Conformal Field Theory with Gauge Symmetry is popular PDF and ePub book, written by Kenji Ueno in 2008, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Conformal Field Theory with Gauge Symmetry can be Read Online from any device for your convenience.
Conformal Field Theory with Gauge Symmetry Book PDF Summary
This book presents a systematic approach to conformal field theory with gauge symmetry from the point of view of complex algebraic geometry. After presenting the basic facts of the theory of compact Riemann surfaces and the representation theory of affine Lie algebras in Chapters 1 and 2, conformal blocks for pointed Riemann surfaces with coordinates are constructed in Chapter 3. In Chapter 4 the sheaf of conformal blocks associated to a family of pointed Riemann surfaces withcoordinates is constructed, and in Chapter 5 it is shown that this sheaf supports a projective flat connection-one of the most important facts of conformal field theory. Chapter 6 is devoted to the study of the detailed structure of the conformal field theory over $\mathbb{P}1$.Recently it was shown that modular functors can be constructed from conformal field theory, giving an interesting relationship between algebraic geometry and topological quantum field theory. This book provides a timely introduction to an intensively studied topic of conformal field theory with gauge symmetry by a leading algebraic geometer, and includes all the necessary techniques and results that are used to construct the modular functor.
Detail Book of Conformal Field Theory with Gauge Symmetry PDF
- Author : Kenji Ueno
- Release : 30 September 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821840887
- Genre : Mathematics
- Total Page : 178 pages
- Language : English
- PDF File Size : 15,9 Mb
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