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Supersymmetry and first order equations for extremal states: Monopoles, hyperinstantons, black holes and p-branes

1997/01/16 by P. Fré, Pietro Fre' · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Non-Hermitian Physics #hep-th

paper · pdf · doi:10.1016/s0920-5632(97)00353-8

published as Nucl.Phys.Proc.Suppl. 57 (1997) 52-64 · 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

arxiv created 1997/01/16 · openalex publication_date 1997/08/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

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