Abstract
We construct an open string theory whose single-trace part of the tree-level S-matrix reproduces the S-matrix of the ABJ(M) theory with a unitary gauge group. We also demonstrate that the multi-trace part of the string theory tree-level S-matrix — which has no counterpart in the pure \( \mathcal{N} \) = 6 super-Chern-Simons theory — is due to conformal supergravity interactions and identify certain Lagrangian interaction terms. Our construction suggests that there exists a higher dimensional theory which can be dimensionally-reduced, in a certain sense, to the ABJ(M) theory. It also suggests a generalization of this theory to product gauge groups with more than two factors.
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Engelund, O.T., Roiban, R. A twistor string for the ABJ(M) theory. J. High Energ. Phys. 2014, 88 (2014). https://doi.org/10.1007/JHEP06(2014)088
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DOI: https://doi.org/10.1007/JHEP06(2014)088