arXiv:1410.2311v3 [hep-th] 9 Jun 2015 Holographical Description of BPS Wilson Loops in Flavored ABJM Theory Bin Chen1,2,3∗ , Jun-Bao Wu4†and Meng-Qi Zhu5‡ 1Department of Physics, and State Key Laboratory of Nuclear Physics and Technology, Peking University, No. 5 Yiheyuan Rd, Beijing 100871, P. R. China 2Collaborative Innovation Center of Quantum Matter, 5 Yiheyuan Rd, Beijing 100871, P. R. China 3Center for High Energy Physics, Peking University, 5 Yiheyuan Rd, Beijing 100871, P. R. China 4Institute of High Energy Physics, and Theoretical Physics Center for Science Facilities, Chinese Academy of Sciences, 19B Yuquan Road, Beijing 100049, P. R. China 5SISSA, Via Bonomea 265, I 34136, Trieste, Italy Abstract As holographic description of BPS Wilson loops inN= 3 flavored ABJM theory withNf=k= 1, BPS M2-branes inAdS4×N(1,1) are studied in details.Two 1/3-BPS membrane configurations are found. One of them is dual to the 1/3-BPS Wilson loop of Gaiotto-Yin type. The regulated membrane action captures precisely the leading exponential behavior of the vacuum expectation values of 1/3-BPS Wilson loops in the strong coupling limit, which was computed before using supersymmetric localization technique. Moreover, there is no BPS membrane with more supersymmetries in the background, under quite natural assumption on the membrane worldvolume. This suggests that there is no Wilson loop preserving more than 1/3 supersymmetries in such flavored ABJM theory. ∗bchen01@pku.edu.cn †wujb@ihep.ac.cn ‡mzhu@sissa.it 1
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