B-Model Gromov-Witten Theory (Hardcover)

Emily Clader

ISBN 10: 3319942190 / ISBN 13: 9783319942193

Edité par Birkhauser Verlag AG, Basel, 2019

A propos de cet article

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 multiple locations in the US or from the UK, depending on stock availability.

N° de réf. du vendeur 9783319942193

Détails bibliographiques

• Titre: B-Model Gromov-Witten Theory (Hardcover)
• Éditeur: Birkhauser Verlag AG, Basel
• Date de parution: 2019
• Langue: anglais
• ISBN à 10 chiffres: 3319942190
• ISBN à 13 chiffres: 9783319942193
• Reliure: Hardcover
• État de l'article: new

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.