1.

Record Nr.

UNINA9910736989003321

Autore

Frè Pietro Giuseppe

Titolo

Advances in Geometry and Lie Algebras from Supergravity [[electronic resource] /] / by Pietro Giuseppe Frè

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018

ISBN

3-319-74491-7

Edizione

[1st ed. 2018.]

Descrizione fisica

1 online resource (570 pages)

Collana

Theoretical and Mathematical Physics, , 1864-5879

Disciplina

516.36

Soggetti

Elementary particles (Physics)

Quantum field theory

Physics

Differential geometry

Mathematical physics

Elementary Particles, Quantum Field Theory

History and Philosophical Foundations of Physics

Differential Geometry

Theoretical, Mathematical and Computational Physics

Mathematical Physics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references at the end of each chapters.

Nota di contenuto

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/Γ Singularities -- 9 Epilogue -- 10 The Bibliography.

Sommario/riassunto

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. .