4.4 Article

1/2-BPS Wilson loops and vortices in ABJM model

期刊

JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 9, 页码 -

出版社

SPRINGER
DOI: 10.1007/JHEP09(2010)004

关键词

Supersymmetric gauge theory; AdS-CFT Correspondence; Chern-Simons Theories; M-Theory

资金

  1. Center for Quantum Spacetime of Sogang University [R11-2005-021]
  2. Korea National Research Foundation [2006-0093850, 2009-0084601]
  3. National Research Foundation of Korea [2009-0084601, 2005-0049645, 2006-0093850, PG006902] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)

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We explore the low-energy dynamics of 1/2-BPS heavy particles coupled to the ABJM model via the Higgsing of M2-branes, with focus on physical understanding of the recently discovered 1/2-BPS Wilson loop operators. The low-energy theory of 1/2-BPS heavy particles turns out to have the U(N vertical bar N) supergauge symmetry, which explains the novel structure of the 1/2-BPS Wilson loop operator as a holonomy of a U(N vertical bar N) superconnection. We show that the supersymmetric transformation of the Wilson loop operator can be identified as a fermionic supergauge transformation, which leads to their invariance under half of the supersymmetry. We also argue that 1/2-BPS Wilson loop operators appear as 1/2-BPS vortices with vorticity 1/k. Such a vortex can be naturally interpreted as a membrane wrapping the Z(k) cycle once, or type IIA fundamental string.

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