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Mathematics - Geometry & Topology | Supersymmetry in Mathematics and Physics - UCLA Los Angeles, USA 2010

Supersymmetry in Mathematics and Physics

UCLA Los Angeles, USA 2010

Series: Lecture Notes in Mathematics, Vol. 2027

Ferrara, Sergio, Fioresi, Rita, Varadarajan, Veeravalli Seshadri (Eds.)

2011, X, 273p.

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  • About this book

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.

Content Level » Research

Keywords » 81-XX; 58A50; 14A22; 14M30; 32C11 - blackholes - representations of super Lie groups and super lie algebras - super algebraic geometry - superfields

Related subjects » Algebra - Geometry & Topology - Theoretical, Mathematical & Computational Physics

Table 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.

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