Geometry Meets Supersymmetry

Name: Geometry Meets Supersymmetry
Price: 322.75 AUD
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ISBN: 9789819817665

Andrei Smilga (University Of Nantes, France)

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Hardback

Forthcoming
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English

World Scientific Publishing Co Pte Ltd
13 March 2026

Differential & Riemannian geometry; Particle & high-energy physics; Mathematical physics

Summary
Details

This book is devoted to description of different geometric structures, including the classical structures of differential geometry like de Rham complex, Dolbeaux complex and

Dirac complex and also some structures that have not attracted yet an attention of mathematicians in the language of supersymmetric quantum mechanics. The book is addressed both to physicists and mathematicians.

The first part is addressed mainly to physicists and describes basic properties of smooth manifolds of different type: real, complex, Kaehler, hyperkaehler and HKT. The second part is addressed to mathematicians and describes basic properties of classical and quantum mechanical systems, including supersymmetric systems with Grassmann dynamic variables. The third part is called Synthesis: we show how the physical methods allow one to describe in a simple way and understand many nontrivial geometric facts. For example, the famous Atiyah-Singer theorem admits a rather natural and simple supersymmetric interpretation.

This book is an updated and expanded version of the book Differential geometry through supersymmetric glasses published in 2020 by World Scientific. New material on hyperkaehler geometry and its supersymmetric description and on the gauge fields in CPn manifolds is added.

By: Andrei Smilga (University Of Nantes France)
Imprint: World Scientific Publishing Co Pte Ltd
Country of Publication: Singapore
ISBN: 9789819817665
ISBN 10: 9819817668
Pages: 400
Publication Date: 13 March 2026
Audience: Professional and scholarly , College/higher education , Undergraduate , Further / Higher Education
Format: Hardback
Publisher's Status: Forthcoming