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Non-BPS attractors in 5d and 6d extended supergravity

Profile image of Sergio FerraraSergio FerraraProfile image of Laura AndrianopoliLaura Andrianopoli

2008, Nuclear Physics B

https://doi.org/10.1016/J.NUCLPHYSB.2007.11.025
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Abstract

We connect the attractor equations of a certain class of N = 2, d = 5 supergravities with their (1, 0), d = 6 counterparts, by relating the moduli space of non-BPS d = 5 black hole/black string attractors to the moduli space of extremal dyonic black string d = 6 non-BPS attractors. For d = 5 real special symmetric spaces and for N = 4, 6, 8 theories, we explicitly compute the flat directions of the black object potential corresponding to vanishing eigenvalues of its Hessian matrix. In the case N = 4, we study the relation to the (2, 0), d = 6 theory. We finally describe the embedding of the N = 2, d = 5 magic models in N = 8, d = 5 supergravity as well as the interconnection among the corresponding charge orbits.

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    We generalize the description of the d = 4 Attractor Mechanism based on an effective black hole (BH) potential to the presence of a gauging which does not modify the derivatives of the scalars and does not involve hypermultiplets. The obtained results do not rely necessarily on supersymmetry, and they can be extended to d > 4, as well.

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    Iwasawa nilpotency degree of non compact symmetric cosets in \documentclass{article}\usepackage{amssymb}\pagestyle{empty}\begin{document}$ \mathcal{N} $\end{document}-extended supergravity
    Alessio Marrani

    Fortschritte der Physik, 2014

    We analyze the polynomial part of the Iwasawa realization of the coset representative of non compact symmetric Riemannian spaces. We start by studying the role of Kostant's principal SU (2) P subalgebra of simple Lie algebras, and how it determines the structure of the nilpotent subalgebras. This allows us to compute the maximal degree of the polynomials for all faithful representations of Lie algebras. In particular the metric coefficients are related to the scalar kinetic terms while the representation of electric and magnetic charges is related to the coupling of scalars to vector field strengths as they appear in the Lagrangian.

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