An Introduction to Two Dimensional Quantum Field Theory with 0 2 Supersymmetry is popular PDF and ePub book, written by Ilarion V. Melnikov in 2019-02-11, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, An Introduction to Two Dimensional Quantum Field Theory with 0 2 Supersymmetry can be Read Online from any device for your convenience.
An Introduction to Two Dimensional Quantum Field Theory with 0 2 Supersymmetry Book PDF Summary
This book introduces two-dimensional supersymmetric field theories with emphasis on both linear and non-linear sigma models. Complex differential geometry, in connection with supersymmetry, has played a key role in most developments of the last thirty years in quantum field theory and string theory. Both structures introduce a great deal of rigidity compared to the more general categories of non-supersymmetric theories and real differential geometry, allowing for many general conceptual results and detailed quantitative predictions. Two-dimensional (0,2) supersymmetric quantum field theories provide a natural arena for the fruitful interplay between geometry and quantum field theory. These theories play an important role in string theory and provide generalizations, still to be explored fully, of rich structures such as mirror symmetry. They also have applications to non-perturbative four-dimensional physics, for instance as descriptions of surface defects or low energy dynamics of solitonic strings in four-dimensional supersymmetric theories. The purpose of these lecture notes is to acquaint the reader with these fascinating theories, assuming a background in conformal theory, quantum field theory and differential geometry at the beginning graduate level. In order to investigate the profound relations between structures from complex geometry and field theory the text begins with a thorough examination of the basic structures of (0,2) quantum field theory and conformal field theory. Next, a simple class of Lagrangian theories, the (0,2) Landau-Ginzburg models, are discussed, together with the resulting renormalization group flows, dynamics, and symmetries. After a thorough introduction and examination of (0,2) non-linear sigma models, the text introduces linear sigma models that, in particular, provide a unified treatment of non-linear sigma models and Landau-Ginzburg theories. Many exercises, along with discussions of relevant mathematical notions and important open problems in the field, are included in the text.
Detail Book of An Introduction to Two Dimensional Quantum Field Theory with 0 2 Supersymmetry PDF
- Author : Ilarion V. Melnikov
- Release : 11 February 2019
- Publisher : Springer
- ISBN : 9783030050856
- Genre : Science
- Total Page : 482 pages
- Language : English
- PDF File Size : 15,7 Mb
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