Symmetry in Mathematics and Physics

Conley, Charles H.

doi:10.1090/conm/490

Cited by 4 publications

(1 citation statement)

References 13 publications

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“…where H 0 × U (1) is the maximal compact subgroup (mcs) of the U-duality group G. They have been classified in [30,31] (see e.g. [32] for a quite recent account), and they are reported in Table 1. All the corresponding supergravity theories actually have a five-dimensional origin, since they can be obtained from "parent" (minimally supersymmetric) N = 2 supergravities in 4+1 space-time dimensions, by compactifying à la Kaluza-Klein on S 1 , and retaining the massless sector.…”

Section: Su(33) S(u(3)×u(mentioning

confidence: 99%

Jordan meets Freudenthal. A black hole exceptional story

Marrani

2023

SciPost Phys. Proc.

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Within the extremal black hole attractors arising in ungauged \mathcal{N}≥2𝒩≥2-extended Maxwell Einstein supergravity theories in 3+13+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 UU-duality Lie group. While each “large” orbit of the UU-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}=2𝒩=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 UU-duality fitting into a reduced Freudenthal triple system over a cubic (simple or semi-simple) Jordan algebra.

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Section: Su(33) S(u(3)×u(mentioning

confidence: 99%

Jordan meets Freudenthal. A black hole exceptional story

Marrani

2023

SciPost Phys. Proc.

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Irreducible Representations of Finite Lie Conformal Algebras of Planar Galilean Type

Han

Wang

Xia

2020

Reports on Mathematical Physics

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Iwasawa N=8 attractors

Cacciatori

Cerchiai

Marrani

2010

Journal of Mathematical Physics

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Starting from the symplectic construction of the Lie algebra e 7(7) due to Adams, we consider an Iwasawa parametrization of the coset E 7(7) SU (8) , which is the scalar manifold of N = 8, d = 4 supergravity. Our approach, and the manifest off-shell symmetry of the resulting symplectic frame, is determined by a non-compact Cartan subalgebra of the maximal subgroup SL(8, R) of E 7(7) .In absence of gauging, we utilize the explicit expression of the Lie algebra to study the origin ofSU (8) as scalar configuration of a 1 8 -BPS extremal black hole attractor. In such a framework, we highlight the action of a U (1) symmetry spanning the dyonic 1 8 -BPS attractors. Within a suitable supersymmetry truncation allowing for the embedding of the Reissner-Nördstrom black hole, this U (1) is interpreted as nothing but the global R-symmetry of pure N = 2 supergravity.Moreover, we find that the above mentioned U (1) symmetry is broken down to a discrete subgroup Z 4 , implying that all 1 8 -BPS Iwasawa attractors are non-dyonic near the origin of the scalar manifold. We can trace this phenomenon back to the fact that the Cartan subalgebra of SL(8, R) used in our construction endows the symplectic frame with a manifest off-shell covariance which is smaller than SL(8, R) itself. Thus, the consistence of the Adams-Iwasawa symplectic basis with the action of the U (1) symmetry gives rise to the observed Z 4 residual non-dyonic symmetry.

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Symmetry in Mathematics and Physics

Cited by 4 publications

References 13 publications

Jordan meets Freudenthal. A black hole exceptional story

Jordan meets Freudenthal. A black hole exceptional story

Irreducible Representations of Finite Lie Conformal Algebras of Planar Galilean Type

Iwasawa N=8 attractors

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