Six-Dimensional Superconformal Field Theories and Their Torus Compactifications

Download or read book Six-Dimensional Superconformal Field Theories and Their Torus Compactifications written by Kantaro Ohmori and published by Springer. This book was released on 2018-11-03 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis describes the structures of six-dimensional (6d) superconformal field theories and its torus compactifications. The first half summarizes various aspects of 6d field theories, while the latter half investigates torus compactifications of these theories, and relates them to four-dimensional superconformal field theories in the class, called class S. It is known that compactifications of 6d conformal field theories with maximal supersymmetries provide numerous insights into four-dimensional superconformal field theories. This thesis generalizes the story to the theories with smaller supersymmetry, constructing those six-dimensional theories as brane configurations in the M-theory, and highlighting the importance of fractionalization of M5-branes. This result establishes new dualities between the theories with eight supercharges.