Abstract. In this paper we give an electrically charged traversable wormhole solution for the Einstein-Maxwell-dilaton theory when the dilaton is a phantom field, i.e. it has flipped sign kinetic term appearing in the action. In the limit when the charge is zero, we recover the anti-Fisher solution, which can be reduced to the Bronnikov-Ellis solution under certain choices of integration constants. The equations of motion of this theory share the same S-duality invariance of string theory, so the electrically charged solution is rotated into the magnetically charged one by applying such transformations. The scalar field is topological, so we compute its topological charge, and discuss that under appropriate boundary conditions we can have a lump, a kink, or an anti-kink profile. We determine the position of the throat, and show the embedding diagram of the wormhole. As a physical application, we apply the Gauss-Bonnet theorem to compute the deflection angle of a light-ray that passes close to the wormhole.
In this paper we consider Abelian vector plus scalar holographic gravity models for 2+1 dimensional condensed matter transport, and the effect of S-duality on them. We find the transport coefficients from the electric and heat currents via usual membrane paradigm-type calculations, and the effect of S-duality on them. We study the same system also by using the entropy function formalism in the extremal case, and the formalism of holographic Stokes equations, in the case of one-dimensional lattices. We study a few generalizations that appear when considering a supergravity-inspired model, and apply the entropy function method for them. *
In the context of applications of the AdS/CFT correspondence to condensed
matter physics, we compute conductivities for field theory duals of dyonic
planar black holes in 3+1-dimensional Einstein-Maxwell-dilaton theories at zero
temperature. We combine the near-horizon data obtained via Sen's entropy
function formalism with known expressions for conductivities. In this way we
express the conductivities in terms of the extremal black hole charges. We
apply our approach to three different examples for dilaton theories for which
the background geometry is not known explicitly. For a constant scalar
potential, the thermoelectric conductivity explicitly scales as
$\alpha_{xy}\sim N^{3/2}$, as expected. For the same model, our approach yields
a finite result for the heat conductivity $\kappa/T \propto N^{3/2}$ even for
$T \rightarrow 0$.Comment: 29 page
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