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Author : Michio Kaku
Publisher :
ISBN 13 :
Total Pages : 560 pages
Book Rating : 4.3/5 (91 download)
Download or read book Strings, Conformal Fields, and Topology written by Michio Kaku and published by . This book was released on 1991 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michio Kaku
Publisher : Springer Science & Business Media
ISBN 13 : 1468403974
Total Pages : 544 pages
Book Rating : 4.4/5 (684 download)
Download or read book Strings, Conformal Fields, and Topology written by Michio Kaku and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following on the foundations laid in his earlier book "Introduction to Superstrings", Professor Kaku discusses such topics as the classification of conformal string theories, the non-polynomial closed string field theory, matrix models, and topological field theory. The presentation of the material is self-contained, and several chapters review material expounded in the earlier book. This book provides students with an understanding of the main areas of current progress in string theory, placing the reader at the forefront of current research.
Author : Michio Kaku
Publisher : Springer Science & Business Media
ISBN 13 : 1461205034
Total Pages : 542 pages
Book Rating : 4.4/5 (612 download)
Download or read book Strings, Conformal Fields, and M-Theory written by Michio Kaku and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building on the foundations laid in his Introduction to Superstrings and M Theory, Professor Kaku discusses such topics as the classification of conformal string theories, knot theory, the Yang-Baxter relation, quantum groups, and the insights into 11-dimensional strings recently obtained from M-theory. New chapters discuss such topics as Seiberg-Witten theory, M theory and duality, and D-branes. Throughout, the author conveys the vitality of the current research and places readers at its forefront. Several chapters reviewing the fundamentals of string theory, making the presentation of the material self-contained while keeping overlap with the earlier book to a minimum.
Author : Andreas Recknagel
Publisher : Cambridge University Press
ISBN 13 : 1107511801
Total Pages : 349 pages
Book Rating : 4.1/5 (75 download)
Download or read book Boundary Conformal Field Theory and the Worldsheet Approach to D-Branes written by Andreas Recknagel and published by Cambridge University Press. This book was released on 2013-11-28 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boundary conformal field theory is concerned with a class of two-dimensional quantum field theories which display a rich mathematical structure and have many applications ranging from string theory to condensed matter physics. In particular, the framework allows discussion of strings and branes directly at the quantum level. Written by internationally renowned experts, this comprehensive introduction to boundary conformal field theory reaches from theoretical foundations to recent developments, with an emphasis on the algebraic treatment of string backgrounds. Topics covered include basic concepts in conformal field theory with and without boundaries, the mathematical description of strings and D-branes, and the geometry of strongly curved spacetime. The book offers insights into string geometry that go beyond classical notions. Describing the theory from basic concepts, and providing numerous worked examples from conformal field theory and string theory, this reference is of interest to graduate students and researchers in physics and mathematics.
Author : Martin Schottenloher
Publisher : Springer
ISBN 13 : 3540686282
Total Pages : 249 pages
Book Rating : 4.5/5 (46 download)
Download or read book A Mathematical Introduction to Conformal Field Theory written by Martin Schottenloher and published by Springer. This book was released on 2008-09-11 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part of this book gives a self-contained and mathematically rigorous exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions. The second part surveys some more advanced topics of conformal field theory.
Author : Serge? Vladimirovich Ketov
Publisher : World Scientific
ISBN 13 : 9810216084
Total Pages : 502 pages
Book Rating : 4.8/5 (12 download)
Download or read book Conformal Field Theory written by Serge? Vladimirovich Ketov and published by World Scientific. This book was released on 1995 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conformal field theory is an elegant and powerful theory in the field of high energy physics and statistics. In fact, it can be said to be one of the greatest achievements in the development of this field. Presented in two dimensions, this book is designed for students who already have a basic knowledge of quantum mechanics, field theory and general relativity. The main idea used throughout the book is that conformal symmetry causes both classical and quantum integrability. Instead of concentrating on the numerous applications of the theory, the author puts forward a discussion of the general methods of conformal field theory as a physical theory. Hence the book provides in a self-contained way the necessary knowledge and ?conformal? intuition which underline the various applications of conformal field theory. It is aimed to assist students and professionals in the study of the theory from its first principles and in applying the methods in their own research. The first of its kind, this book promises to give a detailed and comprehensive insight into the workings of conformal field theory.
Author : Matti Pitkanen
Publisher : Luniver Press
ISBN 13 : 0955117089
Total Pages : 822 pages
Book Rating : 4.9/5 (551 download)
Download or read book Topological Geometrodynamics written by Matti Pitkanen and published by Luniver Press. This book was released on 2006 with total page 822 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological GeometroDynamics is a modification of general relativity inspired by the conceptual problems related to the definitions of inertial and gravitational energy in general relativity. Topological geometrodynamics can be also seen as a generalization of super string models. Physical space-times are seen as four-dimensional surfaces in certain eight-dimensional space. The choice of this space is fixed by symmetries of the standard model so that geometrization of known classical fields and elementary particle quantum numbers results. The notion of many-sheeted space-time allows re-interpretation of the structures of perceived world in terms of macroscopic space-time topology. The generalization of the number concept based on fusion of real numbers and p-adic number fields implies a further generalization of the space-time concept allowing to identify space-time correlates of cognition and intentionality. Quantum measurement theory extended to a quantum theory of consciousness becomes an organic part of theory. A highly non-trivial prediction is the existence of a fractal hierarchy of copies of standard model physics with dark matter identified in terms of macroscopic quantum phases characterized by dynamical and quantized Planck constant. The book is a comprehensive overview and analysis of topological geometrodynamics as a mathematical and physical theory.
Author : Ferenc N. Balogh
Publisher : Nova Publishers
ISBN 13 : 9781604560756
Total Pages : 246 pages
Book Rating : 4.5/5 (67 download)
Download or read book String Theory Research Progress written by Ferenc N. Balogh and published by Nova Publishers. This book was released on 2008 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: String theory is a model of fundamental physics whose building blocks are one-dimensional extended objects called strings, rather than the zero-dimensional point particles that form the basis for the standard model of particle physics. The phrase is often used as shorthand for Superstring theory, as well as related theories such as M-theory. By replacing the point-like particles with strings, an apparently consistent quantum theory of gravity emerges. Moreover, it may be possible to 'unify' the known natural forces (gravitational, electromagnetic, weak nuclear and strong nuclear) by describing them with the same set of equations. Studies of string theory have revealed that it predicts higher-dimensional objects called branes. String theory strongly suggests the existence of ten or eleven (in M-theory) space-time dimensions, as opposed to the usual four (three spatial and one temporal) used in relativity theory.
Author : Brian Greene
Publisher : World Scientific
ISBN 13 : 9814529737
Total Pages : 1089 pages
Book Rating : 4.8/5 (145 download)
Download or read book Fields, Strings, and Duality written by Brian Greene and published by World Scientific. This book was released on 1997 with total page 1089 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The past year has witnessed truly remarkable developments in our understanding of string theory. Fields, Strings and Duality - TASI 96 is an invaluable collection of review papers on the subject, contributed by the most prominent researchers in the field. This volume is a scientific treasure for graduate students, researchers and all others who are interested in the progress of theoretical physics."--Publisher's website
Author : Philippe Francesco
Publisher : Springer Science & Business Media
ISBN 13 : 1461222567
Total Pages : 908 pages
Book Rating : 4.4/5 (612 download)
Download or read book Conformal Field Theory written by Philippe Francesco and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 908 pages. Available in PDF, EPUB and Kindle. Book excerpt: Filling an important gap in the literature, this comprehensive text develops conformal field theory from first principles. The treatment is self-contained, pedagogical, and exhaustive, and includes a great deal of background material on quantum field theory, statistical mechanics, Lie algebras and affine Lie algebras. The many exercises, with a wide spectrum of difficulty and subjects, complement and in many cases extend the text. The text is thus not only an excellent tool for classroom teaching but also for individual study. Intended primarily for graduate students and researchers in theoretical high-energy physics, mathematical physics, condensed matter theory, statistical physics, the book will also be of interest in other areas of theoretical physics and mathematics. It will prepare the reader for original research in this very active field of theoretical and mathematical physics.
Author : Daniel S. Freed
Publisher : American Mathematical Soc.
ISBN 13 : 1470452065
Total Pages : 186 pages
Book Rating : 4.4/5 (74 download)
Download or read book Lectures on Field Theory and Topology written by Daniel S. Freed and published by American Mathematical Soc.. This book was released on 2019-08-23 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lectures recount an application of stable homotopy theory to a concrete problem in low energy physics: the classification of special phases of matter. While the joint work of the author and Michael Hopkins is a focal point, a general geometric frame of reference on quantum field theory is emphasized. Early lectures describe the geometric axiom systems introduced by Graeme Segal and Michael Atiyah in the late 1980s, as well as subsequent extensions. This material provides an entry point for mathematicians to delve into quantum field theory. Classification theorems in low dimensions are proved to illustrate the framework. The later lectures turn to more specialized topics in field theory, including the relationship between invertible field theories and stable homotopy theory, extended unitarity, anomalies, and relativistic free fermion systems. The accompanying mathematical explanations touch upon (higher) category theory, duals to the sphere spectrum, equivariant spectra, differential cohomology, and Dirac operators. The outcome of computations made using the Adams spectral sequence is presented and compared to results in the condensed matter literature obtained by very different means. The general perspectives and specific applications fuse into a compelling story at the interface of contemporary mathematics and theoretical physics.
Author : Hisham Sati
Publisher : American Mathematical Soc.
ISBN 13 : 0821851950
Total Pages : 370 pages
Book Rating : 4.8/5 (218 download)
Download or read book Mathematical Foundations of Quantum Field Theory and Perturbative String Theory written by Hisham Sati and published by American Mathematical Soc.. This book was released on 2011-12-07 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conceptual progress in fundamental theoretical physics is linked with the search for the suitable mathematical structures that model the physical systems. Quantum field theory (QFT) has proven to be a rich source of ideas for mathematics for a long time. However, fundamental questions such as ``What is a QFT?'' did not have satisfactory mathematical answers, especially on spaces with arbitrary topology, fundamental for the formulation of perturbative string theory. This book contains a collection of papers highlighting the mathematical foundations of QFT and its relevance to perturbative string theory as well as the deep techniques that have been emerging in the last few years. The papers are organized under three main chapters: Foundations for Quantum Field Theory, Quantization of Field Theories, and Two-Dimensional Quantum Field Theories. An introduction, written by the editors, provides an overview of the main underlying themes that bind together the papers in the volume.
Author : Marcos Marino
Publisher : Oxford University Press
ISBN 13 : 9780198568490
Total Pages : 210 pages
Book Rating : 4.5/5 (684 download)
Download or read book Chern-Simons Theory, Matrix Models, and Topological Strings written by Marcos Marino and published by Oxford University Press. This book was released on 2005 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: After an introduction to matrix models and Cherns-Simons gauge theory, this book describes in detail the topological string theories that correspond to these gauge theories and develops the mathematical implication of this duality for the enumerative geometry of Calabi-Yau manifolds and knot theory.
Author : A. M. Polyakov
Publisher : Routledge
ISBN 13 : 1351446096
Total Pages : 312 pages
Book Rating : 4.3/5 (514 download)
Download or read book Gauge Fields and Strings written by A. M. Polyakov and published by Routledge. This book was released on 2018-05-02 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on his own work, the author synthesizes the most promising approaches and ideals in field theory today. He presents such subjects as statistical mechanics, quantum field theory and their interrelation, continuous global symmetry, non-Abelian gauge fields, instantons and the quantam theory of loops, and quantum strings and random surfaces. This book is aimed at postgraduate students studying field theory and statistical mechanics, and for research workers in continuous global theory.
Author : Martin Markl
Publisher : American Mathematical Soc.
ISBN 13 : 0821843621
Total Pages : 362 pages
Book Rating : 4.8/5 (218 download)
Download or read book Operads in Algebra, Topology and Physics written by Martin Markl and published by American Mathematical Soc.. This book was released on 2002 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Operads are mathematical devices which describe algebraic structures of many varieties and in various categories. From their beginnings in the 1960s, they have developed to encompass such areas as combinatorics, knot theory, moduli spaces, string field theory and deformation quantization.
Author : Toshitake Kohno
Publisher :
ISBN 13 : 9781470446352
Total Pages : pages
Book Rating : 4.4/5 (463 download)
Download or read book Conformal Field Theory and Topology written by Toshitake Kohno and published by . This book was released on 2002 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to provide the reader with an introduction to conformal field theory and its applications to topology. The author starts with a description of geometric aspects of conformal field theory based on loop groups. By means of the holonomy of conformal field theory he defines topological invariants for knots and 3-manifolds. He also gives a brief treatment of Chern-Simons perturbation theory.
Author : Becker Katrin Schwarz John H Becker Melanie
Publisher :
ISBN 13 : 9780511648830
Total Pages : 757 pages
Book Rating : 4.6/5 (488 download)
Download or read book String Theory and M-theory written by Becker Katrin Schwarz John H Becker Melanie and published by . This book was released on 2014-05-14 with total page 757 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book guides the reader through string theory, one of the most exciting and challenging areas of modern theoretical physics. It is ideal for graduate students and researchers in modern string theory, and will make an excellent textbook. It contains exercises with solutions, and homework problems with solutions.
