N=2 Supersymmetric Dynamics for Pedestrians

• Main Author: Tachikawa, Yuji (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Series: Lecture Notes in Physics, 890
• Subjects: Physics.; Mathematical physics.; Quantum field theory.; String theory.; Gravitation.; Nuclear physics.; Quantum Field Theories, String Theory.; Mathematical Physics.; Classical and Quantum Gravitation, Relativity Theory.; Particle and Nuclear Physics.

Understanding the dynamics of gauge theories is crucial, given the fact that all known interactions are based on the principle of local gauge symmetry. Beyond the perturbative regime, however, this is a notoriously difficult problem. Requiring invariance under supersymmetry turns out to be a suitabl...

Table of Contents:

• Introduction
• Electromagnetic Duality and monopoles
• N=2 Multiplets and Lagrangians
• Renormalization and Anomaly
• Seiberg-Witten Solution to Pure SU(2) Theory
• SU(2) Theory With one Flavor
• Curves and 6d N=2;0) theory
• Higgs Brances and Hyperkähler Manifolds
• SU (2) Theory With 2 and 3 Flavors
• SU (2) Theory With 4 Flavors and Gaiotto`s Duality
• Argyres-Douglas CFTs
• Theories With Other Simple Gauge Groups
• Argyres-Seiberg-Gaiotto Duality for SU (N) Theory
• Conclusions and Further Directions
• Prepotential and the Instanton Computation
• The Zoo of N=2 Theories.