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Six-Dimensional Superconformal Field Theories and Their Torus Compactifications (Hardcover, 1st ed. 2018)
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Six-Dimensional Superconformal Field Theories and Their Torus Compactifications (Hardcover, 1st ed. 2018)
Series: Springer Theses
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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.
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