clay Mathematics Institute, c2009.
 Physical description
 ix, 681 p. : ill. ; 27 cm.
 Series
 Clay mathematics monographs ; v. 4.
Access
Available online

Stacks

Unknown
QC794.6 .S85 D57 2009

Unknown
QC794.6 .S85 D57 2009
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Contributors
 Contributor
 Aspinwall, Paul, 1964
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Publisher's Summary
 Research in string theory has generated a rich interaction with algebraic geometry, with exciting new work that includes the StromingerYauZaslow conjecture. 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. The group of distinguished mathematicians and mathematical physicists who produced this monograph worked as a team to create a unique volume. 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 StromingerYauZaslow 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 StromingerYauZaslow conjecture. They relate the ideas to active areas of research that include the McKay correspondence, topological quantum field theory, and stability structures. The authors were not satisfied to tell their story twice, from separate mathematics and physics points of view. Instead, theirs is a unified presentation offered in a way that both mathematicians and physicists can follow, without having all of the foundations of both subjects at their immediate disposal.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2009
 Responsibility
 Paul S. Aspinwall ... [et al.].
 Series
 Clay mathematics monographs ; v. 4
 ISBN
 9780821838488 (alk. paper)
 0821838482 (alk. paper)
 0821838474 (alk. paper)
 9780821838471 (alk. paper)