B-Model Gromov-Witten Theory

Yongbin Ruan

ISBN 10: 3319942190 / ISBN 13: 9783319942193

Edité par Springer International Publishing, 2019

A propos de cet article

Druck auf Anfrage Neuware - Printed after ordering - This book collects various perspectives, contributed by both mathematicians and physicists, on the B-model and its role in mirror symmetry. Mirror symmetry is an active topic of research in both the mathematics and physics communities, but among mathematicians, the 'A-model' half of the story remains much better-understood than the B-model. This book aims to address that imbalance.It begins with an overview of several methods by which mirrors have been constructed, and from there, gives a thorough account of the 'BCOV' B-model theory from a physical perspective; this includes the appearance of such phenomena as the holomorphic anomaly equation and connections to number theory via modularity. Following a mathematical exposition of the subject of quantization, the remainder of the book is devoted to the B-model from a mathematician's point-of-view, including such topics as polyvector fields and primitive forms, Givental's ancestor potential, and integrablesystems.

N° de réf. du vendeur 9783319942193

Détails bibliographiques

• Titre: B-Model Gromov-Witten Theory
• Éditeur: Springer International Publishing
• Date de parution: 2019
• Langue: anglais
• ISBN à 10 chiffres: 3319942190
• ISBN à 13 chiffres: 9783319942193
• Reliure: Buch
• État de l'article: Neu
• Dimensions: 241 L x 160 H x 40 P (en millimètres) 241 millimètres de largeur par 160 millimètres de hauteur par 40 millimètres de profondeur
• Poids: 1115 grammes

A propos de ce titre

Synopsis

This book collects various perspectives, contributed by both mathematicians and physicists, on the B-model and its role in mirror symmetry. Mirror symmetry is an active topic of research in both the mathematics and physics communities, but among mathematicians, the "A-model" half of the story remains much better-understood than the B-model. This book aims to address that imbalance.

It begins with an overview of several methods by which mirrors have been constructed, and from there, gives a thorough account of the "BCOV" B-model theory from a physical perspective; this includes the appearance of such phenomena as the holomorphic anomaly equation and connections to number theory via modularity. Following a mathematical exposition of the subject of quantization, the remainder of the book is devoted to the B-model from a mathematician's point-of-view, including such topics as polyvector fields and primitive forms, Givental's ancestor potential, and integrablesystems.