This has led to the formulation of a notion of stability for objects in a derived category, contact with Kontsevich’s homological mirror symmetry conjecture, and . We present a justification on the conjecture on the mirror construction of D- branes in Aganagic-Vafa [2]. We apply the techniques employed in. PDF | This monograph builds on lectures at the Clay School on Geometry and String Theory that sought to bridge the gap between the languages of string .

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Dirichlet Branes and Mirror Symmetry : Bennett Chow :

Chern-Simons gauge theory as a string theory – Witten, Edward Prog. The authors explain how Kontsevich’s conjecture is equivalent to the identification of two different categories of Dirichlet branes. In a derived category the morphisms do not have kernels or cokernels, and so they are synmetry but not Abelian.

Amazon Second Chance Pass it on, trade it in, give it a second life. A new string revolution in the mids brought the notion of branes to the forefront. Would you like to tell us about a lower price?

The real roots are dimension vectors for which there is exactly one indecomposable representation, whereas the imaginary roots are the dimension vectors for which there are families of indecomposable representations. Hence the homology shifts in degree by one by taking the suspension.

This can be extended to RR potentials using differential K-theory.


Ships from and sold by Amazon. Kahler cone substructure – Sharpe, Eric R. Clay Mathematics Monographs Volume: We’re featuring millions of their reader ratings on our book pages to help you find your new favourite book.

English Choose a language for shopping. Between two of these objects, the maps are regular morphisms, while from the third object to one other it shifts the degree of the other object by one. Amazon Giveaway allows you to run promotional giveaways in order to create buzz, reward your audience, and attract new followers and customers. This motivates the construction of the bounded derived category of coherent sheaves, with the category of coherent sheaves being a subcategory.

Dirichlet Branes and Mirror Symmetry

A natural sequel to the first Clay monograph on Mirror Symmetry, it presents the new dirichet coming out of the interactions of string theory and algebraic geometry in a coherent logical context. Showing of 1 reviews.

The book first introduces the notion of Dirichlet brane in the context of topological quantum field theories, and then reviews the basics of string theory. However, kernels and cokernels between coherent sheaves will be coherent.

Top Reviews Most recent Brxnes Reviews. Braid group actions on derived categories of coherent sheaves – Seidel, Paul et al. Dirichlet Branes and Mirror Symmetry.

[math/] Dirichlet branes, homological mirror symmetry, and stability

Book ratings by Goodreads. Check out the top books of the year on our page Best Books of Abelian categories and derived categories: In this context, a binding process can be viewed as a formation, wherein two D-branes can bind together via a potentially tachyonic open string. This has led to exciting new work, including the Strominger—Yau—Zaslow conjecture, which used the theory of branes to propose a geometric basis for mirror symmetry, the theory of stability conditions on triangulated categories, and a physical basis mirroor the McKay correspondence.


D-branes in Gepner models – Recknagel, A. Please try again later. This book is suitable for graduate students and researchers with either a physics or mathematics background, dirichpet are interested in the mirror between string theory and algebraic geometry. The mapping cone construction in a derived category bganes a triangulated structure on the category, which is very important in the notion of D-brane stability, and defines a potential bound state of two D-branes.

These developments have led to a great deal of new mathematical work. Hence one could conclude that the K-theory classification of D-branes is stronger than the classification by BPS states. By using our website you agree to our use of cookies. Amazon Renewed Refurbished products with a warranty. The Sykmetry Conjecture John Morgan. If you are a seller for this product, would you like to suggest updates through seller support?

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