Classical Mirror Symmetry

• Main Author: Jinzenji, Masao (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: SpringerBriefs in Mathematical Physics, 29
• Subjects: Mathematical physics.; Quantum field theory.; String theory.; Mathematical Physics.; Quantum Field Theories, String Theory.

This book furnishes a brief introduction to classical mirror symmetry, a term that denotes the process of computing Gromov-Witten invariants of a Calabi-Yau threefold by using the Picard-Fuchs differential equation of period integrals of its mirror Calabi-Yau threefold. The book concentrates on the...

Table of Contents:

• 1. Brief Introduction of Mirror Symmetry
• 2. Topological Sigma Models (A-Model and B-Model)
• 3. Basics of Geometry of Complex Manifolds
• 4. Detailed Computation of B-Model Prediction
• 5. Moduli space of Holomorphic Maps from CP^1 to CP^{N-1}
• 6. Localization Computation
• 7. Brief Outline of Direct Proof of Mirror Theorem.