B-Model Gromov-Witten Theory (Hardcover)

Emily Clader

ISBN 10: 3319942190 / ISBN 13: 9783319942193

Published by Birkhauser Verlag AG, Basel, 2019

About this Item

Hardcover. 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 mathematicians point-of-view, including such topics as polyvector fields and primitive forms, Giventals ancestor potential, and integrablesystems. This book collects various perspectives, contributed by both mathematicians and physicists, on the B-model and its role in mirror symmetry. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

Seller Inventory # 9783319942193

Bibliographic Details

• Title: B-Model Gromov-Witten Theory (Hardcover)
• Publisher: Birkhauser Verlag AG, Basel
• Publication Date: 2019
• Language: English
• ISBN 10: 3319942190
• ISBN 13: 9783319942193
• Binding: Hardcover
• Condition: new

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.