On generalized geometric domain-wall models

We study domain walls that are topological solitons in one dimension. We present an existence theory for the solutions of the basic governing equations of some extended geometrically constrained domain-wall models. When the cross-section and potential density are both even, we establish the existence of an odd domain-wall solution realizing the phase-transition process between two adjacent domain phases. When the cross-section satisfies a certain integrability condition, we prove that a domain-wall solution always exists that links two arbitrarily designated domain phases.

DOMAIN WALLS IN AdS-EINSTEIN-SCALAR GRAVITY

In this paper, we show that the supergravity theory which is dual to ABJM field theory can be consistently reduced to scalar-coupled AdS-Einstein gravity and then consider the reflection symmetric domain wall and its small fluctuation. It is also shown that this domain wall solution is none other than dimensional reduction of M2-brane configuration.

AN E6 INVARIANT ACTION LEADING TO AN SU(5) GRAND UNIFICATION ON A DOMAIN WALL

The paper presents a summary of some recent work on a SU(5) grand unification scheme for effective 3 + 1 dimensional fields dynamically localized on a domain-wall brane. This is achieved through the confluence of the clash-of-symmetries mechanism for symmetry breaking through domain-wall formation and the Dvali-Shifman gauge boson localization idea. It is shown that it requires an E6 invariant action, yielding a domain-wall solution that has E6 broken to differently embedded SO(10) ⊗ U(1) subgroups in the two bulk regions on the opposites of the wall.

DOMAIN WALL SOLUTION OF THE SKYRME MODEL

A class of domain-wall-like solutions of the Skyrme model is obtained analytically. They are described by the tangent hyperbolic function, which is a special limit of the Weierstrass ℘ function. The behavior of one of the two terms in the static energy density is like that of a domain wall. The other term in the static energy density does not vanish but becomes constant at the points far apart from the wall.