El. knyga: Supersymmetry: From The Basics To Exact Results In Gauge Theories

"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 inclined in its contents - a choice influenced by the author's own taste and expertise - this book is motivated by the status of present-day research where supersymmetry phenomenology is relatively dormant, awaiting experimental signals at colliders (or elsewhere), but remarkable progress has been made on more formal aspects. This urges for a pedagogical introduction on topics which were developed a few decades ago and were very popular at that time, and which 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, 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"-- Provided by publisher.