Supersymmetry and First Order Equations for Extremal States: Monopoles, Hyperinstantons, Black-Holes and p-Branes

Abstract

In this lecture I review recent results on the first order equations describing BPS extremal states, in particular N=2 extremal black-holes. The role of special geometry is emphasized also in the rigid theory and a comparison is drawn with the supersymmetric derivation of instantons and hyperinstantons in topological field theories. Work in progress on the application of solvable Lie algebras to the discussion of BPS states in maximally extended supergravities is outlined.

LaTeX, {article.sty, espcrc2.sty} 11 twocolumn pages. Invited Seminar given at Santa Margerita Conference on Contrained Dynamics and Quantum Gravity September 1995. In the replaced version misprints have been corrected and some sentences have been modified

References in corpus (7)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• Unity of Superstring Dualities
• Twisted N=2 Supergravity as Topological Gravity in Four Dimensions
• Topological Sigma-Models in Four Dimensions and Triholomorphic Maps
• Topological Twist in Four Dimensions, R-Duality and Hyperinstantons
• Gauged Hyperinstantons and Monopole Equations

Cited by in corpus (9)

• Lectures on on Black Holes, Topological Strings and Quantum Attractors (2.0)
• Supergravity Instantons for N=2 Hypermultiplets
• Attractors at weak gravity
• N=8 BPS black holes preserving 1/8 supersymmetry
• Complex Multiplication Symmetry of Black Hole Attractors
• N=2 Supersymmetry and String-Loop Corrected Magnetic Black Holes
• New supersymmetric black holes in four dimensional N=2 supergravity
• Dyonic Black Holes with String-Loop Corrections
• Near-horizon behavior of string-loop-corrected dyonic black holes