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, theâ€¦ (More)

In this paper we address several aspects of flat Bogomolnyi-PrasadSommerfeld (BPS) domain walls together with their Lorentz invariant vacua of 4d N = 1 supergravity coupled to a chiral multiplet. Theâ€¦ (More)

By linearizing the inhomogeneous Burgers equation through the HopfCole transformation, we formulate the solution of the initial value problem of the corresponding linear heat type equation using theâ€¦ (More)

We investigate extended Wilson loop operators, in particular tetrahedron operator in (2 + 1)-dimensional Chern-Simons-Witten theory. This operator emerges naturally from the contribution terms inâ€¦ (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 beâ€¦ (More)

The impact of Lorentz violation on the dynamics of a scalar field is investigated. In particular, we study the dynamics of a scalar field in the scalar-vector-tensor theory where the vector field isâ€¦ (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 inâ€¦ (More)

We show that the auto-BÃ¤cklund transformations of the sine-Gordon, Korteweg-deVries, nonlinear SchrÃ¶dinger, and Ernst equations are related to their respective CPT symmetries. This is shown byâ€¦ (More)

The soliton solution of the integrable coupled nonlinear SchrÃ¶dinger equation (NLS) of Manakov type is investigated by using Zakharov-Shabat (ZS) scheme. We get the bright N-solitons solution byâ€¦ (More)

We address some aspects of four-dimensional chiral N = 1 supersymmetric theories on which the scalar manifold is described by KÃ¤hler geometry and can further be viewed as KÃ¤hlerâ€“Ricci solitonâ€¦ (More)