d-geometries revisited

Ceresole, Anna; Ferrara, S.; Gnecchi, Alessandra; Marrani, Alessio

doi:10.1007/jhep02(2013)059

Cited by 6 publications

(16 citation statements)

References 45 publications

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“…The result (2.41) on the degree of nilpotency d + 1 = 4 of the unique Iwasawa generator is consistent with the treatment recently given in [44]; indeed, for the T 3 model, which uplifts to five-dimensional minimal "pure" supergravity, the (partial) axionic Iwasawa construction exploited in [44] (in particular, cfr. Sec.…”

Section: 2supporting

confidence: 86%

“…2 (spin s = 1/2) of G nc = SL(2, R), with a 2 × 2 coset representative M; this case is relevant both to four-dimensional N = 4 "pure" supergravity as well as to N = 2 supergravity minimally coupled to one Abelian vector multiplet (this latter theory can indeed be obtained from the former by a consistent truncation of graviphotons and gravitinos), and it has been recently reconsidered in Sec. 5 of [44]. On the other hand, the coset (2.40) can also be considered as the scalar manifold of the so-called T 3 model of N = 2, D = 4 Maxwell-Einstein supergravity, in which the unique Abelian vector multiplet is coupled non-minimally, but rather through a cubic holomorphic prepotential F = T 3 , to the gravity multiplet.…”

Section: 2mentioning

confidence: 99%

“…exploited in the present paper, and the Iwasawa construction restricted to the axionic generators of the D = 4 U -duality group G 4 , recently studied in [44]. Note that in (5.19) the sums are not direct, but they do respect the Lie algebra g 4 ; h 4 denotes the Lie algebra of H 4 = mcs (G 4 ), while a 4 and n 4 respectively stand for the (maximal) Abelian (Cartan) non compact sub-algebra (whose dimension equals the rank r of G 4 H 4 ; cfr.…”

Section: Universal Nilpotency Degree Of Axionic Iwasawa Generators Cmentioning

confidence: 99%

“…On the other hand, the Iwasawa parametrization of the axionic generators of E 7(−25) , performed in [44], considers the maximal triangular subgroup of E 7(−25) , containing the D = 5 U -duality group G 5 ≡ G 5,O = E 6(−26) :…”

Section: Universal Nilpotency Degree Of Axionic Iwasawa Generators Cmentioning

confidence: 99%

“…In this case, the maximal degree d pertaining to the set of axionic generators T 27 of the rank-3 special Kähler symmetric coset [6,44,72,73]. This is universal, namely it concerns the axionic generators of the global electric-magnetic isometries of all D = 4 theories which enjoy a D = 5 uplift, even in the case of non-symmetric nor homogeneous (vector multiplets') scalar manifolds.…”

Section: Universal Nilpotency Degree Of Axionic Iwasawa Generators Cmentioning

confidence: 99%

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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

Cacciatori

Cerchiai

Ferrara

et al. 2014

Fortschritte der Physik

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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.We consider symmetric scalar manifolds in N−extended supergravity in various space-time dimensions, elucidating various relations with the underlying Jordan algebras and normed Hurwitz algebras. For magic supergravity theories, our results are consistent with the Tits-Satake projection of symmetric spaces and the nilpotency degree turns out to depend only on the space-time dimension of the theory.These results should be helpful within a deeper investigation of the corresponding supergravity theory, e.g. in studying ultraviolet properties of maximal supergravity in various dimensions.

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Section: 2supporting

confidence: 86%

Section: 2mentioning

confidence: 99%

Section: Universal Nilpotency Degree Of Axionic Iwasawa Generators Cmentioning

confidence: 99%

Section: Universal Nilpotency Degree Of Axionic Iwasawa Generators Cmentioning

confidence: 99%

Section: Universal Nilpotency Degree Of Axionic Iwasawa Generators Cmentioning

confidence: 99%

See 3 more Smart Citations

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

Cacciatori

Cerchiai

Ferrara

et al. 2014

Fortschritte der Physik

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BPS black holes in a non-homogeneous deformation of the stu model of N = 2, D = 4 gauged supergravity

Klemm

Marrani

Petri

et al. 2015

J. High Energ. Phys.

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We consider a deformation of the well-known stu model of N = 2, D = 4 supergravity, characterized by a non-homogeneous special Kähler manifold, and by the smallest electric-magnetic duality Lie algebra consistent with its upliftability to five dimensions. We explicitly solve the BPS attractor equations and construct static supersymmetric black holes with radial symmetry, in the context of U(1) dyonic Fayet-Iliopoulos gauging, focussing on axion-free solutions. Due to non-homogeneity of the scalar manifold, the model evades the analysis recently given in the literature. The relevant physical properties of the resulting black hole solution are discussed.

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Dualities near the horizon

Ferrara

Marrani

Orazi

et al. 2013

J. High Energ. Phys.

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In 4-dimensional supergravity theories, covariant under symplectic electricmagnetic duality rotations, a significant role is played by the symplectic matrix M(ϕ), related to the coupling of scalars ϕ to vector field-strengths. In particular, this matrix enters the twisted self-duality condition for 2-form field strengths in the symplectic formulation of generalized Maxwell equations in the presence of scalar fields.In this investigation, we compute several properties of this matrix in relation to the attractor mechanism of extremal (asymptotically flat) black holes. At the attractor points with no flat directions (as in the N = 2 BPS case), this matrix enjoys a universal form in terms of the dyonic charge vector Q and the invariants of the corresponding symplectic representation R Q of the duality group G, whenever the scalar manifold is a symmetric space with G simple and non-degenerate of type E 7 .At attractors with flat directions, M still depends on flat directions, but not MQ, defining the so-called Freudenthal dual of Q itself. This allows for a universal expression of the symplectic vector field strengths in terms of Q, in the near-horizon Bertotti-Robinson black hole geometry.

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d-geometries revisited

Cited by 6 publications

References 45 publications

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

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

BPS black holes in a non-homogeneous deformation of the stu model of N = 2, D = 4 gauged supergravity

Dualities near the horizon

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