Geometric Integration Theory On Supermanifolds
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Geometric Integration Theory On Supermanifolds
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Author : Theodore Voronov
language : en
Publisher:
Release Date : 2014
Geometric Integration Theory On Supermanifolds written by Theodore Voronov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Integral geometry categories.
Geometric Integration Theory On Supermanifolds
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Author : T. Voronov
language : en
Publisher: CRC Press
Release Date : 1991
Geometric Integration Theory On Supermanifolds written by T. Voronov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
The author presents the first detailed and original account of his theory of forms on supermanifolds-a correct and non-trivial analogue of Cartan-de Rham theory based on new concepts. The paper develops the apparatus of supermanifold differential topology necessary for the integration theory. A key feature is the identification of a class of proper morphisms intimately connected with Berezin integration, which are of fundamental importance in various problems. The work also contains a condensed introduction to superanalysis and supermanifolds, free from algebraic formalism, which sets out afresh such challenging problems as the Berezin intgegral on a bounded domain.
Supermanifolds
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Author : Alice Rogers
language : en
Publisher: World Scientific
Release Date : 2007
Supermanifolds written by Alice Rogers and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
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.
Geometric Integration Theory
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Author : Hassler Whitney
language : en
Publisher: Courier Corporation
Release Date : 2012-01-27
Geometric Integration Theory written by Hassler Whitney and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-27 with Mathematics categories.
Geared toward upper-level undergraduates and graduate students, this treatment of geometric integration theory consists of an introduction to classical theory, a postulational approach to general theory, and a section on Lebesgue theory. 1957 edition.
Supergeometry Super Riemann Surfaces And The Superconformal Action Functional
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Author : Enno Keßler
language : en
Publisher: Springer Nature
Release Date : 2019-08-28
Supergeometry Super Riemann Surfaces And The Superconformal Action Functional written by Enno Keßler and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-28 with Mathematics categories.
This book treats the two-dimensional non-linear supersymmetric sigma model or spinning string from the perspective of supergeometry. The objective is to understand its symmetries as geometric properties of super Riemann surfaces, which are particular complex super manifolds of dimension 1|1. The first part gives an introduction to the super differential geometry of families of super manifolds. Appropriate generalizations of principal bundles, smooth families of complex manifolds and integration theory are developed. The second part studies uniformization, U(1)-structures and connections on Super Riemann surfaces and shows how the latter can be viewed as extensions of Riemann surfaces by a gravitino field. A natural geometric action functional on super Riemann surfaces is shown to reproduce the action functional of the non-linear supersymmetric sigma model using a component field formalism. The conserved currents of this action can be identified as infinitesimal deformations of the super Riemann surface. This is in surprising analogy to the theory of Riemann surfaces and the harmonic action functional on them. This volume is aimed at both theoretical physicists interested in a careful treatment of the subject and mathematicians who want to become acquainted with the potential applications of this beautiful theory.
The Geometry Of Supermanifolds
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Author : C. Bartocci
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Geometry Of Supermanifolds written by C. Bartocci and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
'Et moi ... - si favait III mmment en revenir, One service mathematics has rendered the je n'y serais point aile:' human race. It has put CXlUImon sense back Iules Verne where it belongs. on the topmost shelf next to the dUlty canister lahelled 'discarded non- The series i. divergent; therefore we may be able to do something with it. Eric T. Bell O. Hesvi.ide Mathematics is a tool for thOUght. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d't!tre of this series.
Supermanifolds And Supergroups
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Author : Gijs M. Tuynman
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-20
Supermanifolds And Supergroups written by Gijs M. Tuynman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-20 with Mathematics categories.
Supermanifolds and Supergroups explains the basic ingredients of super manifolds and super Lie groups. It starts with super linear algebra and follows with a treatment of super smooth functions and the basic definition of a super manifold. When discussing the tangent bundle, integration of vector fields is treated as well as the machinery of differential forms. For super Lie groups the standard results are shown, including the construction of a super Lie group for any super Lie algebra. The last chapter is entirely devoted to super connections. The book requires standard undergraduate knowledge on super differential geometry and super Lie groups.
Supermanifolds
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Author : Alice Rogers
language : en
Publisher: World Scientific
Release Date : 2007-04-18
Supermanifolds written by Alice Rogers and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-18 with Science categories.
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. Contents:Super AlgebrasSuperspaceFunctions of Anticommuting VariablesSupermanifolds: The Concrete ApproachFunctions and Vector FieldsSupermanifolds: The Algebro-Geometric ApproachThe Structure of SupermanifoldsSuper Lie GroupsTensors and FormsIntegration on SupermanifoldsGeometric Structures on SupermanifoldsSupermanifolds and Supersymmetric TheoriesSuper Riemann SurfacesPath Integrals on SupermanifoldsSupermanifolds and BRST QuantizationSupermanifolds and Geometry Readership: Mathematicians and theoretical physicists. keywords: “A book written in a relaxed and friendly manner, that moreover, tries to appeal to both, physicists and mathematicians, by using their specific parlance at various parts. As already said, a concise, but at the same time reasonably complete, exposition of the basics of supermanifold theory. A concise but up-to-date account of some of the main applications — both to physics and mathematics — of supermanifold theory … A quite extensive bibliography.” Mathematical Reviews “The book discusses many geometric ideas on supermanifolds and their applications to physics, and the reviewer believes that it will be the standard reference in the theory of supermanifolds for decades.” Zentralblatt MATH
Supermanifolds And Supergroups
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Author : Gijs M. Tuynman
language : en
Publisher: Springer
Release Date : 2009-09-03
Supermanifolds And Supergroups written by Gijs M. Tuynman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-03 with Mathematics categories.
Supermanifolds and Supergroups explains the basic ingredients of super manifolds and super Lie groups. It starts with super linear algebra and follows with a treatment of super smooth functions and the basic definition of a super manifold. When discussing the tangent bundle, integration of vector fields is treated as well as the machinery of differential forms. For super Lie groups the standard results are shown, including the construction of a super Lie group for any super Lie algebra. The last chapter is entirely devoted to super connections. The book requires standard undergraduate knowledge on super differential geometry and super Lie groups.
Complex Differential Geometry And Supermanifolds In Strings And Fields
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Author : Petrus J.M. Bongaarts
language : en
Publisher: Springer
Release Date : 1988-10-12
Complex Differential Geometry And Supermanifolds In Strings And Fields written by Petrus J.M. Bongaarts and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-10-12 with Mathematics categories.
This volume deals with one of the most active fields of research in mathematical physics: the use of geometric and topological methods in field theory. The emphasis in these proceedings is on complex differential geometry, in particular on Kähler manifolds, supermanifolds, and graded manifolds. From the point of view of physics the main topics were field theory, string theory and problems from elementary particle theory involving supersymmetry. The lectures show a remarkable unity of approach and are considerably related to each other. They should be of great value to researchers and graduate students.