Mathematical Aspects Of Superspace

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Mathematical Aspects of Superspace

Author : H.J. Seifert
Publisher : Springer Science & Business Media
ISBN 13 : 9400964463
Total Pages : 220 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Mathematical Aspects of Superspace by : H.J. Seifert

Download or read book Mathematical Aspects of Superspace written by H.J. Seifert and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past five years, through a continually increasing wave of activity in the physics community, supergravity has come to be regarded as one of the most promising ways of unifying gravity with other particle interaction as a finite gauge theory to explain the spectrum of elementary particles. Concurrently im portant mathematical works on the arena of supergravity has taken place, starting with Kostant's theory of graded manifolds and continuing with Batchelor's work linking this with the superspace formalism. There remains, however, a gap between the mathematical and physical approaches expressed by such unanswered questions as, does there exist a superspace having all the properties that physicists require of it? Does it make sense to perform path integral in such a space? It is hoped that these proceedings will begin a dialogue between mathematicians and physicists on such questions as the plan of renormalisation in supergravity. The contributors to the proceedings consist both of mathe maticians and relativists who bring their experience in differen tial geometry, classical gravitation and algebra and also quantum field theorists specialized in supersymmetry and supergravity. One of the most important problems associated with super symmetry is its relationship to the elementary particle spectrum.

Supermanifolds

Author : Alice Rogers
Publisher : World Scientific
ISBN 13 : 9812708855
Total Pages : 262 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Supermanifolds by : Alice Rogers

Download or read book Supermanifolds written by Alice Rogers and published by World Scientific. This book was released on 2007 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to fill the gap in the available literature on supermanifolds, describing the different approaches to supermanifolds together with various applications to physics, including some which rely on the more mathematical aspects of supermanifold theory. The first part of the book contains a full introduction to the theory of supermanifolds, comparing and contrasting the different approaches that exist. Topics covered include tensors on supermanifolds, super fibre bundles, super Lie groups and integration theory. Later chapters emphasise applications, including the superspace approach to supersymmetric theories, super Riemann surfaces and the spinning string, path integration on supermanifolds and BRST quantization.

Encyclopaedia of Mathematics

Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
ISBN 13 : 9401512337
Total Pages : 543 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel

Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fme subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Mathematical Aspects of Classical Field Theory

Author : Mark J. Gotay
Publisher : American Mathematical Soc.
ISBN 13 : 0821851446
Total Pages : 644 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Mathematical Aspects of Classical Field Theory by : Mark J. Gotay

Download or read book Mathematical Aspects of Classical Field Theory written by Mark J. Gotay and published by American Mathematical Soc.. This book was released on 1992 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical field theory has undergone a renaissance in recent years. Symplectic techniques have yielded deep insights into its foundations, as has an improved understanding of the variational calculus. Further impetus for the study of classical fields has come from other areas, such as integrable systems, Poisson geometry, global analysis, and quantum theory. This book contains the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Mathematical Aspects of Classical Field Theory, held in July 1991 at the University of Washington at Seattle. The conference brought together researchers in many of the main areas of classical field theory to present the latest ideas and results. The volume contains thirty refereed papers, both survey and research articles, and is designed to reflect the state of the art as well as chart the future course of the subject.

Topological Properties and Global Structure of Space-Time

Author : Peter G. Bergmann
Publisher : Springer
ISBN 13 : 1489936262
Total Pages : 289 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Topological Properties and Global Structure of Space-Time by : Peter G. Bergmann

Download or read book Topological Properties and Global Structure of Space-Time written by Peter G. Bergmann and published by Springer. This book was released on 2013-12-19 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Ninth Course of the International School of Cosmology and Gravita tion of the Ettore Majorana Centre for Scientific Culture is concerned with "Topological Properties and Global Structure of Space-Time." We consider this topic to possess great importance. Our choice has also been influenced by the fact that there are many quest ions as yet unre solved. Standard general relativity describes space-time as a four-dimensional pseudo-Riemannian manifold, but it does not prescribe its large-scale structure. Inorderto attempt answers to some topological questions, such as whether our universe is open or closed, whether it is orientable, and whether it is complete or possesses singularities, various theoretical approaches to global aspects of gravitational physics are presented here. As topological questions playa role in non-standard theories as weIl, it will be found that some of the lectures and seminar talks in this volume adopt the point of view of standard relativity, whereas others are based on different theories, such as Kaluza-Klein theories, bimetric theories, and supergravity. We have found it difficult to organize these papers into classes, say standard and non-standard theory, or models with and without singularities. One paper, by R. Reasenberg, is experimental. Its purpose was to give the theorists present an inkling of the opportunities, as weIl as the pitfalls, of experimental research in gravitational physics. Accordingly, we have arranged all contributions alphabetically, by ~first-named) author.

Harmonic Superspace

Author : A. S. Galperin
Publisher : Cambridge University Press
ISBN 13 : 1139430491
Total Pages : 322 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Harmonic Superspace by : A. S. Galperin

Download or read book Harmonic Superspace written by A. S. Galperin and published by Cambridge University Press. This book was released on 2001-09-27 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inspired by exciting developments in superstring theory, this is a pedagogical and comprehensive introduction to the harmonic superspace method in extended supersymmetry. The authors (credited with inventing the technique) are recognised as world experts on the subject and present a clear account of its formalism and applications.

Mathematical Aspects of Quantum Field Theories

Author : Damien Calaque
Publisher : Springer
ISBN 13 : 3319099493
Total Pages : 572 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Mathematical Aspects of Quantum Field Theories by : Damien Calaque

Download or read book Mathematical Aspects of Quantum Field Theories written by Damien Calaque and published by Springer. This book was released on 2015-01-06 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite its long history and stunning experimental successes, the mathematical foundation of perturbative quantum field theory is still a subject of ongoing research. This book aims at presenting some of the most recent advances in the field, and at reflecting the diversity of approaches and tools invented and currently employed. Both leading experts and comparative newcomers to the field present their latest findings, helping readers to gain a better understanding of not only quantum but also classical field theories. Though the book offers a valuable resource for mathematicians and physicists alike, the focus is more on mathematical developments. This volume consists of four parts: The first Part covers local aspects of perturbative quantum field theory, with an emphasis on the axiomatization of the algebra behind the operator product expansion. The second Part highlights Chern-Simons gauge theories, while the third examines (semi-)classical field theories. In closing, Part 4 addresses factorization homology and factorization algebras.

Superanalysis

Author : Andrei Y. Khrennikov
Publisher : Springer Science & Business Media
ISBN 13 : 9401146098
Total Pages : 359 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Superanalysis by : Andrei Y. Khrennikov

Download or read book Superanalysis written by Andrei Y. Khrennikov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: defined as elements of Grassmann algebra (an algebra with anticom muting generators). The derivatives of these elements with respect to anticommuting generators were defined according to algebraic laws, and nothing like Newton's analysis arose when Martin's approach was used. Later, during the next twenty years, the algebraic apparatus de veloped by Martin was used in all mathematical works. We must point out here the considerable contribution made by F. A. Berezin, G 1. Kac, D. A. Leites, B. Kostant. In their works, they constructed a new division of mathematics which can naturally be called an algebraic superanalysis. Following the example of physicists, researchers called the investigations carried out with the use of commuting and anticom muting coordinates supermathematics; all mathematical objects that appeared in supermathematics were called superobjects, although, of course, there is nothing "super" in supermathematics. However, despite the great achievements in algebraic superanaly sis, this formalism could not be regarded as a generalization to the case of commuting and anticommuting variables from the ordinary Newton analysis. What is more, Schwinger's formalism was still used in practically all physical works, on an intuitive level, and physicists regarded functions of anticommuting variables as "real functions" == maps of sets and not as elements of Grassmann algebras. In 1974, Salam and Strathdee proposed a very apt name for a set of super points. They called this set a superspace.

Supersymmetries and Infinite-Dimensional Algebras

Author : N. H. March
Publisher : Academic Press
ISBN 13 : 1483288374
Total Pages : 651 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Supersymmetries and Infinite-Dimensional Algebras by : N. H. March

Download or read book Supersymmetries and Infinite-Dimensional Algebras written by N. H. March and published by Academic Press. This book was released on 2013-10-22 with total page 651 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent devopments, particularly in high-energy physics, have projected group theory and symmetry consideration into a central position in theoretical physics. These developments have taken physicists increasingly deeper into the fascinating world of pure mathematics. This work presents important mathematical developments of the last fifteen years in a form that is easy to comprehend and appreciate.

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 868 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2003 with total page 868 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics and the Natural Sciences

Author : Francis Bailly
Publisher : World Scientific
ISBN 13 : 1848166931
Total Pages : 337 pages
Book Rating : 4.8/5 (481 download)

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Book Synopsis Mathematics and the Natural Sciences by : Francis Bailly

Download or read book Mathematics and the Natural Sciences written by Francis Bailly and published by World Scientific. This book was released on 2011 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book aims at the identification of the organising concepts of some physical and biological phenomena, by means of an analysis of the foundations of mathematics and of physics. This is done in the perspective of unifying phenomena, of bringing different conceptual universes into dialog. The analysis of the role of “order” and of symmetries in the foundations of mathematics is linked to the main invariants and principles, among which the geodesic principle (a consequence of symmetries), which govern and confer unity to the various physical theories. Moreover, we attempt to understand causal structures, a central element of physical intelligibility, in terms of symmetries and their breakings. The importance of the mathematical tool is also highlighted, enabling us to grasp the differences in the models for physics and biology which are proposed by continuous and discrete mathematics, such as computational simulations. A distinction between principles of (conceptual) construction and principles of proofs, both in physics and in mathematics, guides this part of the work.As for biology, being particularly difficult and not as thoroughly examined at a theoretical level, we propose a “unification by concepts”, an attempt which should always precede mathematisation. This constitutes an outline for unification also basing itself upon the highlighting of conceptual differences, of complex points of passage, of technical irreducibilities of one field to another. Indeed, a monist point of view such as ours should not make us blind: we, the living objects, are surely just big bags of molecules or, at least, this is our main metaphysical assumption. The point though is: which theory can help us to better understand these bags of molecules, as they are, indeed, rather “singular”, from the physical point of view. Technically, this singularity is expressed by the notion of “extended criticality”, a notion that logically extends the pointwise critical transitions in physics.

Particles, Strings And Supernovae - Proceedings Of Theoretical Advanced Study Institute In Elementary Particle Physics (In 2 Volumes)

Author : Tan Chung-i
Publisher : World Scientific
ISBN 13 : 9814590770
Total Pages : 1092 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Particles, Strings And Supernovae - Proceedings Of Theoretical Advanced Study Institute In Elementary Particle Physics (In 2 Volumes) by : Tan Chung-i

Download or read book Particles, Strings And Supernovae - Proceedings Of Theoretical Advanced Study Institute In Elementary Particle Physics (In 2 Volumes) written by Tan Chung-i and published by World Scientific. This book was released on 1989-05-01 with total page 1092 pages. Available in PDF, EPUB and Kindle. Book excerpt:

New Trends in Stochastic Analysis and Related Topics

Author : Huaizhong Zhao
Publisher : World Scientific
ISBN 13 : 9814360910
Total Pages : 458 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis New Trends in Stochastic Analysis and Related Topics by : Huaizhong Zhao

Download or read book New Trends in Stochastic Analysis and Related Topics written by Huaizhong Zhao and published by World Scientific. This book was released on 2012 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume is dedicated to Professor David Elworthy to celebrate his fundamental contribution and exceptional influence on stochastic analysis and related fields. Stochastic analysis has been profoundly developed as a vital fundamental research area in mathematics in recent decades. It has been discovered to have intrinsic connections with many other areas of mathematics such as partial differential equations, functional analysis, topology, differential geometry, dynamical systems, etc. Mathematicians developed many mathematical tools in stochastic analysis to understand and model random phenomena in physics, biology, finance, fluid, environment science, etc. This volume contains 12 comprehensive review/new articles written by world leading researchers (by invitation) and their collaborators. It covers stochastic analysis on manifolds, rough paths, Dirichlet forms, stochastic partial differential equations, stochastic dynamical systems, infinite dimensional analysis, stochastic flows, quantum stochastic analysis and stochastic Hamilton Jacobi theory. Articles contain cutting edge research methodology, results and ideas in relevant fields. They are of interest to research mathematicians and postgraduate students in stochastic analysis, probability, partial differential equations, dynamical systems, mathematical physics, as well as to physicists, financial mathematicians, engineers, etc.

Supermanifolds

Author : Bryce Seligman DeWitt
Publisher : Cambridge University Press
ISBN 13 : 9780521423779
Total Pages : 432 pages
Book Rating : 4.4/5 (237 download)

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Book Synopsis Supermanifolds by : Bryce Seligman DeWitt

Download or read book Supermanifolds written by Bryce Seligman DeWitt and published by Cambridge University Press. This book was released on 1992-05-28 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This updated and expanded second edition of an established text presents a detailed exposition of the modern theory of supermanifolds, including a rigorous account of the superanalogs of all the basic structures of ordinary manifold theory.

国立国会図書館所蔵科学技術関係欧文会議錄目錄

Author : 国立国会図書館 (Japan)
Publisher :
ISBN 13 :
Total Pages : 672 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis 国立国会図書館所蔵科学技術関係欧文会議錄目錄 by : 国立国会図書館 (Japan)

Download or read book 国立国会図書館所蔵科学技術関係欧文会議錄目錄 written by 国立国会図書館 (Japan) and published by . This book was released on 1972 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt:

INIS Atomindex

Author :
Publisher :
ISBN 13 :
Total Pages : 1438 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis INIS Atomindex by :

Download or read book INIS Atomindex written by and published by . This book was released on 1986 with total page 1438 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Aspects Of String Theory - Proceedings Of The Conference On Mathematical Aspects Of String Theory

Author : Shing-tung Yau
Publisher : World Scientific
ISBN 13 : 9814603783
Total Pages : 666 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Mathematical Aspects Of String Theory - Proceedings Of The Conference On Mathematical Aspects Of String Theory by : Shing-tung Yau

Download or read book Mathematical Aspects Of String Theory - Proceedings Of The Conference On Mathematical Aspects Of String Theory written by Shing-tung Yau and published by World Scientific. This book was released on 1987-09-01 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents:Introduction to Quantum Field Theory, Path Integrals and String (B Hatfield)From Polyakov to Moduli (J Polchinski)Geometry of Quantum Strings (E D'Hoker & D H Phong)BRST Quantization and BRST Cohomology (N Marcus & A Sagnotti)Analytic Structure of Two-Dimensional Quantum Field Theories (P Nelson)Geometrical Meaning of Currents in String Theory (O Alvarez & P Windey)String Field Theory and the Geometry of Moduli Space (S Giddings)String Theory Without a Background Spacetime Geometry (G Horowitz)Holomorphic Curves on Manifolds of SU(3) Holonomy (E Witten)Vertex Operator Calculus (I Frenkel et al.)On Determinant Line Bundles (D Freed)h-Invariant and the Index (I Singer)Action Principles and Global Geometry (G Zuckerman)Introduction to Moduli Space of Curves (J Harris)Moduli Space of Punctured Surfaces (R Penner)Geometric Complex Coordinates for Teichmüller Space (A Marden)Asymptotics of the Selberg Zeta Function and the Polyakov Bosonic Integrand (S Wolpert)Super Riemann Surfaces (J Rabin)Divisors on Mg and the Cosmological Constant (M Chang & Z Ran)Severi Problem: A Post-Mortem (?) (Z Ran)Slope of Subvarieties of M15 (6 2/3 ≤ S15 ≤ 6 3/4) (M Chang & Z Ran)Arithmetic Intersections (G Faltings)Deformation Theory for Cohomology of Analytic Vector Bundles on Kähler Manifolds (M Green & R Lazarsfeld)Topology and Geometry in Superstring-Inspired Phenomenology (B Greene et al.)Yukawa Couplings between (2, 1)-Forms (P Candelas)Three-Dimensional Algebraic Maniforlds with C1=0 and x=-6 (G Tian & S T Yau)Hermitian-Yang-Mills Connection on Non-Kähler Manifolds (J Li & S T Yau)Existence of Kähler-Einstein Metrics on Complete Kähler Manifolds (G Tian & S T Yau)Smoothness of the Universal Deformation Space of Compact Calabi-Yau Manifolds and its Peterson-Weil Metric (G Tian)Critical Phenomena (S Shenker) Readership: Mathematical and high energy physicists. Keywords:String Theory;Proceedings;Conference;San Diego/California