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Integrable Spin Chain of Superconformal U(M)xU(N) Chern-Simons Theory · Around

2008

Integrable Spin Chain of Superconformal U(M)xU(N) Chern-Simons Theory

Bak, Dongsu, Gang, Dongmin, Rey, Soo-Jong

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N=6 superconformal Chern-Simons theory with gauge group U(M)xU(N)} is dual to N M2-branes and (M-N) fractional M2-branes, equivalently, discrete 3-form holonomy at C4/Zk 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 integrability by itself does not preclude parity symmetry breaking.

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O. Aharony, O. Bergman, D. L. Jafferis and J. Maldacena, “N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals,” arXiv:0806.1218 [hep-th]

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O. Aharony, O. Bergman and D. L. Jafferis, “Fractional M2-branes,” arXiv:0807.4924 [hep-th]

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K. Hosomichi, K. M. Lee, S. Lee, S. Lee and J. Park, “N=5,6 Superconformal Chern-Simons Theories and M2-branes on Orbifolds,” arXiv:0806.4977 [hep-th]

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J. A. Minahan and K. Zarembo, “The Bethe ansatz for superconformal Chern-Simons,” arXiv:0806.3951 [hep-th]

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T. Nishioka and T. Takayanagi, “On Type IIA Penrose Limit and N=6 Chern-Simons Theories,” arXiv:0806.3391 [hep-th]

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D. Gaiotto, S. Giombi and X. Yin, “Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory,” arXiv:0806.4589 [hep-th]

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