Supersymmetry in Mathematics and Physics - UCLA Los Angeles, USA 2010

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.

List of contents

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.

Product details

• Assisted by: Sergio Ferrara (Editor), Rita Fioresi (Editor), V. S. Varadarajan (Editor), V.S. Varadarajan (Editor), Veeravalli S. Varadarajan (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 28.08.2011
• EAN: 9783642217432
• ISBN: 978-3-642-21743-2
• No. of pages: 273
• Dimensions: 155 mm x 229 mm x 17 mm
• Weight: 443 g
• Illustrations: X, 273 p. 8 illus.
• Series: Lecture Notes in Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Geometry; Gravitation, B, Gravity, geometry, Physics, Mathematics and Statistics, String Theory, Quantum field theory, Elementary Particles, Quantum Field Theory, Relativity physics, Mathematical physics, Topological Groups, Lie Groups, Topological groups, Lie groups, Topological Groups and Lie Groups, Groups & group theory, Mathematical Methods in Physics, Classical and Quantum Gravity, Classical and Quantum Gravitation, Relativity Theory, Statistical physics, Quantum Field Theories, String Theory