B-Model Gromov-Witten Theory

Yongbin Ruan

ISBN 10: 3319942190 / ISBN 13: 9783319942193

Published by Springer International Publishing Apr 2019, 2019

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -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. 640 pp. Englisch.

Seller Inventory # 9783319942193

Bibliographic Details

• Title: B-Model Gromov-Witten Theory
• Publisher: Springer International Publishing Apr 2019
• Publication Date: 2019
• Language: English
• ISBN 10: 3319942190
• ISBN 13: 9783319942193
• Binding: Buch
• Condition: Neu
• Dimensions: 241W x 160H x 40D millimeters 241 millimeters width by 160 millimeters height by 40 millimeters depth
• Weight: 1115 grams

About this title

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.