Handbook of Pseudo-Riemannian Geometry and Supersymmetry

Handbook of Pseudo-Riemannian Geometry and Supersymmetry
Author: Vicente Cortés
Publisher: European Mathematical Society
Total Pages: 972
Release: 2010
Genre: Geometry, Riemannian
ISBN: 9783037190791

The purpose of this handbook is to give an overview of some recent developments in differential geometry related to supersymmetric field theories. The main themes covered are: Special geometry and supersymmetry Generalized geometry Geometries with torsion Para-geometries Holonomy theory Symmetric spaces and spaces of constant curvature Conformal geometry Wave equations on Lorentzian manifolds D-branes and K-theory The intended audience consists of advanced students and researchers working in differential geometry, string theory, and related areas. The emphasis is on geometrical structures occurring on target spaces of supersymmetric field theories. Some of these structures can be fully described in the classical framework of pseudo-Riemannian geometry. Others lead to new concepts relating various fields of research, such as special Kahler geometry or generalized geometry.

The Quantum Theory of Fields: Volume 3, Supersymmetry

The Quantum Theory of Fields: Volume 3, Supersymmetry
Author: Steven Weinberg
Publisher: Cambridge University Press
Total Pages: 514
Release: 2005-05-09
Genre: Science
ISBN: 1139643436

In this third volume of The Quantum Theory of Fields, available for the first time in paperback, Nobel Laureate Steven Weinberg continues his masterly exposition of quantum field theory. This volume presents a self-contained, up-to-date and comprehensive introduction to supersymmetry, a highly active area of theoretical physics. The text introduces and explains a broad range of topics, including supersymmetric algebras, supersymmetric field theories, extended supersymmetry, supergraphs, non-perturbative results, theories of supersymmetry in higher dimensions, and supergravity. A thorough review is given of the phenomenological implications of supersymmetry, including theories of both gauge and gravitationally-mediated supersymmetry breaking. Also provided is an introduction to mathematical techniques, based on holomorphy and duality, that have proved so fruitful in recent developments. This book contains much material not found in other books on supersymmetry, including previously unpublished results. Exercises are included.

Introduction To Supersymmetry (2nd Edition)

Introduction To Supersymmetry (2nd Edition)
Author: Harald J W Muller-kirsten
Publisher: World Scientific Publishing Company
Total Pages: 452
Release: 2010-01-21
Genre: Science
ISBN: 9813100966

Supersymmetry is a symmetry which combines bosons and fermions in the same multiplet of a larger group which unites the transformations of this symmetry with that of spacetime. Thus every bosonic particle must have a fermionic partner and vice versa. Since this is not what is observed, this symmetry with inherent theoretical advantages must be badly broken. It is hoped that the envisaged collider experiments at CERN will permit a first experimental test, which is expected to revive the interest in supersymmetry considerably.This revised edition of the highly successful text of 20 years ago provides an introduction to supersymmetry, and thus begins with a substantial chapter on spacetime symmetries and spinors. Following this, graded algebras are introduced, and thereafter the supersymmetric extension of the spacetime Poincaré algebra and its representations. The Wess-Zumino model, superfields, supersymmetric Lagrangians, and supersymmetric gauge theories are treated in detail in subsequent chapters. Finally the breaking of supersymmetry is addressed meticulously. All calculations are presented in detail so that the reader can follow every step.

Structure: From Physics To General Systems - Festschrift Volume In Honor Of E R Caianiello On His Seventieth Birthday (In 2 Volumes)

Structure: From Physics To General Systems - Festschrift Volume In Honor Of E R Caianiello On His Seventieth Birthday (In 2 Volumes)
Author: Maria Marinaro
Publisher: World Scientific
Total Pages: 836
Release: 1993-02-23
Genre: Science
ISBN: 9814553417

This Festschrift volume in honour of Prof. E R Caianiello contains invited papers of eminent scientists who have worked in the several areas to which Prof. Caianiello has given seminal contributions: quantum field theory, foundations of quantum mechanics and maximal acceleration (Vol. 1); neural nets, general systems theory and various topics of cybernetics (Vol. 2). The wide range of topics covered shows the fruitfulness of a higher unifying perspective on seemingly diverse subjects.

Supersymmetry: Structure and Phenomena

Supersymmetry: Structure and Phenomena
Author: Nir Polonsky
Publisher: Springer Science & Business Media
Total Pages: 161
Release: 2003-07-01
Genre: Science
ISBN: 3540446427

The book is a fairly non-technical introduction to modern supersymmetry phenomenology, approaching the subject in new and unique ways. It is suitable both for theorists and experimentalists, and emphasizes an intuitive grasp of the subject. Theoretical and experimental motivations, and the status and prospects of low-energy supersymmetry are discussed. It is shown by explicit construction that the stabilization of any perturbative theory which contains fundamental scalar bosons naturally leads to the notion of supersymmetry. The minimal supersymmetric extension of the standard model is then pedagogically defined and its experimental status is summarized. Renormalization of the models, including unificaiton, is discussed and the linkage between high and low energies is demonstrated, providing a potential probe of Planck-scale physics, such as unified theories. Besides a host of other phenomena, Higgs physics is discussed and the Higgs mass is shown to provide a crucial test of nearly all supersymmetric theories.