Supermanifolds

Theory And Applications

Alice Rogers (King's College London, Uk), Paul Howe

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Hardback

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English

World Scientific Publishing Co Pte Ltd
01 January 2024

Algebraic topology; Applied mathematics

Summary
Details

This book aims to fill the gap in the literature available on supermanifolds. In two sections, the book describes the different approaches to supermanifolds, with 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. This section includes tensor calculus on supermanifolds, supervector bundles, superlie groups and integration theory. The second part emphasizes applications. It begins with a review of supersymmetry and a treatment of various supersymmetric theories in flat superspace, in particular supersymmetric Yang-Mills theories. It continues with supergravity theories in various dimensions and their associated supermanifold formulations. Included is a discussion of harmonic superspace. The final topic is super-Riemann surfaces, their geometry and their role in string theory.

By: Alice Rogers (King's College London Uk), Paul Howe
Imprint: World Scientific Publishing Co Pte Ltd
Country of Publication: Singapore
Dimensions: Height: 220mm, Width: 155mm, Spine: 19mm
ISBN: 9789810212285
ISBN 10: 9810212283
Pages: 264
Publication Date: 01 January 2024
Audience: College/higher education , Professional and scholarly , Further / Higher Education , Undergraduate
Format: Hardback
Publisher's Status: Unspecified