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N2 Wonderland The From Calabi Yau Manifolds To Topological Field Theories
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Book Synopsis N=2 Wonderland, The: From Calabi-yau Manifolds To Topological Field Theories by : Pietro Fre
Download or read book N=2 Wonderland, The: From Calabi-yau Manifolds To Topological Field Theories written by Pietro Fre and published by World Scientific. This book was released on 1995-07-14 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents, in a unifying perspective, the topics related to N=2 supersymmetry in two dimensions. Beginning with the Kähler structure of D=4 supergravity Lagrangians, through the analysis of string compactifications on Calabi-Yau manifolds, one reaches the heart of the matter with the chiral ring structure of N=2 conformal field theories and its relation to topological field theory models and Landau-Ginzburg models. In addition, mirror symmetry, topological twists and Picard-Fuchs equations are discussed.
Book Synopsis Naturalness, String Landscape and Multiverse by : Arthur Hebecker
Download or read book Naturalness, String Landscape and Multiverse written by Arthur Hebecker and published by Springer Nature. This book was released on 2021-03-26 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a string-theoretic approach to new ideas in particle physics, also known as Physics Beyond the Standard Model, and to cosmology. The concept of Naturalness and its apparent violation by the low electroweak scale and the small cosmological constant is emphasized. It is shown that string theory, through its multitude of solutions, known as the landscape, offers a partial resolution to these naturalness problems as well as suggesting more speculative possibilities like that of a multiverse. The book is based on a one-semester course, as such, it has a pedagogical approach, is self-contained and includes many exercises with solutions. Notably, the basics of string theory are introduced as part of the lectures. These notes are aimed at graduate students with a solid background in quantum field theory, as well as at young researchers from theoretical particle physics to mathematical physics. This text also benefits students who are in the process of studying string theory at a deeper level. In this case, the volume serves as additional reading beyond a formal string theory course.
Book Synopsis Quaternionic Structures in Mathematics and Physics by : Stefano Marchiafava
Download or read book Quaternionic Structures in Mathematics and Physics written by Stefano Marchiafava and published by World Scientific. This book was released on 2001 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last five years, after the first meeting on OC Quaternionic Structures in Mathematics and PhysicsOCO, interest in quaternionic geometry and its applications has continued to increase. Progress has been made in constructing new classes of manifolds with quaternionic structures (quaternionic Knhler, hyper-Knhler, hyper-complex, etc.), studying the differential geometry of special classes of such manifolds and their submanifolds, understanding relations between the quaternionic structure and other differential-geometric structures, and also in physical applications of quaternionic geometry. Some generalizations of classical quaternion-like structures (like HKT structures and hyper-Knhler manifolds with singularities) appeared naturally and were studied. Some of those results are published in this book. Contents: Hypercomplex Structures on Special Classes of Nilpotent and Solvable Lie Groups (M L Barberis); Twistor Quotients of HyperKnhler Manifolds (R Bielawski); Quaternionic Contact Structures (O Biquard); A New Construction of Homogeneous Quaternionic Manifolds and Related Geometric Structures (V Cortes); Quaternion Knhler Flat Manifolds (I G Dotti); A Canonical HyperKnhler Metric on the Total Space of a Cotangent Bundle (D Kaledin); Special Spinors and Contact Geometry (A Moroianu); Brane Solitons and Hypercomplex Structures (G Papadopoulos); Hypercomplex Geometry (H Pedersen); Examples of HyperKnhler Connections with Torsion (Y S Poon); A New Weight System on Chord Diagrams via HyperKnhler Geometry (J Sawon); Vanishing Theorems for Quaternionic Knhler Manifolds (U Semmelmann & G Weingart); Weakening Holonomy (A Swann); Special Knhler Geometry (A Van Proeyen); Singularities in HyperKnhler Geometry (M Verbitsky); and other papers. Readership: Researchers and graduate students in geometry, topology, mathematical physics and theoretical physics."
Book Synopsis Quantum Field Theory III: Gauge Theory by : Eberhard Zeidler
Download or read book Quantum Field Theory III: Gauge Theory written by Eberhard Zeidler and published by Springer Science & Business Media. This book was released on 2011-08-17 with total page 1141 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Book Synopsis Quantum Field Theory I: Basics in Mathematics and Physics by : Eberhard Zeidler
Download or read book Quantum Field Theory I: Basics in Mathematics and Physics written by Eberhard Zeidler and published by Springer Science & Business Media. This book was released on 2007-04-18 with total page 1060 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists, at levels ranging from advanced undergraduate students to professional scientists. The book bridges the acknowledged gap between the different languages used by mathematicians and physicists. For students of mathematics the author shows that detailed knowledge of the physical background helps to motivate the mathematical subjects and to discover interesting interrelationships between quite different mathematical topics. For students of physics, fairly advanced mathematics is presented, which goes beyond the usual curriculum in physics.
Book Synopsis Introduction to Supersymmetric Field Theory by : Sergio M. Kuzenko
Download or read book Introduction to Supersymmetric Field Theory written by Sergio M. Kuzenko and published by CRC Press. This book was released on 1998-01-01 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideas and Methods of Supersymmetry and Supergravity: Or a Walk Through Superspace provides a comprehensive, detailed, and self-contained account of four dimensional simple supersymmetry and supergravity. Throughout the book, the authors cultivate their material in detail with calculations and full discussions of the fundamental ideas and motivations. They develop the subject in its superfield formulations but where appropriate for illustration, analogy, and comparison with conventional field theory, they use the component formulation. The book discusses many subjects that, until now, can only be found in the research literature. In addition, it presents a plethora of new results. Combining classical and quantum field theory with group theory, differential geometry, and algebra, the book begins with a solid mathematical background that is used in the rest of the book. The next chapter covers algebraic aspects of supersymmetry and the concepts of superspace and superfield. In the following chapters, the book presents classical and quantum superfield theory and the superfield formulation of supergravity. A synthesis of results and methods developed in the book, the final chapter concludes with the theory of effective action in curved superspaces. After studying this book, readers should be well prepared to pursue independent research in any area of supersymmetry and supergravity. It will be an indispensable source of reference for advanced graduate students, postdoctoral faculty, and researchers involved in quantum field theory, high energy physics, gravity theory, mathematical physics, and applied mathematics.
Download or read book The N written by P. Fr and published by World Scientific. This book was released on 1995 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents, in a unifying perspective, the topics related to N=2 supersymmetry in two dimensions. Beginning with the Khler structure of D=4 supergravity Lagrangians, through the analysis of string compactifications on Calabi-Yau manifolds, one reaches the heart of the matter with the chiral ring structure of N=2 conformal field theories and its relation to topological field theory models and Landau-Ginzburg models. In addition, mirror symmetry, topological twists and Picard-Fuchs equations are discussed.
Book Synopsis N = 2 Supergravity in D = 4, 5, 6 Dimensions by : Edoardo Lauria
Download or read book N = 2 Supergravity in D = 4, 5, 6 Dimensions written by Edoardo Lauria and published by Springer Nature. This book was released on 2020-03-11 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level primer presents a tutorial introduction to and overview of N = 2 supergravity theories - with 8 real supercharges and in 4, 5 and 6 dimensions. First, the construction of such theories by superconformal methods is explained in detail, and relevant special geometries are obtained and characterized. Following, the relation between the supergravity theories in the various dimensions is discussed. This leads eventually to the concept of very special geometry and quaternionic-Kähler manifolds. This concise text is a valuable resource for graduate students and young researchers wishing to enter the field quickly and efficiently.
Book Synopsis Gravity, a Geometrical Course by : Pietro Giuseppe Frè
Download or read book Gravity, a Geometrical Course written by Pietro Giuseppe Frè and published by Springer Science & Business Media. This book was released on 2012-10-24 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: ‘Gravity, a Geometrical Course’ presents general relativity (GR) in a systematic and exhaustive way, covering three aspects that are homogenized into a single texture: i) the mathematical, geometrical foundations, exposed in a self consistent contemporary formalism, ii) the main physical, astrophysical and cosmological applications, updated to the issues of contemporary research and observations, with glimpses on supergravity and superstring theory, iii) the historical development of scientific ideas underlying both the birth of general relativity and its subsequent evolution. The book is divided in two volumes. Volume Two is covers black holes, cosmology and an introduction to supergravity. The aim of this volume is two-fold. It completes the presentation of GR and it introduces the reader to theory of gravitation beyond GR, which is supergravity. Starting with a short history of the black hole concept, the book covers the Kruskal extension of the Schwarzschild metric, the causal structures of Lorentzian manifolds, Penrose diagrams and a detailed analysis of the Kerr-Newman metric. An extensive historical account of the development of modern cosmology is followed by a detailed presentation of its mathematical structure, including non-isotropic cosmologies and billiards, de Sitter space and inflationary scenarios, perturbation theory and anisotropies of the Cosmic Microwave Background. The last three chapters deal with the mathematical and conceptual foundations of supergravity in the frame of free differential algebras. Branes are presented both as classical solutions of the bulk theory and as world-volume gauge theories with particular emphasis on the geometrical interpretation of kappa-supersymmetry. The rich bestiary of special geometries underlying supergravity lagrangians is presented, followed by a chapter providing glances on the equally rich collection of special solutions of supergravity. Pietro Frè is Professor of Theoretical Physics at the University of Torino, Italy and is currently serving as Scientific Counsellor of the Italian Embassy in Moscow. His scientific passion lies in supergravity and all allied topics, since the inception of the field, in 1976. He was professor at SISSA, worked in the USA and at CERN. He has taught General Relativity for 15 years. He has previously two scientific monographs, “Supergravity and Superstrings” and “The N=2 Wonderland”, He is also the author of a popular science book on cosmology and two novels, in Italian.
Book Synopsis High Energy Physics And Cosmology - Proceedings Of The 1995 Summer School by : Gava E
Download or read book High Energy Physics And Cosmology - Proceedings Of The 1995 Summer School written by Gava E and published by World Scientific. This book was released on 1997-02-27 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Discrete, Finite and Lie Groups by : Pietro Giuseppe Fré
Download or read book Discrete, Finite and Lie Groups written by Pietro Giuseppe Fré and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-08-07 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a self contained and exhaustive work the author covers Group Theory in its multifaceted aspects, treating its conceptual foundations in a proper logical order. First discrete and finite group theory, that includes the entire chemical-physical field of crystallography is developed self consistently, followed by the structural theory of Lie Algebras with a complete exposition of the roots and Dynkin diagrams lore. A primary on Fibre-Bundles, Connections and Gauge fields, Riemannian Geometry and the theory of Homogeneous Spaces G/H is also included and systematically developed.
Book Synopsis Gravity and Strings by : Tomás Ortín
Download or read book Gravity and Strings written by Tomás Ortín and published by Cambridge University Press. This book was released on 2004-03-25 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: One appealing feature of string theory is that it provides a theory of quantum gravity. Gravity and Strings is a self-contained, pedagogical exposition of this theory, its foundations and its basic results. In Part I, the foundations are traced back to the very early special-relativistic field theories of gravity, showing how such theories lead to general relativity. Gauge theories of gravity are then discussed and used to introduce supergravity theories. In Part II, some of the most interesting solutions of general relativity and its generalizations are studied. The final Part presents and studies string theory from the effective action point of view, using the results found earlier in the book as background. This 2004 book will be useful as a reference book for graduate students and researchers, as well as a complementary textbook for courses on gravity, supergravity and string theory.
Download or read book Physics Letters written by and published by . This book was released on 1998 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 1997 with total page 1164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Proceedings of the Second International A.D. Sakharov Conference on Physics by : Igor Michailovich Dremin
Download or read book Proceedings of the Second International A.D. Sakharov Conference on Physics written by Igor Michailovich Dremin and published by World Scientific. This book was released on 1997 with total page 791 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Second International A D Sakharov Conference On Physics by : Igor Michailovich Dremin
Download or read book Second International A D Sakharov Conference On Physics written by Igor Michailovich Dremin and published by World Scientific. This book was released on 1997-04-15 with total page 791 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the Second International A D Sakharov Conference on Physics, more than 200 physicists from many countries gathered together to celebrate what would have been the 75th birthday of the distinguished physicist and world figure Andrei Sakharov. This tradition had begun five years earlier, soon after his death.The conference was unique: it brought together leading scientists working in seemingly different fields, which were nevertheless among Sakharov's interests. Participants discussed the status and perspectives of research in high-energy physics, cosmology, astrophysics, classical and quantum gravity, plasma physics, nuclear physics, and extreme states of matter. The conference provided a unique opportunity for the participants to find and discuss common points of interest. The proceedings are evidence of the great variety of topics.Talks were given by distinguished physicists such as S Drell, L Okun, R Wilson, A D Linde, C W Misner, N A Popov, S L Adler, B DeWitt, M Kaku, J H Schwarz, A Zamolodchikov and E S Fradkin.
Book Synopsis American Book Publishing Record by :
Download or read book American Book Publishing Record written by and published by . This book was released on 1995 with total page 1044 pages. Available in PDF, EPUB and Kindle. Book excerpt:
