Complex Differential Geometry and Supermanifolds in Strings and Fields

Complex Differential Geometry and Supermanifolds in Strings and Fields
Title Complex Differential Geometry and Supermanifolds in Strings and Fields PDF eBook
Author Petrus J.M. Bongaarts
Publisher Springer
Pages 268
Release 1988-10-12
Genre Mathematics
ISBN

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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.

Complex Differential Geometry and Supermanifolds in Strings and Fields

Complex Differential Geometry and Supermanifolds in Strings and Fields
Title Complex Differential Geometry and Supermanifolds in Strings and Fields PDF eBook
Author Petrus J.M. Bongaarts
Publisher Springer
Pages 254
Release 2014-03-12
Genre Science
ISBN 9783662136966

Download Complex Differential Geometry and Supermanifolds in Strings and Fields Book in PDF, Epub and Kindle

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.

Supermanifolds

Supermanifolds
Title Supermanifolds PDF eBook
Author Alice Rogers
Publisher World Scientific
Pages 262
Release 2007
Genre Mathematics
ISBN 9812708855

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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.

Quantum Fields and Strings: A Course for Mathematicians

Quantum Fields and Strings: A Course for Mathematicians
Title Quantum Fields and Strings: A Course for Mathematicians PDF eBook
Author Pierre Deligne
Publisher American Mathematical Society
Pages 747
Release 2000-04-27
Genre Mathematics
ISBN 0821820125

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A run-away bestseller from the moment it hit the market in late 1999. This impressive, thick softcover offers mathematicians and mathematical physicists the opportunity to learn about the beautiful and difficult subjects of quantum field theory and string theory. Cover features an intriguing cartoon that will bring a smile to its intended audience.

Noncommutative Structures in Mathematics and Physics

Noncommutative Structures in Mathematics and Physics
Title Noncommutative Structures in Mathematics and Physics PDF eBook
Author S. Duplij
Publisher Springer Science & Business Media
Pages 472
Release 2012-12-06
Genre Science
ISBN 9401008361

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A presentation of outstanding achievements and ideas, of both eastern and western scientists, both mathematicians and physicists. Their presentations of recent work on quantum field theory, supergravity, M-theory, black holes and quantum gravity, together with research into noncommutative geometry, Hopf algebras, representation theory, categories and quantum groups, take the reader to the forefront of the latest developments. Other topics covered include supergravity and branes, supersymmetric quantum mechanics and superparticles, (super) black holes, superalgebra representations, and SUSY GUT phenomenology. Essential reading for workers in the modern methods of theoretical and mathematical physics.

String Theory Research Progress

String Theory Research Progress
Title String Theory Research Progress PDF eBook
Author Ferenc N. Balogh
Publisher Nova Publishers
Pages 246
Release 2008
Genre Business & Economics
ISBN 9781604560756

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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.

Soviet Physics, Uspekhi

Soviet Physics, Uspekhi
Title Soviet Physics, Uspekhi PDF eBook
Author
Publisher
Pages 632
Release 1989
Genre Physics
ISBN

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