Sorin Cucu

N=2 supergravity in five dimensions revisited

We construct matter-coupled N = 2 supergravity in five dimensions, using the superconformal approach. For the matter sector we take an arbitrary number of vector, tensor and hypermultiplets. By allowing off-diagonal vector-tensor couplings we find more general results than currently known in the literature. Our results provide the appropriate starting point for a systematic search for BPS solutions, and for applications of M-theory compactifications on Calabi-Yau manifolds with fluxes.

Superconformal N = 2, D = 5 matter with and without actions

We investigate N = 2, D = 5 supersymmetry and matter-coupled supergravity theories in a superconformal context. In a first stage we do not require the existence of a lagrangian. Under this assumption, we already find at the level of rigid supersymmetry, i.e. before coupling to conformal supergravity, more general matter couplings than have been considered in the literature. For instance, we construct new vector-tensor multiplet couplings, theories with an odd number of tensor multiplets, and hypermultiplets whose scalar manifold geometry is not hyperkahler. Next, we construct rigid superconformal lagrangians. This requires some extra ingredients that are not available for all dynamical systems. However, for the generalizations with tensor multiplets mentioned above, we find corresponding new actions and scalar potentials. Finally, we extend the supersymmetry to local superconformal symmetry, making use of the Weyl multiplet. Throughout the paper, we will indicate the various geometrical concepts that arise, and as an application we compute the non-vanishing components of the Ricci tensor of hypercomplex group manifolds. Our results can be used as a starting point to obtain more general matter-couplings to Poincare supergravity.

Weyl multiplets of N=2 conformal supergravity in five dimensions

We construct the Weyl multiplets of N = 2 conformal supergravity in five dimensions. We show that there exist two different versions of the Weyl multiplet, which contain the same gauge fields but differ in the matter field content: the Standard Weyl multiplet and the Dilaton Weyl multiplet. At the linearized level we obtain the transformation rules for the Dilaton Weyl multiplet by coupling it to the multiplet of currents corresponding to an on-shell vector multiplet. We construct the full non-linear transformation rules for both multiplets by gauging the D = 5 superconformal algebra F-2(4). We show that the Dilaton Weyl multiplet can also be obtained by solving the equations of motion for an improved vector multiplet coupled to the Standard Weyl multiplet.

Interpolating from AdSD-2 × S2 to AdSD

Abstract We investigate a large class of supersymmetric magnetic brane solutions supported by U(1) gauge fields in AdS gauged supergravities. We obtain first-order equations in terms of a superpotential. In particular, we find systems which interpolate between AdS D−2 ×Ω 2 (where Ω 2 =S 2 or H2) at the horizon and AdSD-type geometry in the asymptotic region, for 4⩽D⩽7. The boundary geometry of the AdSD-type metric is Minkowski D−3 ×Ω 2 . This provides smooth supergravity solutions for which the boundary of the AdS spacetime compactifies spontaneously. These solutions indicate the existence of a large class of superconformal field theories in diverse dimensions whose renormalization group flow runs from the UV to the IR fixed-point. We show that the same set of first-order equations also admits solutions which are asymptotically AdS D−2 ×Ω 2 but singular at small distance. This implies that the stationary AdS D−2 ×Ω 2 solutions typically lie on the inflection points of the modulus space.

A supersymmetric and smooth compactification of M-theory to AdS5

Abstract We obtain smooth M-theory solutions whose geometry is a warped product of AdS 5 and a compact internal space that can be viewed as an S 4 bundle over S 2 . The bundle can be trivial or twisted, depending on the even or odd values of the two diagonal monopole charges. The solution preserves N =2 supersymmetry and is dual to an N =1 , D =4 superconformal field theory, providing a concrete framework to study the AdS 5 / CFT 4 correspondence in M-theory. We construct analogous embeddings of AdS 4 , AdS 3 and AdS 2 in massive type IIA, type IIB and M-theory, respectively. The internal spaces have generalized holonomy and can be viewed as S n bundles over S 2 for n =4, 5 and 7. Surprisingly, the dimensions of spaces with generalized holonomy includes D =9. We also obtain a large class of solutions of AdS × H 2 .

Deformations of duality-symmetric theories

Abstract We prove that a sum of free non-covariant duality-symmetric actions does not allow consistent, continuous and local self-interactions that deform the gauge transformations. For instance, non-abelian deformations are not allowed, even in 4 dimensions where Yang–Mills type interactions of 1-forms are allowed in the non-manifestly duality-symmetric formulation. This suggests that non-abelian duality should require to leave the standard formalism of perturbative local field theories. The analyticity of self-interactions for a single duality-symmetric gauge field in four dimensions is also analyzed.

Antifield BRST quantization of duality symmetric Maxwell theory

We perform the antifield BRST quantization of duality-symmetric Maxwell theory and show explicitly the quantum equivalence of the different formulations (covariant and non-covariant). The non-covariant gauge-fixed action is used in the computation of propagators for this model.

Comments on duality symmetric theories

We briefly review the basics of electric-magnetic duality symmetry and their geometric interpretation in the M-theory context. Then we recall some no-go theorems that prevent a simple extension of the duality symmetry to non-Abelian gauge theories.