TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysProc.14.009
TI  - Jordan meets Freudenthal. A black hole exceptional story
PY  - 2023/11/23
UR  - https://scipost.org/SciPostPhysProc.14.009
JF  - SciPost Physics Proceedings
JA  - SciPost Phys. Proc.
VL  - 
IS  - 14
SP  - 009
A1  - Marrani, Alessio
AB  - Within the extremal black hole attractors arising in ungauged $\mathcal{N}≥ 2$-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 $\mathcal{N}=2$ 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.
ER  -

@Article{10.21468/SciPostPhysProc.14.009,
	title={{Jordan meets Freudenthal. A black hole exceptional story}},
	author={Alessio Marrani},
	journal={SciPost Phys. Proc.},
	pages={009},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhysProc.14.009},
	url={https://scipost.org/10.21468/SciPostPhysProc.14.009},
}