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Supermanifolds

2007 Mathematics
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Release : 2007
Genre : Mathematics
Kind : eBook
Book Rating : 855/5 ( reviews)

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Book Synopsis Supermanifolds by : Alice Rogers

Download or read book Supermanifolds written by Alice Rogers. This book was released on 2007. 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.

Supermanifolds: Theory And Applications

2007-04-18 Science
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Release : 2007-04-18
Genre : Science
Kind : eBook
Book Rating : 03X/5 ( reviews)

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Book Synopsis Supermanifolds: Theory And Applications by : Alice Rogers

Download or read book Supermanifolds: Theory And Applications written by Alice Rogers. This book was released on 2007-04-18. 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.

Supermanifolds

1984 Science
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Release : 1984
Genre : Science
Kind : eBook
Book Rating : 762/5 ( reviews)

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Book Synopsis Supermanifolds by : Bryce Dewitt

Download or read book Supermanifolds written by Bryce Dewitt. This book was released on 1984. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a detailed exposition of the modern theory of supermanifolds, including a rigorous account of the super-analogs of all the basic structures of ordinary manifold theory. The exposition opens with the theory of analysis over supernumbers (Grassmann variables), Berezin integration, supervector spaces and the superdeterminant. This basic material is then applied to the theory of supermanifolds, with an account of the super-analog of Lie derivatives, connections, metrics, curvature, geodesics, Killing flows, conformal groups, etc. The book goes on to discuss the theory of super Lie groups, super Lie algebras, and invariant geometrical structures on coset spaces. Complete descriptions are given of all the simple super Lie groups. The final chapter contains an account of the Peierls bracket for superclassical dynamical systems, super Hilbert spaces, path integration for fermionic quantum systems, and simple models of Bose-Fermi supersymmetry. Many exercises are included to supplement the material in the text.

Supermanifolds

1992-05-28 Mathematics
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Release : 1992-05-28
Genre : Mathematics
Kind : eBook
Book Rating : 779/5 ( reviews)

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Book Synopsis Supermanifolds by : Bryce Seligman DeWitt

Download or read book Supermanifolds written by Bryce Seligman DeWitt. This book was released on 1992-05-28. 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.

Supermanifolds and Supergroups

2006-01-20 Mathematics
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Release : 2006-01-20
Genre : Mathematics
Kind : eBook
Book Rating : 972/5 ( reviews)

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Book Synopsis Supermanifolds and Supergroups by : Gijs M. Tuynman

Download or read book Supermanifolds and Supergroups written by Gijs M. Tuynman. This book was released on 2006-01-20. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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