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We study BPS domain walls of N = 1 supergravity coupled to a chiral multiplet and their Lorentz invariant vacua which can be viewed as critical points of BPS equations and the scalar potential. Supersymmetry further implies that gradient flows of BPS equations controlled by a holomorphic superpotential and the Kähler geometry are unstable near local maximum… (More)

Some aspects of curved BPS domain walls and their supersymmetric Lorentz invariant vacuums of four dimensional N = 1 supergravity coupled to a chiral multiplet are considered. In particular, the scalar manifold can be viewed as two dimensional Kähler-Ricci soliton which further implies that all quantities describing the walls and their vacuums have… (More)

We study compactification of five dimensional ungauged N = 2 super-gravity coupled to vector-and hypermultiplets on orbifold S 1 /Z 2. In the model, the vector multiplets scalar manifold is arbitrary while the hypermultiplet scalars span a generalized self dual Einstein manifold constructed by Calderbank and Pedersen. The bosonic and the fermionic sectors… (More)

This paper provides a study of some aspects of flat and curved BPS domain walls together with their Lorentz invariant vacua of four dimensional chiral N = 1 supergravity. The scalar manifold can be viewed as a one-parameter family of Kähler manifolds generated by a Kähler-Ricci flow equation. Consequently, a vacuum manifold characterized by (m, λ) where m… (More)

We study some aspects of dyonic non-supersymmetric black holes of four dimensional N = 1 supergravity coupled to chiral and vector multiplets. The scalar manifold can be considered as a one-parameter family of Kähler manifolds generated by a Kähler-Ricci flow equation. This setup implies that we have a family of dyonic non-supersymmetric black holes… (More)

We study four dimensional chiral N = 1 supersymmetric theories on which the scalar manifold is described by Kähler geometry and further, it can be viewed as Kähler-Ricci soliton. All couplings and solutions, namely BPS domain walls and their supersymmetric Lorentz invariant vacuums turn out to be evolved with respect to the soliton. Two models are… (More)

The three 3-brane system with both positive or negative tension is studied in a low energy regime by using gradient expansion method. The effective equations of motion on the brane is derived and in particular we examine, in the first order, the radion effective lagrangian for this system. In this case, we show the solution of the modified Friedmann… (More)

Artificial Neural Network (ANN) is used as numerical methode in solving modified Nonlinear Schrödinger (NLS) equation with Dispersion Managed System (DMS) for jitter analysis. We take the optical axis z and the time t as input, and then some relevant values such as the change of position and the center frequency of the pulse, and further the mean square… (More)

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