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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)
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)
We define a semi-Hopf algebra which is more general than a Hopf algebra. Then we construct the supersymmetry algebra via the adjoint action on this semi-Hopf algebra. As a result we have a supersymmetry theory with quantum gauge group, i.e., quantised enveloping algebra of a simple Lie algebra. For the example, we construct the Lagrangian N =1 and N =2(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)
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)