نتایج جستجو برای: dual solutions
تعداد نتایج: 490178 فیلتر نتایج به سال:
Starting from the Maldacena-Nunez supergravity dual of N = 1 super Yang-Mills theory we study the inclusion of a supersymmetry breaking gaugino mass term. We consider a class of non supersymmetric deformations of the MN solutions which have been recently proposed in the literature. We show that they can be interpreted as corresponding to the inclusion of both a mass and a condensate. We calcula...
We investigate solutions of type II supergravity which have the product R × M6 structure with non-compact M6 factor and which preserve at least four supersymmetries. In particular, we consider various conifolds and the N = 1 supersymmetric “NS5-brane wrapped on 2-sphere” solution recently discussed in hepth/0008001. In all of these cases, we explicitly construct the complex structures, and the ...
We consider 2 + 1 dimensional gravity with a cosmological constant, and explore a duality that exists between space-times that have the De Sitter group SO(3, 1) as its local isometry group. In particular, the Lorentzian theory with a positive cosmological constant is dual to the Euclidean theory with a negative cosmological constant. We use this duality to construct a mapping between apparently...
We present two classes of regular supergravity backgrounds dual to supersymmetric and non-supersymmetric gauge theories living on the world-volume of wrapped branes. In particular we consider the Maldacena Nuñez and the Klebanov Strassler models, describing N=1 and N=2 theories, and find their non supersymmetric generalization by explicitly solving the second order equation of motion. We also s...
In this paper we study generic M(atrix) theory compactifications that are specified by a set of quotient conditions. A procedure is proposed, which both associates an algebra to each compactification and leads deductively to general solutions for the matrix variables. The notion of noncommutative geometry on the dual space is central to this construction. As examples we apply this procedure to ...
In this paper, we study the existence of solutions for quasilinear degenerate elliptic equations of the form A(u) + g(x, u,∇u) = h, where A is a Leray-Lions operator from W 1,p 0 (Ω, w) to its dual. On the nonlinear term g(x, s, ξ), we assume growth conditions on ξ, not on s, and a sign condition on s.
The nonextreme Dp-brane solutions in type II supergravity (in the near-horizon limit) are expected to be dual to (p+ 1)-dimensional noncompact supersymmetric Yang-Mills theories at finite temperature. We study the translationally invariant perturbations along the branes in those backgrounds and calculate quasinormal frequencies numerically. These frequencies should determine the thermalization ...
In the context of D-dimensional Euclidean gravity, we define the natural generalisation to D-dimensions of the self-dual Yang-Mills equations, as duality conditions on the curvature 2-form of a Rie-mannian manifold. Solutions to these self-duality equations are provided by manifolds of SU (2), SU (3), G 2 and Spin(7) holonomy. The equations in eight dimensions are a master set for those in lowe...
Duality statements are presented for multifacility location problems as suggested by Drezner (1991), where for each given point the sum of weighted distances to all facilities plus set-up costs is determined and the maximal value of these sums is to be minimized. We develop corresponding dual problems for the cases with and without set-up costs and present associated optimality conditions. In t...
We simplify the Hitchin's description of SU (2)-invariant self-dual Einstein metrics, making use of the tau-function of related four-pole Schlesinger system. The SU (2) invariant self-dual Einstein metrics were studied in a number of papers [1, 2, 3]. The local classification of the metrics of this type was given in extensive paper by Hitchin [3]. However, the final form of the metric coefficie...
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