2009/09/30 by Anton Kapustin, Brian Willett, Itamar Yaakov · 8 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Gauge (firearms) #Gauge group #Gauge theory #Matrix (chemical analysis) #Matrix model #Noncommutative and Quantum Gravity Theories #Quantum Chromodynamics and Particle Interactions #Supersymmetric gauge theory #Wilson loop #hep-th
paper · pdf · doi:10.1007/jhep03(2010)089
published as JHEP 1003:089,2010 · 32 pages
openalex publication_date 2010/03/01 · arxiv created 2010/12/17 · arxiv updated 2010/12/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We use localization techniques to compute the expectation values of supersymmetric Wilson loops in Chern-Simons theories with matter. We find the path-integral reduces to a non-Gaussian matrix model. The Wilson loops we consider preserve a single complex supersymmetry, and exist in any N=2 theory, though the localization requires superconformal symmetry. We present explicit results for the cases of pure Chern-Simons theory with gauge group U(N), showing agreement with the known results, and ABJM, showing agreement with perturbative calculations. Our method applies to other theories, such as Gaiotto-Witten theories, BLG, and their variants.