2003/03/21 by Tanmay Vachaspati
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Context (archaeology) #Cosmology and Gravitation Theories #Domain (mathematical analysis) #Domain wall (magnetism) #Geology #Geometry #Homogeneous space #Magnetic field #Mathematical analysis #Mathematical physics #Mathematics #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Scalar (mathematics) #Scalar field #Symmetry (geometry) #Theoretical physics #hep-th
paper · pdf · doi:10.1103/physrevd.67.125002
published as Phys.Rev. D67 (2003) 125002 · 5 pages. Added references
arxiv created 2003/03/21 · openalex publication_date 2003/06/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The comparison of symmetries in the interior and the exterior of a domain wall is relevant when discussing the correspondence between domain walls and branes, and also when studying the interaction of walls and magnetic monopoles. I discuss the symmetries in the context of an SU(N)\ifmmode×\else\texttimes\fiZ2 model (for odd N) with a single adjoint scalar field. Situations in which the wall interior has less symmetry than the vacuum are easy to construct while the reverse situation requires significant engineering of the scalar potential.