عنوان

Six-dimensional superconformal field theories and their torus compactifications /

9789811330926

9811330921

9789811330919

9811330913

Six-dimensional superconformal field theories and their torus compactifications /

[Book]

Kantaro Ohmori.

Singapore :

Springer,

2018.

1 online resource (xii, 115 pages) :

illustrations

Springer theses,

2190-5053

"Doctoral thesis accepted by the University of Tokyo, Tokyo, Japan."

Includes bibliographical references.

Intro; Supervisor's Foreword; Parts of this thesis have been published in the following journal articles:; Acknowledgements; Contents; 1 Introduction; 1.1 Motivation; 1.1.1 General Motivation; 1.1.2 Another Reason: Compactification; 1.1.3 What will be Actually Studied in This Thesis; 1.2 Structure of the Thesis and Rough Summary; 1.3 General Notations and Remarks; References; 2 Six-Dimensional Superconformal Field Theories; 2.1 IR Effective Spectrum and Tensor Branch Anomaly Matching; 2.1.1 N=(1,0) Supermultiplets; 2.1.2 Tensor Branch Effective Theory and Green-Schwartz Topological Coupling.

2.1.3 Anomaly Matching2.1.4 Non-generic Point of Tensor Branch; 2.2 Six-Dimensional N=(2,0) Theories; 2.2.1 N=(2,0) Theories of Type A, D from M5-Branes; 2.2.2 N=(2,0) Theories of Type A, D, E from Orbifold Singularities in Type IIB String; 2.2.3 Anomaly Polynomials for N=(2,0) Theories; 2.3 E-String Theory; 2.3.1 Heterotic M-Theory Description of E-String Theory; 2.3.2 Anomaly Polynomials for E-String Theories; 2.4 Conformal Matters; 2.4.1 (A, A) Conformal Matter; 2.4.2 (D, D) Conformal Matter; 2.4.3 (E, E) Conformal Matter; 2.4.4 Circle Compactification and Generalized Base-Fiber Duality.

2.4.5 Closing the Flavors of (A, A) Conformal Matters2.5 Higgsable to E-String Theories; 2.5.1 M-Theory Construction; 2.5.2 Type I' Description for Cases with SU Gauge Groups; References; 3 Circle and Torus Compactifications; 3.1 Compactification of Very-Higgsable Theories: E-String Theories and Minimal Conformal Matters; 3.1.1 General Properties and Central Charges of Torus Compactified 6d SCFTs; 3.1.2 Torus Compactifications of Minimal Conformal Matters and Class S; 3.2 Compactification of Theories Higgsable to E-String Theories; 3.2.1 IIB Web Diagrams; 3.2.2 4d Conformal Anomalies.

3.3 Compactification of Theories Higgsable to N=(2,0) Theories3.3.1 General Structure of Theories Higgsable to N=(2,0) Theories; 3.3.2 Conformal Matters and Class S Theories: Type A; 3.3.3 Conformal Matters and Class S Theories, General Type; References; 4 Conclusion; 4.1 Recapitulation and Summary; 4.2 Future Directions; References.

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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.

Springer Nature

com.springer.onix.9789811330926

Six-dimensional superconformal field theories and their torus compactifications.

9789811330919

Compactifications.

Field theory (Physics)

Compactifications.

Field theory (Physics)

SCIENCE-- Energy.

SCIENCE-- Mechanics-- General.

SCIENCE-- Physics-- General.

PHS

PHS

SCI-- 024000

SCI-- 041000

SCI-- 055000

Ohmori, Kantaro

20200823234748.0

pn

[Book]

Y