2014/05/31 by John H. Schwarz · 17 citations
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Boundary (topology) #Brane #Coulomb #Effective action #Electron #Field (mathematics) #Field theory (psychology) #Magnetic monopole #Mathematical analysis #Mathematical physics #Mathematics #Multiplet #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Soliton #String (physics) #String theory #hep-th
paper · pdf · doi:10.1007/jhep07(2014)136
published in Journal of High Energy Physics 2014(7) (Springer Nature) · 18 pages; v2: Additional references and discussion; v3: One more reference and minor improvements
openalex publication_date 2014/07/01 · arxiv created 2014/07/07 · arxiv updated 2015/06/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The world-volume action of a probe D3-brane in AdS 5 × S 5 with N units of flux has the field content, symmetries, and dualities of the U(1) factor of N = 4 U(N + 1) super Yang-Mills theory, spontaneously broken to U(N) × U(1) by being on the Coulomb branch, with the massive fields integrated out. Thus, it might be the exact effective action (a highly effective action), or else a useful approximation to it. We construct an SL(2, ℤ) multiplet of BPS soliton solutions of the D3-brane action and show that in the N = 1 case they correspond to the electrically charged states that have been integrated out as well as magnetic monopoles and dyons. Their charges are uniformly spread on a spherical surface, a soliton bubble, which can be interpreted as a phase boundary. This picture is consistent with previous results in the string theory and field theory literature.