Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-10-12
Phys.Rev. D71 (2005) 126006
Physics
High Energy Physics
High Energy Physics - Theory
22 pages, 1 figure, LaTeX, minor corrections and references added. v3) some new results added. shortened and accepted version
Scientific paper
10.1103/PhysRevD.71.126006
We consider defect composite operators in a defect superconformal field theory obtained by inserting an AdS_4 x S^2-brane in the AdS_5 x S^5 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 SYM 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.
Susaki Yoshiaki
Takayama Yastoshi
Yoshida Kentaroh
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