Advances in Geometry and Lie Algebras from Supergravity
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Beschreibung
This book aims to provide an overview of several topics in advanced Differential Geometry and Lie Group Theory, all of them stemming from mathematical problems in supersymmetric physical theories. It presents a mathematical illustration of the main development in geometry and symmetry theory that occurred under the fertilizing influence of supersymmetry/supergravity.
The contents are mainly of mathematical nature, but each topic is introduced by historical information and enriched with motivations from high energy physics, which help the reader in getting a deeper comprehension of the subject.
This book aims to provide an overview of several topics in advanced differential geometry and Lie group theory, all of them stemming from mathematical problems in supersymmetric physical theories. It presents a mathematical illustration of the main development in geometry and symmetry theory that occurred under the fertilizing influence of supersymmetry/supergravity.
The contents are mainly of mathematical nature, but each topic is introduced by historical information and enriched with motivations from high energy physics, which help the reader in getting a deeper comprehension of the subject.
A graduate level text for students and young researchers with interests in the applications of differential geometry to mathematical physics A useful reference that connects the topics of differential geometry and Lie group algebra to high energy physics research problems Enriched with historical introductions to all chapters
Autor*in
Pietro Giuseppe Frè
Themen in »Advances in Geometry and Lie Algebras from Supergravity«
Supersymmetry/supergravity. Group theory for physicists Lie groups Special geometries Black holes Geometry of symmetric spaces Strings and branes Differential geometry of Coset manifolds quaternionic geometry Kaehler quotient ale manifolds nilpotent orbits Tits-Satake projection