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Supersymmetry in Mathematics and Physics [electronic resource] : UCLA Los Angeles, USA 2010 / edited by Sergio Ferrara, Rita Fioresi, V.S. Varadarajan.

By: Ferrara, Sergio [editor.].
Contributor(s): Fioresi, Rita [editor.] | Varadarajan, V.S [editor.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Lecture Notes in Mathematics: 2027Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011Description: X, 273p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783642217449.Subject(s): Mathematics | Topological Groups | Geometry | Mathematical physics | Mathematics | Geometry | Quantum Field Theories, String Theory | Mathematical Methods in Physics | Topological Groups, Lie Groups | Mathematical Physics | Classical and Quantum Gravitation, Relativity TheoryDDC classification: 516 Online resources: Click here to access online
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.
In: Springer eBooksSummary: 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.
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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.

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