Complex Differential Geometry And Supermanifolds In String And Fields
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Author | : Petrus J.M. Bongaarts |
Publisher | : Springer |
Total Pages | : 268 |
Release | : 1988-10-12 |
Genre | : Mathematics |
ISBN | : |
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.
Author | : Alice Rogers |
Publisher | : World Scientific |
Total Pages | : 262 |
Release | : 2007 |
Genre | : Mathematics |
ISBN | : 9812708855 |
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.
Author | : Petrus J.M. Bongaarts |
Publisher | : Springer |
Total Pages | : 254 |
Release | : 2014-03-12 |
Genre | : Science |
ISBN | : 9783662136966 |
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.
Author | : Yuri I. Manin |
Publisher | : Springer Science & Business Media |
Total Pages | : 357 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 3662073862 |
From the reviews: "... focused mainly on complex differential geometry and holomorphic bundle theory. This is a powerful book, written by a very distinguished contributor to the field" (Contemporary Physics )"the book provides a large amount of background for current research across a spectrum of field. ... requires effort to read but it is worthwhile and rewarding" (New Zealand Math. Soc. Newsletter) " The contents are highly technical and the pace of the exposition is quite fast. Manin is an outstanding mathematician, and writer as well, perfectly at ease in the most abstract and complex situation. With such a guide the reader will be generously rewarded!" (Physicalia) This new edition includes an Appendix on developments of the last 10 years, by S. Merkulov.
Author | : Ferenc N. Balogh |
Publisher | : Nova Publishers |
Total Pages | : 246 |
Release | : 2008 |
Genre | : Business & Economics |
ISBN | : 9781604560756 |
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 | : |
Publisher | : |
Total Pages | : 632 |
Release | : 1989 |
Genre | : Physics |
ISBN | : |
Author | : Allan I. Solomon |
Publisher | : World Scientific Publishing Company |
Total Pages | : 392 |
Release | : 1989 |
Genre | : Mathematics |
ISBN | : |
Author | : C. Bartocci |
Publisher | : Springer Science & Business Media |
Total Pages | : 255 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9401135045 |
'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.
Author | : |
Publisher | : |
Total Pages | : 818 |
Release | : 1990 |
Genre | : Particles (Nuclear physics) |
ISBN | : |
Author | : |
Publisher | : |
Total Pages | : 664 |
Release | : 1942 |
Genre | : Greek letter societies |
ISBN | : |