Poincare' dual of D=4 N=2 Supergravity with Tensor Multiplets

We study, in an arbitrary even number D of dimensions, the duality between massive D/2 tensors coupled to vectors, with masses given by an arbitrary number of ``electric'' and ``magnetic'' charges, and (D/2-1) massive tensors. We develop a formalism to dualize the Lagrangian of D=4, N=2 supergravity coupled to tensor and vector multiplets, and show that, after the dualization, it is equivalent to a standard D=4, N=2 gauged supergravity in which the Special Geometry quantities have been acted on by a suitable symplectic rotation.Comment: 15 pages, JHEP3 class, v2 typos corrected, references adde

D=4, N=2 Supergravity with Abelian electric and magnetic charges

We discuss the relation between standard N=2 supergravity with translational gauging and N=2 supergravities with scalar-tensor multiplets with massive tensors and Abelian electric charges. We point out that a symplectic covariant formulation of N=2 supergravity can be achieved just in the presence of tensor multiplets. As a consequence one can see that the formulation of the N=2 theory as it comes from IIB flux compactification, which is included in these models, is equivalent to a non perturbative phase of standard N=2 supergravity. It is also shown that the IIB tadpole cancellation condition is imposed by supersymmetry in four dimensions.Comment: 10 pages LaTex, no figure

D=4, N=2 Supergravity in the Presence of Vector-Tensor Multiplets and the Role of higher p-forms in the Framework of Free Differential Algebras

We thoroughly analyze at the bosonic level, in the framework of Free Differential Algebras (FDA), the role of 2-form potentials setting in particular evidence the precise geometric formulation of the anti-Higgs mechanism giving mass to the tensors. We then construct the (super)-FDA encoding the coupling of vector-tensor multiplets in D=4, N=2 supergravity, by solving the Bianchi identities in superspace and thus retrieving the full theory up to 3-fermions terms in the supersymmetry transformation laws, leaving the explicit construction of the Lagrangian to future work. We further explore the extension of the bosonic FDA in the presence of higher p-form potentials, focussing our attention to the particular case p=3, which would occur in the construction of D=5, N=2 supergravity where some of the scalars are properly dualized.Comment: 39 pages, improved introduction, section 4 and Appendices modified, typos corrected, citations adde

N=1 domain wall solutions of massive type II supergravity and the issue of mirror symmetry

We report on Domain Wall solution of Calabi-Yau compactifications with general fluxes and their application to the study of mirror symmetry in generalized backgrounds. We address, in particular, to the issue of magnetic NSNS fluxes. We show that the Domain Wall gradient flow equations can be interpreted as a set of generalized Hitchin's flow equations of a manifold with SU(3)x SU(3) structure fibered along the direction transverse to the Domain wall.Comment: To appear in the proceedings of 2nd RTN Network Workshop and Midterm Meeting: Constituents, Fundamental Forces and Symmetries of the Universe, Naples, Italy, 9-13 Oct 200

D=4, N=2 Gauged Supergravity coupled to Vector-Tensor Multiplets

We construct the general four-dimensional N=2 supergravity theory coupled to vector and vector-tensor multiplets only. Consistency of the construction requires the introduction of the vector fields dual to those sitting in the same supermultiplets as the antisymmetric tensors, as well as the scalar fields dual to the tensors themselves. Gauge symmetries also involving these additional fields guarantee the correct counting of the physical degrees of freedom.Comment: Typos corrected, references adde