Advances in Geometry and Lie Algebras from Supergravity
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ISBN-13:
9783319744902
Veröffentl:
2018
Einband:
HC runder Rücken kaschiert
Erscheinungsdatum:
08.03.2018
Seiten:
576
Autor:
Pietro Giuseppe Frè
Gewicht:
1126 g
Format:
241x160x35 mm
Serie:
Theoretical and Mathematical Physics
Sprache:
Englisch
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.
A graduate level text for students and young researchers with interests in the applications of differential geometry to mathematical physics
1 Finite Groups and Lie Algebras.- 2 Isometries and the Geometry of COSET Manifolds.- 3 Complex and Quaternionic Geometry.- 4 Special Geometries.- 5 Solvable Algebras and the TITS Satake Projection.- 6 Black Holes and Nilpotent Orbits.- 7 E7, F4 and supergravitiy scalar potentials.- 8 (Hyper)Kaehler Quotients, Ale-Manifolds and Cn/¿ Singularities.- 9 Epilogue.- 10 The Bibliography.
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