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We investigate the spacetime of a thick gravitating domain wall for a general potential $V(\Phi)$. Using general analytical arguments we show that all nontrivial solutions fall into two categories: those interpretable as an isolated domain…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Filipe Bonjour , Christos Charmousis , Ruth Gregory

We perform the dimensional reduction of the nonrelativistic CP(1) model coupled to an Abelian Chern-Simons gauge field in the self-dual limit, and investigate the soliton and domain wall solutions of the emerging 1+1 dimensional self-dual…

High Energy Physics - Theory · Physics 2008-11-26 Sung-Soo Kim , Phillial Oh , Chaiho Rim

Supersymmetric domain-wall spacetimes that lift to Ricci-flat solutions of M-theory admit generalized Heisenberg (2-step nilpotent) isometry groups. These metrics may be obtained from known cohomogeneity one metrics of special holonomy by…

High Energy Physics - Theory · Physics 2009-10-07 G. W. Gibbons , H. Lu , C. N. Pope , K. S. Stelle

Plane symmetric perturbations are applied to an axially symmetric Kasner spacetime which leads to no momentum flow orthogonal to the planes of symmetry. This flow appears laminar and the structure can be interpreted as a domain wall. We…

General Relativity and Quantum Cosmology · Physics 2012-01-26 George Kotsopoulos , Charles C. Dyer

We consider the Grand Unified SU(5) model with a small or vanishing cubic term in the adjoint scalar field in the potential. This gives the model an approximate or exact Z$_2$ symmetry whose breaking leads to domain walls. The simplest…

High Energy Physics - Phenomenology · Physics 2009-10-31 Levon Pogosian , Tanmay Vachaspati

Domain wall - type solution with oscillating thickness in a real, scalar field model is investigated with the help of a polynomial approximation. We propose a simple extension of the polynomial approximation method. In this approach we…

High Energy Physics - Theory · Physics 2007-05-23 Maciej Slusarczyk

We use Hamiltonian methods to study curved domain walls and cosmologies. This leads naturally to first order equations for all domain walls and cosmologies foliated by slices of maximal symmetry. For Minkowski and AdS-sliced domain walls…

High Energy Physics - Theory · Physics 2008-11-26 Kostas Skenderis , Paul K. Townsend

Coupled triple well (phi6) one-dimensional potentials occur in both condensed matter physics and field theory. Here we provide a set of exact periodic solutions in terms of elliptic functions (domain wall arrays) and obtain single domain…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 Avinash Khare , Avadh Saxena

We solve vacuum Einstein's field equations with the cosmological constant in space-times admitting 3-parameter group of isometries with 2-dimensional space-like orbits. The general exact solutions, which are represented in the advanced and…

General Relativity and Quantum Cosmology · Physics 2011-04-22 Chih-Hung Wang , Hing-Tong Cho , Yu-Huei Wu

We present a general proof on the equivalence of the comoving-coordinate approach, where the wall is fixed at a constant coordinate variable, and moving-wall approach, where the wall is moving in a background static space-time, in the…

General Relativity and Quantum Cosmology · Physics 2012-04-09 Yu-Huei Wu , Chih-Hung Wang

We study domain wall solutions of a real spinor field coupling with gravitation in five dimensions. We find that the nonlinear spinor field supports a class of soliton configurations which could be viewed as a wall embedded in five…

High Energy Physics - Theory · Physics 2023-04-18 Zheng-Quan Cui , Yu-Xiao Liu

I describe domain walls and domain wall lattices in non-Abelian models.

High Energy Physics - Theory · Physics 2007-05-23 Tanmay Vachaspati

We analyse the distributional thin wall limit of self gravitating scalar field configurations representing thick domain wall geometries. We show that thick wall solutions can be generated by appropiate scaling of the thin wall ones, and…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Rommel Guerrero , Alejandra Melfo , Nelson Pantoja

The Two Higgs Doublet Model predicts the emergence of 3 distinct domain wall solutions arising from the breaking of 3 accidental global symmetries, $Z_2$, CP1 and CP2, at the electroweak scale for specific choices of the model parameters.…

High Energy Physics - Phenomenology · Physics 2021-01-22 Richard A. Battye , Apostolos Pilaftsis , Dominic G. Viatic

We consider BPS domain walls in the four dimensional N=1 supersymmetric models with continuous global symmetry. Since the BPS equation is covariant under the global transformation, the solutions of the BPS walls also have the global…

High Energy Physics - Theory · Physics 2009-10-31 Masashi Naganuma , Muneto Nitta

We address a simple model allowing the existence of domain walls with orientational moduli localized on them. Within this model, we discuss an analytic solution and explore it in the context of previously known results. We discuss the…

High Energy Physics - Theory · Physics 2018-07-13 Vladimir Bychkov , Michael Kreshchuk , Evgeniy Kurianovych

The Geometry of planar domain walls is studied. It is argued that the planar walls indeed have plane symmetry. In the Minkowski coordinates the walls are mapped into revolution paraboloids.

General Relativity and Quantum Cosmology · Physics 2009-07-07 F. M. Paiva , Anzhong Wang

In supersymmetric Yang-Mills theories (SYM) tension-degenerate domain walls are typical. Adding matter fields in fundamental representation we arrive at supersymmetric QCD (SQCD) supporting similar walls. We demonstrate that the degenerate…

High Energy Physics - Theory · Physics 2025-04-22 Shi Chen , Evgenii Ievlev , Mikhail Shifman

We demonstrate the possibility of creating domain walls described by a single component Gross-Pitaevskii equation with attractive interaction, in the presence of an optical-lattice potential. While it is found that the extended domain wall…

We propose a framework to construct "Domain-Wall Standard Model" in a non compact 5-dimensional space-time, where all the Standard Model (SM) fields are localized in certain domains of the 5th dimension and the SM is realized as a…

High Energy Physics - Phenomenology · Physics 2019-04-02 Nobuchika Okada , Digesh Raut , Desmond Villalba