Overview

What is Supersymmetry? Is it something real? If not, can it be useful in any way? This book, structured as a textbook for a one semester graduate course on supersymmetry, provides an introduction to this fascinating subject and seeks to answer these questions.Theoretically oriented, the book briefly sketches phenomenological aspects to the extent that they serve the logical flow. This choice, influenced primarily by the author's own taste and expertise, is also befitting of the status of present-day research where supersymmetry phenomenology is somewhat sleepy, in anticipation of experimental signals at colliders (or elsewhere). On the other hand, remarkable progress has recently been made on more formal aspects, urging for a pedagogical introduction on topics which were popular in the 1990's and early 2000's, and are a prerequisite for tackling today's cutting-edge research.Roughly divided into three parts, the book begins with supersymmetry algebra and its representations, and introduces the superfield formalism. The second part focuses on the construction of supersymmetric field theories; it includes an overview on non-renormalization theorems, the analysis of several examples of tree-level supersymmetry breaking and a discussion of the basic structure of supersymmetric models beyond the Standard Model physics. The third part discusses the quantum behavior of supersymmetric (gauge) theories, in which holomorphy and dualities play a prominent role. The reader will become familiar with topics like Seiberg duality, dynamical supersymmetry breaking (both in stable and metastable vacua), Seiberg-Witten theory, existence of Argyres-Douglas fixed points, S-duality and more. Several exercises at the end of each chapter will allow readers to test their understanding, discuss some extensions, or prove statements from the main text.

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