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Jordan meets Freudenthal. A Black Hole Exceptional Story

by Alessio Marrani

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Submission summary

Authors (as registered SciPost users): Alessio Marrani
Submission information
Preprint Link: scipost_202307_00003v1  (pdf)
Date accepted: 2023-08-11
Date submitted: 2023-07-02 23:02
Submitted by: Marrani, Alessio
Submitted to: SciPost Physics Proceedings
Proceedings issue: 34th International Colloquium on Group Theoretical Methods in Physics (GROUP2022)
Ontological classification
Academic field: Physics
  • High-Energy Physics - Theory
  • Mathematical Physics
Approach: Theoretical


Within the extremal black hole attractors arising in ungauged N > 1-extended Maxwell Einstein supergravity theories in 3+ 1 space-time dimensions, we provide an overview of the stratification of the electric-magnetic charge representation space into “large” orbits and related “moduli spaces”, under the action of the (continuous limit of the) non-compact U-duality Lie group. While each “large” orbit of the U-duality supports a class of attractors, the corresponding “moduli space” is the proper subspace of the scalar manifold spanned by those scalar fields on which the Attractor Mechanism is inactive. We present the case study concerning N = 2 supergravity theories with symmetric vector multiplets’ scalar manifold, which in all cases (with the exception of the minimally coupled models) have the electric-magnetic charge representation of U-duality fitting into a reduced Freudenthal triple system over a cubic (simple or semi-simple) Jordan algebra.

Published as SciPost Phys. Proc. 14, 009 (2023)

Submission & Refereeing History

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Submission scipost_202307_00003v1 on 2 July 2023

Reports on this Submission

Anonymous Report 1 on 2023-8-3 (Invited Report)


This is a summary/short review of aspects of the black hole attractor mechanism and the classification of duality orbits of BH charges in N=2 D=4 ungauged supergravity. Most of this dates back to 2013 and (much) earlier. It can work as a short summary with convenient pointers to the literature. It matches with the topic of the associated conference.

  • validity: good
  • significance: good
  • originality: -
  • clarity: good
  • formatting: excellent
  • grammar: excellent

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