Softcover ISBN:  9780821849224 
Product Code:  CBMS/111 
List Price:  $38.00 
Individual Price:  $30.40 
Electronic ISBN:  9781470415693 
Product Code:  CBMS/111.E 
List Price:  $35.00 
MAA Member Price:  $31.50 
AMS Member Price:  $28.00 

Book DetailsCBMS Regional Conference Series in MathematicsVolume: 111; 2009; 110 ppMSC: Primary 81; Secondary 19; 46; 58; 55; 14; 53;
String theory is the leading candidate for a physical theory that combines all the fundamental forces of nature, as well as the principles of relativity and quantum mechanics, into a mathematically elegant whole. The mathematical tools used by string theorists are highly sophisticated, and cover many areas of mathematics. As with the birth of quantum theory in the early 20th century, the mathematics has benefited at least as much as the physics from the collaboration. In this book, based on CBMS lectures given at Texas Christian University, Rosenberg describes some of the most recent interplay between string dualities and topology and operator algebras.
The book is an interdisciplinary approach to duality symmetries in string theory. It can be read by either mathematicians or theoretical physicists, and involves a moreorless equal mixture of algebraic topology, operator algebras, and physics. There is also a bit of algebraic geometry, especially in the last chapter. The reader is assumed to be somewhat familiar with at least one of these four subjects, but not necessarily with all or even most of them. The main objective of the book is to show how several seemingly disparate subjects are closely linked with one another, and to give readers an overview of some areas of current research, even if this means that not everything is covered systematically.A copublication of the AMS and CBMS.
ReadershipGraduate students and research mathematicians interested in mathematical physics, particularly string theory; topology; C*algebras.

Table of Contents

Chapters

Chapter 1. Introduction and motivation

Chapter 2. $K$theory and its relevance to physics

Chapter 3. A few basics of $C$*algebras and crossed products

Chapter 4. Continuoustrace algebras and twisted $K$theory

Chapter 5. More on crossed products and their $K$theory

Chapter 6. The topology of Tduality and the BunkeSchick construction

Chapter 7. Tduality via crossed products

Chapter 8. Higherdimensional Tduality via topological methods

Chapter 9. Higherdimensional Tduality via $C$*algebraic methods

Chapter 10. Advanced topics and open problems


Additional Material

Reviews

Rosenberg manages to state the main results, give the most illuminating examples and explain the most important ideas of the proofs. It can be highly recommended as a concise introduction to the subjects [discussed in this book].
Mathematical Reviews


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String theory is the leading candidate for a physical theory that combines all the fundamental forces of nature, as well as the principles of relativity and quantum mechanics, into a mathematically elegant whole. The mathematical tools used by string theorists are highly sophisticated, and cover many areas of mathematics. As with the birth of quantum theory in the early 20th century, the mathematics has benefited at least as much as the physics from the collaboration. In this book, based on CBMS lectures given at Texas Christian University, Rosenberg describes some of the most recent interplay between string dualities and topology and operator algebras.
The book is an interdisciplinary approach to duality symmetries in string theory. It can be read by either mathematicians or theoretical physicists, and involves a moreorless equal mixture of algebraic topology, operator algebras, and physics. There is also a bit of algebraic geometry, especially in the last chapter. The reader is assumed to be somewhat familiar with at least one of these four subjects, but not necessarily with all or even most of them. The main objective of the book is to show how several seemingly disparate subjects are closely linked with one another, and to give readers an overview of some areas of current research, even if this means that not everything is covered systematically.
A copublication of the AMS and CBMS.
Graduate students and research mathematicians interested in mathematical physics, particularly string theory; topology; C*algebras.

Chapters

Chapter 1. Introduction and motivation

Chapter 2. $K$theory and its relevance to physics

Chapter 3. A few basics of $C$*algebras and crossed products

Chapter 4. Continuoustrace algebras and twisted $K$theory

Chapter 5. More on crossed products and their $K$theory

Chapter 6. The topology of Tduality and the BunkeSchick construction

Chapter 7. Tduality via crossed products

Chapter 8. Higherdimensional Tduality via topological methods

Chapter 9. Higherdimensional Tduality via $C$*algebraic methods

Chapter 10. Advanced topics and open problems

Rosenberg manages to state the main results, give the most illuminating examples and explain the most important ideas of the proofs. It can be highly recommended as a concise introduction to the subjects [discussed in this book].
Mathematical Reviews