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Six-Dimensional Superconformal Field Theories and Their Torus Compactifications


Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Kantaro Ohmori
    Pages 1-7
  3. Kantaro Ohmori
    Pages 57-111
  4. Kantaro Ohmori
    Pages 113-115

About this book


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.


Superconformal Field Theory Torus Compactifications and Class S Theories Anomaly Cancellation Compactifications of Higgsable Theories Intricate M-Theory Background Supersymmetric Yang-Mills Theory Fractionalization of M5-branes 6d N=(1,0) Theory on a Torus

Authors and affiliations

  1. 1.School of Natural SciencesInstitute for Advanced StudyPrincetonUSA

About the authors

Kantaro Ohmori is a member of the Institute for Advanced Study, USA. He received his Bachelor, Master and Doctor of Science degrees from the University of Tokyo in 2012, 2014 and 2016, respectively. After completing his PhD, he moved to the current institute. His research interests include various issues in string theory and quantum field theory.

Bibliographic information