Solvable Lie Algebras, BPS Black Holes and Supergravity Gaugings
Pietro Fre'
TL;DR
This paper reviews how solvable Lie algebras help characterize scalar fields in M-theory and facilitate deriving the most general BPS black hole solutions in supergravity.
Contribution
It introduces a novel algebraic approach using solvable Lie algebras to analyze scalar sectors and BPS black hole solutions in supergravity theories.
Findings
Solvable Lie algebras provide an intrinsic description of scalar fields.
The approach yields the most general BPS black hole solutions.
Framework advances understanding of supergravity gaugings.
Abstract
In this talk I review both accomplished results and work in progress on the use of solvable Lie algebras as an intrinsic algebraic characterization of the scalar field sector of M--theory low energy effective lagrangians. In particular I review the application of these techniques in obtaining the most general form of BPS black hole solutions.
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