Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-01-05
JHEP 0402 (2004) 029
Physics
High Energy Physics
High Energy Physics - Theory
18 pages, one eps figure, v3: typos corrected, clarifying footnotes added, treatment of complex roots revised
Scientific paper
10.1088/1126-6708/2004/02/029
We investigate the integrable structures in an N=2 superconfomal Sp(N) Yang-Mills theory with matter, which is dual to an open+closed string system. We restrict ourselves to the BMN operators that correspond to free string states. In the closed string sector, an integrable structure is inherited from its parent theory, N=4 SYM. For the open string sector, the planar one-loop mixing matrix for gauge invariant holomorphic operators is identified with the Hamiltonian of an integrable SU(3) open spin chain. Using the K-matrix formalism we identify the integrable open-chain boundary conditions that correspond to string boundary conditions. The solutions to the algebraic Bethe ansatz equations (ABAE) with a few impurities are shown to recover the anomalous dimensions that exactly match the spectrum of free open string in the plane-wave background. We also discuss the properties of the solutions of ABAE beyond the BMN regime.
Chen Bin
Wang Xiao-Jun
Wu Yong-Shi
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