2004/10/31 by Yoshiaki Susaki, Yastoshi Takayama, Kentaroh Yoshida · 30 citations
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Hamiltonian (control theory) #Integrable system #Mathematical physics #Mathematics #Operator (biology) #Particle physics theoretical and experimental studies #Physics #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scalar (mathematics) #Semiclassical physics #String (physics) #String field theory #String theory #hep-th
paper · pdf · doi:10.1103/physrevd.71.126006
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 71(12), 126006 (American Physical Society) · 22 pages, 1 figure, LaTeX, minor corrections and references added. v3) some new results added. shortened and accepted version in PRD
arxiv created 2005/06/18 · openalex publication_date 2005/06/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider defect composite operators in a defect superconformal field theory obtained by inserting an AdS4\ifmmode×\else\texttimes\fiS2-brane in the AdS5\ifmmode×\else\texttimes\fiS5 background. The one-loop dilatation operator for the scalar sector is represented by an integrable open spin chain. We give a description to construct coherent states for the open spin chain. Then, by evaluating the expectation value of the Hamiltonian with the coherent states in a long operator limit, a Landau-Lifshitz type of sigma model action is obtained. This action is also derived from the string action and hence we find a complete agreement in both super Yang-Mills and string sides. We see that an SO(3)H pulsating string solution is included in the action and its energy completely agrees with the result calculated in a different method. In addition, we argue that our procedure would be applicable to other AdS-brane cases.