## Abstract

The evaluation of BPS (Bogomol'nyi-Prasad-Sommerfeld) Wilson loops in N = 6, D = 3 Chern-Simons matter theory is reduced to ordinary matrix integrals via a localization technique. That the vacuum expectation value of 1/2 BPS Wilson loops at leading order in the planar limit agrees with the regularized classical string action is easy to check via AdS/CFT. Then, the subleading terms, in principle, can be calculated by treating the string theory semiclassically. In this article, we calculate the one-loop determinant for the fluctuation modes of a holographic Wilson loop as a IIA string in the dual geometry AdS _{4} × ℂℙ ^{3}. The fermionic normal mode frequencies are expressed in terms of the hypergeometric function, and the one-loop effective action is computed numerically. The discrepancy compared to the localization formula is due to the zero mode normalization constant, which has yet to be determined.

Original language | English |
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Pages (from-to) | 713-719 |

Number of pages | 7 |

Journal | Journal of the Korean Physical Society |

Volume | 61 |

Issue number | 5 |

DOIs | |

Publication status | Published - 2012 |

### Bibliographical note

Funding Information:The research of NK and JHL is supported by the National Research Foundation of Korea (NRF) funded by the Korean government (MEST) with grant Nos. 2009-0085995, 2010-0023121 and also through the Center for Quantum Spacetime (CQUeST) of Sogang University with grant No. 2005-0049409.

## Keywords

- M(atrix) theories
- M-theory

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