2005/04/27 by Roberto Auzzi, R. Auzzi, M. Shifman +2
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Domain (mathematical analysis) #Domain wall (magnetism) #Energy (signal processing) #Gauge (firearms) #Magnetic field #Materials science #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #String (physics) #String theory #hep-th
paper · pdf · doi:10.1103/physrevd.72.025002
published as Phys.Rev. D72 (2005) 025002 · 23 pages, 11 figures, v2 references added
arxiv created 2005/04/27 · openalex publication_date 2005/07/05 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study 1/2 Bogomol'nyi-Prasad-Sommerfield (BPS) domain walls, 1/2 BPS flux tubes (strings), and their 1/4 BPS junctions. We consider the simplest example of N=2 Abelian gauge theory with two charged matter hypermultiplets which contains all of the above-listed extended objects. In particular, we focus on string-wall junctions (boojums) and calculate their energy. It turns out to be logarithmically divergent in the infrared domain. We compute this energy first in the (2+1)-dimensional effective theory on the domain wall and then, as a check, obtain the same result from the point of view of (3+1)-dimensional bulk theory. Next, we study interactions of boojums considering all possible geometries of string-wall junctions and directions of the string magnetic fluxes.