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We show that BPS jumping loci -- loci in the moduli space of string compactifications where the number of BPS states jumps in an upper semi-continuous manner -- naturally appear as Fourier coefficients of (vector space-valued) automorphic…

High Energy Physics - Theory · Physics 2018-03-14 Shamit Kachru , Arnav Tripathy

2+1-dimensional Anti-deSitter gravity is quantized in the presence of an external scalar field. We find that the coupling between the scalar field and gravity is equivalently described by a perturbed conformal field theory at the boundary…

High Energy Physics - Theory · Physics 2009-10-31 Roberto Emparan , Ivo Sachs

We relate across dimensions BPS attractors of black strings and black holes of various topology in gauged supergravities with nontrivial scalar potential. The attractors are of the form AdS$_{2, 3} \times \Sigma^{2, 3}$ in 4, 5, and 6…

High Energy Physics - Theory · Physics 2015-06-23 Kiril Hristov

We analyze a broad class of stationary solutions with residual N=1 supersymmetry of four-dimensional N=2 supergravity theories with terms quadratic in the Weyl tensor. These terms are encoded in a holomorphic function, which determines the…

High Energy Physics - Theory · Physics 2016-09-06 G. L. Cardoso , B. de Wit , J. Käppeli , T. Mohaupt

It has been recently established in \textit{Phys.Lett.B 861 (2025) 139260} that regular, asymptotically flat black holes exist in pure gravity theories in dimension greater than four. We extend this result to asymptotically Anti-de Sitter…

High Energy Physics - Theory · Physics 2025-06-17 Monserrat Aguayo , Leonardo Gajardo , Nicolás Grandi , Javier Moreno , Julio Oliva , Martín Reyes

Dimensional reduction along time offers a powerful way to study stationary solutions of 4D symmetric supergravity models via group-theoretical methods. We apply this approach systematically to extremal, BPS and non-BPS, spherically…

High Energy Physics - Theory · Physics 2016-09-08 Guillaume Bossard , Yann Michel , Boris Pioline

The quantum mechanics of N slowly-moving charged BPS black holes in five-dimensional ${\cal N}=1$ supergravity is considered. The moduli space metric of the N black holes is derived and shown to admit 4 supersymmetries. A near-horizon limit…

High Energy Physics - Theory · Physics 2009-10-31 Jeremy Michelson , Andrew Strominger

We argue that supersymmetric BPS states can act as efficient finite energy probes of the moduli space geometry thanks to the attractor mechanism. We focus on 4d $\mathcal{N}=2$ compactifications and capture aspects of the effective field…

High Energy Physics - Theory · Physics 2023-05-30 Matilda Delgado , Miguel Montero , Cumrun Vafa

We complete the study of static BPS, asymptotically AdS$_4$ black holes within N=2 FI-gauged supergravity and where the scalar manifold is a homogeneous very special Kahler manifold. We find the analytic form for the general solution to the…

High Energy Physics - Theory · Physics 2015-06-22 Nick Halmagyi

We study the stabilization of scalars near a supersymmetric black hole horizon using the equation of motion of a particle moving in a potential and background metric. When the relevant 4-dimensional theory is described by special geometry,…

High Energy Physics - Theory · Physics 2009-10-07 Sergio Ferrara , Gary W. Gibbons , Renata Kallosh

The general solutions of the radial attractor flow equations for extremal black holes, both for non-BPS with non-vanishing central charge Z and for Z=0, are obtained for the so-called stu model, the minimal rank-3 N=2 symmetric supergravity…

High Energy Physics - Theory · Physics 2015-05-13 S. Bellucci , S. Ferrara , A. Marrani , A. Yeranyan

We review some aspects of the attractor mechanism for extremal black holes of (not necessarily supersymmetric) theories coupling Einstein gravity to scalars and Maxwell vector fields. Thence, we consider N=2 and N=8, d=4 supergravities,…

High Energy Physics - Theory · Physics 2008-11-26 S. Ferrara , A. Marrani

We report on recent results in the study of extremal black hole attractors in N=2, d=4 ungauged Maxwell-Einstein supergravities. For homogeneous symmetric scalar manifolds, the three general classes of attractor solutions with non-vanishing…

High Energy Physics - Theory · Physics 2018-07-25 S. Bellucci , S. Ferrara , M. Gunaydin , A. Marrani

The BMS symmetry and related near horizon symmetry play important roles in holography in asymptotically flat spacetimes. They may also be crucial for solving the information paradox. But we still don't fully understand those…

General Relativity and Quantum Cosmology · Physics 2018-11-08 Jingbo Wang

Using the general recipe given in arXiv:0804.0009, where all timelike supersymmetric solutions of N=2, D=4 gauged supergravity coupled to abelian vector multiplets were classified, we construct the first examples of genuine supersymmetric…

High Energy Physics - Theory · Physics 2015-05-14 Sergio L. Cacciatori , Dietmar Klemm

We consider extremal black hole attractors (both BPS and non-BPS) for N=3 and N=5 supergravity in d=4 space-time dimensions. Attractors for matter-coupled N=3 theory are similar to attractors in N=2 supergravity minimally coupled to Abelian…

High Energy Physics - Theory · Physics 2009-02-20 S. Ferrara , A. Gnecchi , A. Marrani

We elaborate further on the static supersymmetric AdS_4 black holes found in arXiv:0911.4926, investigating thoroughly the BPS constraints for spherical symmetry in N = 2 gauged supergravity in the presence of Fayet-Iliopoulos terms. We…

High Energy Physics - Theory · Physics 2015-05-20 Kiril Hristov , Stefan Vandoren

The Hesse potential is constructed for a class of four-dimensional N=2 supersymmetric effective actions with S- and T-duality by performing the relevant Legendre transform by iteration. It is a function of fields that transform under…

High Energy Physics - Theory · Physics 2013-12-04 G. L. Cardoso , B. de Wit , S. Mahapatra

For a given attractor black hole with generic D6-D4-D2-D0-charges in four dimensions we identify the set of supersymmetric branes, static or stationary in global coordinates, of the corresponding eleven-dimensional near horizon geometry.…

High Energy Physics - Theory · Physics 2010-10-27 S. Ansari , J. D. Laenge , I. Sachs

We give a geometric interpretation for superconformal quantum mechanics defined on a hyper-Kahler cone which has an equivariant symplectic resolution. BPS states are identified with certain twisted Dolbeault cohomology classes on the…

High Energy Physics - Theory · Physics 2023-11-10 Nick Dorey , Boan Zhao