Supersymmetry in Mathematics and Physics

UCLA Los Angeles, USA 2010
1. Auflage 2011
ISBN: 978-3-642-21743-2
Verlag: Springer

Buch, Englisch, Band 2027, 273 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 441 g

Reihe: Lecture Notes in Mathematics

Supersymmetry was created by the physicists in the 1970's to give a unified treatment of fermions and bosons, the basic constituents of matter. Since then its mathematical structure has been recognized as that of a new development in geometry, and mathematicians have busied themselves with exploring this aspect. This volume collects recent advances in this field, both from a physical and a mathematical point of view, with an accent on a rigorous treatment of the various questions raised.

Zielgruppe

Research

Autoren/Hrsg.

Ferrara, Sergio

Fioresi, Rita

Varadarajan, V.S.

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Geometrie Geometrie der modernen Physik
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Physik Quantenphysik

Inhaltsverzeichnis

Introduction.- Black Holes and First Order Flows in Supergravity.- Representations of Super Lie Groups: Some Remarks.- On Chiral Quantum Superspaces.- On the Construction of Chevalley Supergroup.- Indecomposable Finite-dimensional Representations of a Class o f Lie algebras and Lie Superalgebras.- On the Geometry of Super Riemann Surfaces.- Charge Orbits and Moduli Spaces of Black Hole Attractors.- Maximal Supersymmetry.- Lie Supergroups, Unitary Representations, and Invariant Cones.- Geometry of Dual Pairs of Complex Supercurves.- On the Superdimension of an Irreducible Representation.