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B-Model Gromov-Witten Theory de Emily Clader

B-Model Gromov-Witten Theory: Trends in Mathematics

Editat de Emily Clader, Yongbin Ruan
en Limba Engleză Hardback – 18 apr 2019
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.
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Specificații

ISBN-13: 9783319942193
ISBN-10: 3319942190
Pagini: 640
Ilustrații: XIII, 625 p. 65 illus., 6 illus. in color.
Dimensiuni: 160 x 241 x 40 mm
Greutate: 1.12 kg
Ediția:1st ed. 2018
Editura: birkhäuser
Colecția Trends in Mathematics
Seria Trends in Mathematics

Locul publicării:Cham, Switzerland

Cuprins

Mirror symmetry constructions.- The B-model approach to topological string theory on Calabi-Yau n-folds.- Geometric quantizations with applications to Gromov-Witten theory.- Some classical/quantum aspects of Calabi-Yau moduli.- The total ancestor potential in singularity theory.- Lecture notes on bihamiltonian structures and their central invariants.

Textul de pe ultima copertă

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 integrable systems.

Caracteristici

Attempts to close the gap between the mathematical community’s understanding of the B model and the A model Brings together mathematical and physical perspectives in one reference, providing a unique opportunity for the two communities to learn from one another Provides an overview of several methods by which mirrors have been constructed Details the “BCOV” B-model theory from a physical perspective