Overview
- First introductory text on the subject matter
- Self-contained, tutorial presentation at the graduate level
- Contains exercices and detailed discussions of relevant mathematical notions
Part of the book series: Lecture Notes in Physics (LNP, volume 951)
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Table of contents (5 chapters)
Keywords
About this book
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.
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Authors and Affiliations
About the author
Ilarion Melnikov is an assistant professor in the Department of Physics and Astronomy at James Madison University. His research is in mathematical physics, and his main interests are in quantum field theory and string theory. His recent work has focused on two-dimensional conformal field theory in its relation to geometry and the landscape of heterotic string vacua.
Prof. Melnikov studied at Cornell and at Duke and has been a postdoc at the Enrico Fermi Institute at the University of Chicago, at the Max Planck Institute for Gravitational Physics (the Albert Einstein Institute), the Mitchell Institute for Fundamental Physics and Astronomy at Texas A&M, and most recently in the Department of Mathematics at Harvard.
Bibliographic Information
Book Title: An Introduction to Two-Dimensional Quantum Field Theory with (0,2) Supersymmetry
Authors: Ilarion V. Melnikov
Series Title: Lecture Notes in Physics
DOI: https://doi.org/10.1007/978-3-030-05085-6
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Softcover ISBN: 978-3-030-05083-2Published: 13 February 2019
eBook ISBN: 978-3-030-05085-6Published: 11 February 2019
Series ISSN: 0075-8450
Series E-ISSN: 1616-6361
Edition Number: 1
Number of Pages: XV, 482
Number of Illustrations: 90 b/w illustrations
Topics: Quantum Field Theories, String Theory, Mathematical Applications in the Physical Sciences, Mathematical Methods in Physics, Elementary Particles, Quantum Field Theory