Supersymmetry in Mathematics and Physics
Supersymmetry in Mathematics and Physics UCLA Los Angeles, USA 2010 / [electronic resource] :
edited by Sergio Ferrara, Rita Fioresi, V.S. Varadarajan.
- X, 273 p. 8 illus. online resource.
- Lecture Notes in Mathematics, 2027 0075-8434 ; .
- Lecture Notes in Mathematics, 2027 .
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.
9783642217449
10.1007/978-3-642-21744-9 doi
Geometry.
Mathematical physics.
Topological Groups.
Geometry.
Quantum Field Theories, String Theory.
Mathematical Methods in Physics.
Topological Groups, Lie Groups.
Mathematical Physics.
Classical and Quantum Gravitation, Relativity Theory.
QA440-699
516
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.
9783642217449
10.1007/978-3-642-21744-9 doi
Geometry.
Mathematical physics.
Topological Groups.
Geometry.
Quantum Field Theories, String Theory.
Mathematical Methods in Physics.
Topological Groups, Lie Groups.
Mathematical Physics.
Classical and Quantum Gravitation, Relativity Theory.
QA440-699
516