m
• E

F Nous contacter

0

Multi angle

H 1 Calabi-Yau manifolds, mirror symmetry, and $F$-theory - part I

Auteurs : Morrison, David R. (Auteur de la Conférence)
CIRM (Editeur )

Résumé : There are five superstring theories, all formulated in 9+1 spacetime dimensions; lower-dimensional theories are studied by taking some of the spatial dimensions to be compact (and small). One of the remarkable features of this setup is that the same lower-dimensional theory can often be realized by pairing different superstring theories with different geometries. The focus of these lectures will be on the mathematical implications of some of these physical “dualities.”
Our main focus from the string theory side will be the superstring theories known as type IIA and type IIB. The duality phenomenon occurs for compact spaces of various dimensions and types. We will begin by discussing “T-duality” which uses tori as the compact spaces. We will then digress to introduce M-theory as a strong-coupling limit of the type IIA string theory, and F-theory as a variant of the type IIB string theory whose existence is motivated by T-duality. The next topic is compactifying the type IIA and IIB string theories on K3 surfaces (where the duality involves a change of geometric parameters but not a change of string theory).
By the third lecture, we will have turned our attention to Calabi-Yau manifolds of higher dimension, and the “mirror symmetry” which relates pairs of them. Various aspects of mirror symmetry have various mathematical implications, and we will explain how these are conjecturally related to each other.

Codes MSC :
14J32 - Calabi-Yau manifolds
81T30 - String and superstring theories; other extended objects (e.g., branes)
14J33 - Mirror symmetry

 Informations sur la Vidéo Langue : Anglais Date de publication : 03/05/2016 Date de captation : 13/04/2016 Collection : Research schools ; Algebraic and Complex Geometry ; Mathematical Physics Format : MP4 Domaine : Algebraic & Complex Geometry ; Mathematical Physics Audience : Chercheurs ; Etudiants Science Cycle 2 ; Doctorants , Post - Doctorants Download : https://videos.cirm-math.fr/2016-04-13_Morrison_part1.mp4 Informations sur la rencontre Nom de la rencontre : School on the Mathematics of String Theory / Ecole sur les mathématiques de la théorie des cordesOrganisateurs de la rencontre : Cheng, Miranda C. N. ; Kashani-Poor, Amir-Kian ; Minasian, Ruben ; Morrison, David R.Dates : 11/04/2016 - 15/04/2016 Année de la rencontre : 2016 URL Congrès : http://conferences.cirm-math.fr/1413.html Citation Data DOI : 10.24350/CIRM.V.18959603 Cite this video as: Morrison, David R. (2016). Calabi-Yau manifolds, mirror symmetry, and $F$-theory - part I. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18959603 URI : http://dx.doi.org/10.24350/CIRM.V.18959603

### Voir aussi

Bibliographie

Ressources Electroniques (Depuis le CIRM)

Books & Print journals

Recherche avancée

0
Z