scholarly journals Some properties of domain wall solution in the Randall–Sundrum model

2001 ◽  
Vol 18 (23) ◽  
pp. 5239-5248 ◽  
Author(s):  
Shoichi Ichinose
Keyword(s):  
Domain Wall ◽  
Domain Wall Solution

scholarly journals Domain Walls from M-Branes

1997 ◽  
Vol 12 (15) ◽  
pp. 1087-1094 ◽  
Author(s):  
H. Lü ◽  
C. N. Pope
Keyword(s):  
Domain Wall ◽  
Dimensional Reduction ◽  
Domain Walls ◽  
Additional Term ◽  
Cosmological Term ◽  
Domain Wall Solution ◽  
Toroidal Compactifications ◽  
Four Manifolds ◽  
M Theory ◽  
Kaluza Klein

We discuss the vertical dimensional reduction of M-sbranes to domain walls in D=7 and D=4, by dimensional reduction on Ricci-flat four-manifolds and seven-manifolds. In order to interpret the vertically-reduced five-brane as a domain wall solution of a dimensionally-reduced theory in D=7, it is necessary to generalize the usual Kaluza–Klein ansatz, so that the three-form potential in D=11 has an additional term that can generate the necessary cosmological term in D=7. We show how this can be done for general four-manifolds, extending previous results for toroidal compactifications. By contrast, no generalization of the Kaluza–Klein ansatz is necessary for the compactification of M-theory to a D=4 theory that admits the domain-wall solution coming from the membrane in D=11.

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

2009 ◽  
Vol 24 (18n19) ◽  
pp. 3316-3326
Author(s):  
KAMESHWAR C. WALI
Keyword(s):  
Domain Wall ◽  
Symmetry Breaking ◽  
Recent Work ◽  
Gauge Boson ◽  
Grand Unification ◽  
Invariant Action ◽  
Wall Formation ◽  
Domain Wall Solution

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.

scholarly journals Domain wall solution for vectorlike model

1998 ◽  
Vol 423 (1-2) ◽  
pp. 40-44 ◽  
Author(s):  
Tomohiro Matsuda
Keyword(s):  
Domain Wall ◽  
Domain Wall Solution

scholarly journals DOMAIN WALL SOLUTION OF THE SKYRME MODEL

2006 ◽  
Vol 21 (28n29) ◽  
pp. 5845-5859
Author(s):  
CHANG-GUANG SHI ◽  
MINORU HIRAYAMA
Keyword(s):  
Energy Density ◽  
Domain Wall ◽  
Skyrme Model ◽  
The Other ◽  
Hyperbolic Function ◽  
Weierstrass Function ◽  
Domain Wall Solution ◽  
Special Limit ◽  
Static Energy

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.

On generalized geometric domain-wall models

2011 ◽  
Vol 141 (4) ◽  
pp. 881-895 ◽  
Author(s):  
Ruifeng Zhang ◽  
Xiaojing Wang
Keyword(s):  
Domain Wall ◽  
Cross Section ◽  
Domain Walls ◽  
Integrability Condition ◽  
Transition Process ◽  
Existence Theory ◽  
Domain Wall Solution ◽  
Wall Models ◽  
The Cross ◽  
Geometrically Constrained

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.

scholarly journals DOMAIN WALLS IN AdS-EINSTEIN-SCALAR GRAVITY

2011 ◽  
Vol 26 (12) ◽  
pp. 2075-2085
Author(s):  
SANGHEON YUN
Keyword(s):  
Field Theory ◽  
Domain Wall ◽  
Dimensional Reduction ◽  
Domain Walls ◽  
Symmetric Domain ◽  
Einstein Gravity ◽  
Supergravity Theory ◽  
Small Fluctuation ◽  
Domain Wall Solution ◽  
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.

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