Advances in Geometry and Lie Algebras from Supergravity

Gebonden Engels 2018 9783319744902
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

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. 

Specificaties

ISBN13:9783319744902
Taal:Engels
Bindwijze:gebonden
Uitgever:Springer International Publishing

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Inhoudsopgave

<p>1 Finite Groups and Lie Algebras</p> <p>2 Isometries and the Geometry of COSET Manifolds</p> <p>3 Complex and Quaternionic Geometry</p> <p>4 Special Geometries</p> <p>5 Solvable Algebras and the TITS Satake Projection</p> <p>6 Black Holes and Nilpotent Orbits<br/></p> <p>7 E7, F4 and supergravitiy scalar potentials</p> <p>8 (Hyper)Kaehler Quotients, Ale-Manifolds and Cn/Γ Singularities</p><p>9 Epilogue</p><p>10 The Bibliography</p>

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        Advances in Geometry and Lie Algebras from Supergravity