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arXiv · 1211.4506

Worldsheet S-matrix of beta-deformed SYM

Changrim Ahn·Minkyoo Kim·Bum-Hoon Lee
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Abstract

We compute perturbative worldsheet S-matrix of beta-deformed AdS/CFT in the strong and weak `t Hooft coupling limit to compare with exact S-matrix. For the purpose we take near BMN limit of TsT-transformed AdS_5 x S^5 with the twisted boundary condition and compute the S-matrix on worldsheet using light-cone gauge fixed Lagrangian. For the weak coupling side, we compute the S-matrix in the SU(3) sector by applying coordinate Bethe ansatz method to the one-loop dilatation operator obtained from the deformed super Yang-Mills theory. These analysis support the conjectured exact S-matrix in the leading order for both sides of beta-deformed AdS/CFT along with appropriate twisted boundary conditions.

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Changrim Ahn, Minkyoo Kim, Bum-Hoon Lee. 2012-11-19. Worldsheet S-matrix of beta-deformed SYM. https://doi.org/10.1016/j.physletb.2013.01.047

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