Advances in Geometry and Lie Algebras from Supergravity

  • Authors
  • Pietro Giuseppe Frè

Part of the Theoretical and Mathematical Physics book series (TMP)

Table of contents

  1. Front Matter
    Pages i-xx
  2. Pietro Giuseppe Fré
    Pages 69-98
  3. Pietro Giuseppe Fré
    Pages 99-171
  4. Pietro Giuseppe Fré
    Pages 173-201
  5. Pietro Giuseppe Fré
    Pages 203-263
  6. Pietro Giuseppe Fré
    Pages 265-343
  7. Pietro Giuseppe Fré
    Pages 345-446
  8. Pietro Giuseppe Fré
    Pages 553-556

About this book


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. 


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

Bibliographic information