An Introduction to Symmetry and Supersymmetry in Quantum Field Theory
Title | An Introduction to Symmetry and Supersymmetry in Quantum Field Theory PDF eBook |
Author | Jan T. ?opusza?ski |
Publisher | World Scientific |
Pages | 400 |
Release | 1991 |
Genre | Science |
ISBN | 9789971501617 |
This is a set of lecture notes given by the author at the Universities of Gttingen and Wroclaw. The text presents the axiomatic approach to field theory and studies in depth the concepts of symmetry and supersymmetry and their associated generators, currents and charges. It is intended as a one-semester course for graduate students in the field of mathematical physics and high energy physics.
Introduction to Supersymmetry
Title | Introduction to Supersymmetry PDF eBook |
Author | Peter G. O. Freund |
Publisher | Cambridge University Press |
Pages | 168 |
Release | 1986 |
Genre | Science |
ISBN | 9780521356756 |
A brief introductory description of the new physical and mathematical ideas involved in formulating supersymmetric theories. The basic ideas are worked out in low space dimensionalities and techniques where the formulae do not obscure the concepts.
An Introduction to Two-Dimensional Quantum Field Theory with (0,2) Supersymmetry
Title | An Introduction to Two-Dimensional Quantum Field Theory with (0,2) Supersymmetry PDF eBook |
Author | Ilarion V. Melnikov |
Publisher | Springer |
Pages | 482 |
Release | 2019-02-11 |
Genre | Science |
ISBN | 3030050858 |
This book introduces two-dimensional supersymmetric field theories with emphasis on both linear and non-linear sigma models. Complex differential geometry, in connection with supersymmetry, has played a key role in most developments of the last thirty years in quantum field theory and string theory. Both structures introduce a great deal of rigidity compared to the more general categories of non-supersymmetric theories and real differential geometry, allowing for many general conceptual results and detailed quantitative predictions. Two-dimensional (0,2) supersymmetric quantum field theories provide a natural arena for the fruitful interplay between geometry and quantum field theory. These theories play an important role in string theory and provide generalizations, still to be explored fully, of rich structures such as mirror symmetry. They also have applications to non-perturbative four-dimensional physics, for instance as descriptions of surface defects or low energy dynamics of solitonic strings in four-dimensional supersymmetric theories. The purpose of these lecture notes is to acquaint the reader with these fascinating theories, assuming a background in conformal theory, quantum field theory and differential geometry at the beginning graduate level. In order to investigate the profound relations between structures from complex geometry and field theory the text begins with a thorough examination of the basic structures of (0,2) quantum field theory and conformal field theory. Next, a simple class of Lagrangian theories, the (0,2) Landau-Ginzburg models, are discussed, together with the resulting renormalization group flows, dynamics, and symmetries. After a thorough introduction and examination of (0,2) non-linear sigma models, the text introduces linear sigma models that, in particular, provide a unified treatment of non-linear sigma models and Landau-Ginzburg theories. Many exercises, along with discussions of relevant mathematical notions and important open problems in the field, are included in the text.
An Introduction to Symmetry and Supersymmetry in Quantum Field Theory
Title | An Introduction to Symmetry and Supersymmetry in Quantum Field Theory PDF eBook |
Author | Jan T. Łopuszański |
Publisher | World Scientific Publishing Company Incorporated |
Pages | 373 |
Release | 1991 |
Genre | Science |
ISBN | 9789971501600 |
Supersymmetry in Particle Physics
Title | Supersymmetry in Particle Physics PDF eBook |
Author | Ian Aitchison |
Publisher | Cambridge University Press |
Pages | 214 |
Release | 2007-09-20 |
Genre | Science |
ISBN | 1139467050 |
Supersymmetry represents the culmination of the search for fundamental symmetries that has dominated particle physics for 50 years. Traditionally, the constituents of matter (fermions) were regarded as different from the particles (bosons) transmitting the forces between them. In supersymmetry, fermions and bosons are unified. Intended for graduate students in particle physics, and researchers in experimental and phenomenological supersymmetry, this textbook, first published in 2007, provides a simple introduction to a previously formidably technical field. Its elementary, practical treatment brings readers to the frontier of contemporary research, in particular the experiments at the Large Hadron Collider. Theories are constructed through an intuitive 'trial and error' approach. Basic elements of spinor formalism and superfields are introduced, allowing readers to access more advanced treatments. Emphasis is placed on physical understanding, and on detailed derivations of important steps. Many short exercises are included, making for a valuable and accessible self-study tool.
Quantum Field Theory, Supersymmetry, and Enumerative Geometry
Title | Quantum Field Theory, Supersymmetry, and Enumerative Geometry PDF eBook |
Author | Daniel S. Freed |
Publisher | American Mathematical Soc. |
Pages | 297 |
Release | 2006 |
Genre | Mathematics |
ISBN | 0821834312 |
This volume presents three weeks of lectures given at the Summer School on Quantum Field Theory, Supersymmetry, and Enumerative Geometry. With this volume, the Park City Mathematics Institute returns to the general topic of the first institute: the interplay between quantum field theory and mathematics.
Supersymmetry for Mathematicians: An Introduction
Title | Supersymmetry for Mathematicians: An Introduction PDF eBook |
Author | V. S. Varadarajan |
Publisher | American Mathematical Soc. |
Pages | 311 |
Release | 2004 |
Genre | Mathematics |
ISBN | 0821835742 |
An special feature of the book is the treatment in depth of the theory of spinors in all dimensions and signatures, which is the basis of all developments of supergeometry both in physics and mathematics, especially in quantum field theory and supergravity."--Jacket.