Conformal Field Theory and Topology pdf epub mobi txt 電子書 下載2025
- 共形場論
- 數學
- 物理
- 拓撲
- 量子場論
- 數學物理
- 場論
- 幾何
One of the most remarkable interactions between geometry and physics since 1980 has been an application of quantum field theory to topology and differential geometry. An essential difficulty in quantum field theory comes from infinite-dimensional freedom of a system. Techniques dealing with such infinite-dimensional objects developed in the framework of quantum field theory have been influential in geometry as well. This book focuses on the relationship between two-dimensional quantum field theory and three-dimensional topology which has been studied intensively since the discovery of the Jones polynomial in the middle of the 1980s and Witten's invariant for 3-manifolds which was derived from Chern-Simons gauge theory. This book gives an accessible treatment for a rigorous construction of topological invariants originally defined as partition functions of fields on manifolds. The book is organized as follows: The Introduction starts from classical mechanics and explains basic background materials in quantum field theory and geometry. Chapter 1 presents conformal field theory based on the geometry of loop groups. Chapter 2 deals with the holonomy of conformal field theory. Chapter 3 treats Chern-Simons perturbation theory. The final chapter discusses topological invariants for 3-manifolds derived from Chern-Simons perturbation theory.
具體描述
讀後感
这可以说是Witten 的文章“ Quantum field theory and the Jones polynomial" 的详细说明。 Witten的文章里面有一个很重要的observation是，the space of conformal blocks = one specific flat holomorphic bundle on moduli space of riemann surface<---Hilbert space of ge...
評分这可以说是Witten 的文章“ Quantum field theory and the Jones polynomial" 的详细说明。 Witten的文章里面有一个很重要的observation是，the space of conformal blocks = one specific flat holomorphic bundle on moduli space of riemann surface<---Hilbert space of ge...
評分这可以说是Witten 的文章“ Quantum field theory and the Jones polynomial" 的详细说明。 Witten的文章里面有一个很重要的observation是，the space of conformal blocks = one specific flat holomorphic bundle on moduli space of riemann surface<---Hilbert space of ge...
評分这可以说是Witten 的文章“ Quantum field theory and the Jones polynomial" 的详细说明。 Witten的文章里面有一个很重要的observation是，the space of conformal blocks = one specific flat holomorphic bundle on moduli space of riemann surface<---Hilbert space of ge...
評分这可以说是Witten 的文章“ Quantum field theory and the Jones polynomial" 的详细说明。 Witten的文章里面有一个很重要的observation是，the space of conformal blocks = one specific flat holomorphic bundle on moduli space of riemann surface<---Hilbert space of ge...
用戶評價
CFT的概念講得很清楚，也講瞭很多物理的背景。隻是日本人的英文也是有點過於簡潔。希望有時間把第三章看完。
评分CFT的概念講得很清楚，也講瞭很多物理的背景。隻是日本人的英文也是有點過於簡潔。希望有時間把第三章看完。
评分CFT的概念講得很清楚，也講瞭很多物理的背景。隻是日本人的英文也是有點過於簡潔。希望有時間把第三章看完。
评分CFT的概念講得很清楚，也講瞭很多物理的背景。隻是日本人的英文也是有點過於簡潔。希望有時間把第三章看完。
评分Chern-Simons 微擾。
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