Supersymmetry in Mathematics and Physics [electronic resource] : UCLA Los Angeles, USA  2010 /
Ferrara, Sergio.editor.
Fioresi, Rita.editor.
Varadarajan, V.S.editor.
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.
Bibliographic Level Mode of Issuance: Monograph
Includes bibliographical references.
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.
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.
Geometry.
Quantum field theory.
String theory.
Physics.
Topological groups.
Lie groups.
Mathematical physics.
Gravitation.
Geometry.
Quantum Field Theories, String Theory.
Mathematical Methods in Physics.
Topological Groups, Lie Groups.
Mathematical Physics.
Classical and Quantum Gravitation, Relativity Theory.
Lecture notes in mathematics