Effective superpotentials obtained by integrating out matter in super YangMills and conformal supergravity backgrounds inN = 1 SUSY theories are considered. The pure gauge and supergravity contributions (generalizing Veneziano-Yankielowicz terms) are derived by considering the case with matter fields in the fundamental representation of the gauge group. These contributions represent quantum cor...

We study the five-dimensional supergravity dual of the a-maximization under AdS5/CFT4 duality. We firstly show that the a-maximization is mapped to the attractor equation in five-dimensional gauged supergravity, and that the trial a-function is the inverse cube of the superpotential of the five-dimensional theory. There is also a version of a-maximization in which one extremizes over Lagrange m...

We propose the 4D, N = 1 supergravitational analogues (avatars) of the 4D, N = 1 supersymmetric Born-Infeld action in four dimensions for the first time, by using superspace. In particular, a new Born-Infeld type generalization of the Weyl supergravity action is given. A natural new Born-Infeld type generalization of the Einstein supergravity is found as well. We also brielfy discuss a construc...

We study two dimensional dilaton gravity and supergravity following hamiltonian methods. Firstly, we consider the structure of constraints of 2D dilaton gravity and then the 2D dilaton supergravity theory is obtained taking the square root of the bosonic constraints. We integrate exactly the equations of motion in both cases and we show that the solutions of the equation of motion of 2D dilaton...

We provide a classification of near-horizon geometries of supersymmetric, asymptotically antide Sitter, black holes of five-dimensional U(1)-gauged supergravity which admit two rotational symmetries. We find three possibilities: a topologically spherical horizon, an S1×S2 horizon and a toroidal horizon. The near-horizon geometry of the topologically spherical case turns out to be that of the mo...

We consider the most general class of supersymmetric solutions of D = 11 supergravity consisting of a warped product ofAdS5 with a six-dimensional internal manifold N6, which are dual to N = 2 super conformal field theories in d = 4. For any such N6 we construct the full non-linear KaluzaKlein ansatz for the reduction of D = 11 supergravity on N6 down to D = 5 SU(2) × U(1) gauged supergravity, ...