# Integrable spin chain of superconformal U(M) × $\overline{\mathop{\rm U}(N)}$ Chern-Simons theory

@article{Bak2008IntegrableSC, title={Integrable spin chain of superconformal U(M) × \$\overline\{\mathop\{\rm U\}(N)\}\$ Chern-Simons theory}, author={Dongsu Bak and Dongmin Gang and S. J. Rey}, journal={Journal of High Energy Physics}, year={2008}, volume={2008}, pages={038-038} }

= 6 superconformal Chern-Simons theory with gauge group U(M) × is dual to N M2-branes and (M−N) fractional M2-branes, equivalently, discrete 3-form holonomy at 4/k orbifold singularity. We show that, much like its regular counterpart of M = N, the theory at planar limit have integrability structure in the conformal dimension spectrum of single trace operators. We first revisit the Yang-Baxter equation for a spin chain system associated with the single trace operators. We show that the…

## 54 Citations

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