Supersymmetric Mechanics - Vol. 2
Supersymmetric Mechanics - Vol. 2

Author: Stefano Bellucci

Publisher:

Published: 2006-09-14

Total Pages: 264

ISBN-13:

DOWNLOAD EBOOK

A series of books on the general theme of Supersymmetric Mechanics. The series is based on lectures and discussions held in 2005 and 2006 at the INFN-Laboratori Nazionali di Frascati. The selected topics include supersymmetry and supergravity, the attractor mechanism, black holes, noncommutative mechanics, super-Hamiltonian formalism and matrix models. All lectures are intended for beginners at the graduate level and nonspecialists from related fields of research and a substantial effort was made to incorporate in the extensive write-ups the results of the animated discussion sessions which followed the individual lectures.

Supersymmetric Mechanics - Vol. 2
Supersymmetric Mechanics - Vol. 2

Author: Stefano Bellucci

Publisher: Springer

Published: 2006-09-11

Total Pages: 249

ISBN-13: 3540341579

DOWNLOAD EBOOK

This is the first volume in a series of books on the general theme of Supersymmetric Mechanics; the series is based on lectures and discussions held in 2005 and 2006 at the INFN-Laboratori Nazionali di Frascati. This volume supplies a pedagogical introduction, at the non-expert level, to the attractor mechanism in space-time singularities. After a qualitative overview, explicit examples realizing the attractor mechanism are treated at length.

Supersymmetric Mechanics - Vol. 3
Supersymmetric Mechanics - Vol. 3

Author: Stefano Bellucci

Publisher: Springer Science & Business Media

Published: 2008-09-25

Total Pages: 379

ISBN-13: 3540795227

DOWNLOAD EBOOK

This is the third volume in a series of books on general topics in supersymmetric mechanics. This collection presents material from the well established international and annual INFN-Laboratori Nazionali di Frascati Winter School on the Attractor Mechanism.

Quantum Cosmology - The Supersymmetric Perspective - Vol. 2
Quantum Cosmology - The Supersymmetric Perspective - Vol. 2

Author: Paulo Vargas Moniz

Publisher: Springer

Published: 2010-04-02

Total Pages: 290

ISBN-13: 3642115705

DOWNLOAD EBOOK

We read in order to know we are not alone, I once heard, and perhaps it could also be suggested that we write in order not to be alone, to endorse, to promote continuity. The idea for this book took about 10 years to materialize, and it is the author’s hope that its content will constitute the beginning of further explorations beyond current horizons. More speci cally, this book appeals to the reader to engage upon and persevere with a journey, moving through the less well explored territories in the evolution of the very early universe, and pushing towards new landscapes. P- haps, during or after consulting this book, this attitude and this willingness will be embraced by someone, somewhere, and this person will go on to enrich our quantum cosmological description of the early universe, by means of a clearer supersymm- ric perspective. It is to these creative and inquisitive ‘young minds’ that the book is addressed. The reader will not therefore nd in this book all the answers to all the problems regarding a supersymmetric and quantum description of the early universe, and this remark is substantiated in the book by a list of unresolved and challenging problems, itself incomplete.

N=2 Supersymmetric Dynamics for Pedestrians
N=2 Supersymmetric Dynamics for Pedestrians

Author: Yuji Tachikawa

Publisher: Springer

Published: 2014-10-15

Total Pages: 236

ISBN-13: 331908822X

DOWNLOAD EBOOK

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 suitable tool for analyzing supersymmetric gauge theories over a larger region of the space of parameters. Supersymmetric quantum field theories in four dimensions with extended N=2 supersymmetry are further constrained and have therefore been a fertile field of research in theoretical physics for quite some time. Moreover, there are far-reaching mathematical ramifications that have led to a successful dialogue with differential and algebraic geometry. These lecture notes aim to introduce students of modern theoretical physics to the fascinating developments in the understanding of N=2 supersymmetric gauge theories in a coherent fashion. Starting with a gentle introduction to electric-magnetic duality, the author guides readers through the key milestones in the field, which include the work of Seiberg and Witten, Nekrasov, Gaiotto and many others. As an advanced graduate level text, it assumes that readers have a working knowledge of supersymmetry including the formalism of superfields, as well as of quantum field theory techniques such as regularization, renormalization and anomalies. After his graduation from the University of Tokyo, Yuji Tachikawa worked at the Institute for Advanced Study, Princeton and the Kavli Institute for Physics and Mathematics of the Universe. Presently at the Department of Physics, University of Tokyo, Tachikawa is the author of several important papers in supersymmetric quantum field theories and string theory.

Supersymmetric Mechanics - Vol. 1
Supersymmetric Mechanics - Vol. 1

Author: Stefano Bellucci

Publisher: Springer

Published: 2006-08-31

Total Pages: 240

ISBN-13: 3540333142

DOWNLOAD EBOOK

This is the first volume in a series of books on the general theme of Supersymmetric Mechanics; the series is based on lectures and discussions held in 2005 and 2006 at the INFN-Laboratori Nazionali di Frascati. The selected topics include supersymmetry and supergravity, the attractor mechanism, black holes, fluxes, noncommutative mechanics, super-Hamiltonian formalism and matrix models. Incorporates in extensive write-ups the results of animated discussion sessions which followed the individual lectures.

Black Objects in Supergravity
Black Objects in Supergravity

Author: Stefano Bellucci

Publisher: Springer Science & Business Media

Published: 2013-07-20

Total Pages: 362

ISBN-13: 3319002155

DOWNLOAD EBOOK

This is the sixth volume in a series of books on the general topics of supersymmetry, supergravity, black holes and the attractor mechanism. The present volume is based upon lectures held in May 2011 at the INFN-Laboratori Nazionali di Frascati School on Black Objects in Supergravity (BOSS2011), directed by Stefano Bellucci, with the participation of prestigious lecturers, including G. Lopes Cardoso, W. Chemissany, T. Ortin, J. Perz, O. Vaughan, D. Turton, L. Lusanna and S. Ferrara. All lectures were at a pedagogical, introductory level, a feature which is reflected in the specific "flavor" of this volume, which also benefited greatly from extensive discussions and related reworking of the various contributions.

Quantum Field Theory III: Gauge Theory
Quantum Field Theory III: Gauge Theory

Author: Eberhard Zeidler

Publisher: Springer Science & Business Media

Published: 2011-08-17

Total Pages: 1141

ISBN-13: 3642224210

DOWNLOAD EBOOK

In this third volume of his modern introduction to quantum field theory, Eberhard Zeidler examines the mathematical and physical aspects of gauge theory as a principle tool for describing the four fundamental forces which act in the universe: gravitative, electromagnetic, weak interaction and strong interaction. Volume III concentrates on the classical aspects of gauge theory, describing the four fundamental forces by the curvature of appropriate fiber bundles. This must be supplemented by the crucial, but elusive quantization procedure. The book is arranged in four sections, devoted to realizing the universal principle force equals curvature: Part I: The Euclidean Manifold as a Paradigm Part II: Ariadne's Thread in Gauge Theory Part III: Einstein's Theory of Special Relativity Part IV: Ariadne's Thread in Cohomology For students of mathematics the book is designed to demonstrate that detailed knowledge of the physical background helps to reveal interesting interrelationships among diverse mathematical topics. Physics students will be exposed to a fairly advanced mathematics, beyond the level covered in the typical physics curriculum. Quantum Field Theory builds a bridge between mathematicians and physicists, based on challenging questions about the fundamental forces in the universe (macrocosmos), and in the world of elementary particles (microcosmos).

Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields
Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields

Author: Asao Arai

Publisher: Springer Nature

Published: 2022-10-18

Total Pages: 123

ISBN-13: 9811956782

DOWNLOAD EBOOK

This book explains the mathematical structures of supersymmetric quantum field theory (SQFT) from the viewpoints of functional and infinite-dimensional analysis. The main mathematical objects are infinite-dimensional Dirac operators on the abstract Boson–Fermion Fock space. The target audience consists of graduate students and researchers who are interested in mathematical analysis of quantum fields, including supersymmetric ones, and infinite-dimensional analysis. The major topics are the clarification of general mathematical structures that some models in the SQFT have in common, and the mathematically rigorous analysis of them. The importance and the relevance of the subject are that in physics literature, supersymmetric quantum field models are only formally (heuristically) considered and hence may be ill-defined mathematically. From a mathematical point of view, however, they suggest new aspects related to infinite-dimensional geometry and analysis. Therefore, it is important to show the mathematical existence of such models first and then study them in detail. The book shows that the theory of the abstract Boson–Fermion Fock space serves this purpose. The analysis developed in the book also provides a good example of infinite-dimensional analysis from the functional analysis point of view, including a theory of infinite-dimensional Dirac operators and Laplacians.

The Attractor Mechanism
The Attractor Mechanism

Author: Stefano Bellucci

Publisher: Springer Science & Business Media

Published: 2010-06-29

Total Pages: 355

ISBN-13: 3642107362

DOWNLOAD EBOOK

This book is based upon lectures presented in June 2007 at the INFN-Laboratori Nazionali di Frascati School on Attractor Mechanism, directed by Stefano Bellucci. The symposium included such prestigious lecturers as S. Ferrara, M. Günaydin, P. Levay, and T. Mohaupt. All lectures were given at a pedagogical, introductory level, which is reflected in the specific "flavor" of this volume. The book also benefits from extensive discussions about, and related reworking of, the various contributions. In addition, this volume contains contributions originating from short presentations of recent original results and an essay on the relation between complexity science and high-energy physics by A. Zichichi. It is the fourth volume in a series of books on the general topics of supersymmetry, supergravity, black holes and the attractor mechanism.