Mirror symmetry.pdf

Mirror symmetry PDF

Kentaro Hori

Mirror symmetry is a phenomenon arising in string theory in which two very different manifolds give rise to equivalent physics. Such a correspondence bas significant mathematical consequences, the most familiar of which involves the enumeration of holomorphic curves inside complex manifolds by solving differential equations obtained from a mirror geometry. The inclusion of D-brane states in the equivalence bas led to further conjectures involving calibrated submanifolds of the mirror pairs and new (conjectural) invariants of complex manifolds : the Gopakumar Vafa invariants. This book aims to give a single, cohesive treatment of mirror symmetry from both the mathematical and physical viewpoint. Parts 1 and 2 develop the necessary mathematical and physical background from scratch , and are intended for readers trying to learn across disciplines. The treatment is focussed, developing only the material most necessary for the task. In Parts 3 and 4 the physical and mathematical proofs of mirror symmetry are given. From the physics side, this means demonstrating that two different physical theories give isomorphic physics. Each physical theory can be described geometrically, and thus mirror symmetry gives rise to a pairing of geometries. The proof involves applying R-1/R circle duality to the phases of the fields in the gauged linear sigma model. The mathematics proof develops Gromov-Witten theory in the algebraic setting, beginning with the moduli spaces of curves and maps, and uses localization techniques to show that certain hypergeometric functions encode the Gromov-Witten invariants in genus zero, as is predicted by mirror symmetry. Part 5 is devoted to advanced topics in mirror symmetry, including the role of D-branes in the context of mirror symmetry, and some of their applications in physics and mathematics : topological strings and large N Chern-Simons theory

Mirror symmetry definition at Dictionary.com, a free online dictionary with pronunciation, synonyms and translation. Look it up now! mirror symmetry : définition de mirror symmetry et ...

9.33 MB Taille du fichier
9780821829554 ISBN
Mirror symmetry.pdf


PC et Mac

Lisez l'eBook immédiatement après l'avoir téléchargé via "Lire maintenant" dans votre navigateur ou avec le logiciel de lecture gratuit Adobe Digital Editions.

iOS & Android

Pour tablettes et smartphones: notre application de lecture tolino gratuite

eBook Reader

Téléchargez l'eBook directement sur le lecteur dans la boutique www.mynite.com.au ou transférez-le avec le logiciel gratuit Sony READER FOR PC / Mac ou Adobe Digital Editions.


Après la synchronisation automatique, ouvrez le livre électronique sur le lecteur ou transférez-le manuellement sur votre appareil tolino à l'aide du logiciel gratuit Adobe Digital Editions.

Notes actuelles

Sofya Voigtuh

Vérifiez les traductions'mirror symmetry' en Français. Cherchez des exemples de traductions mirror symmetry dans des phrases, écoutez à la prononciation et apprenez la grammaire. mirror symmetry - Traduction anglais-espagnol | PONS

Mattio Müllers

Noels Schulzen

25/04/2019 · A line of symmetry is the line that divides the two identical parts, each part being a mirror reflection of the other. Q. What grade levels does our Symmetry Land Song For Kids target? Mirror symmetry - definition of mirror symmetry by …

Jason Leghmann

Gauge Theory and Mirror Symmetry - UCB Mathematics

Jessica Kolhmann

ag.algebraic geometry - Roadmap for Mirror …