Integrable Open Spin Chain in Super Yang-Mills and the Plane-wave/SYM duality

Bin Chen; Xiao-Jun Wang; Yong-Shi Wu

doi:10.1088/1126-6708/2004/02/029

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arXiv · hep-th/0401016

Integrable Open Spin Chain in Super Yang-Mills and the Plane-wave/SYM duality

Bin Chen·Xiao-Jun Wang·Yong-Shi Wu

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Abstract

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.

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Bin Chen, Xiao-Jun Wang, Yong-Shi Wu. 2004-01-31. Integrable Open Spin Chain in Super Yang-Mills and the Plane-wave/SYM duality. https://doi.org/10.1088/1126-6708%2F2004%2F02%2F029

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