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Equivalence of Wilson Loops in N=6{\cal N} = 6 super Chern-Simons matter theory and N=4{\cal N} = 4 SYM Theory

Oct, 2011
7 pages
Published in:
  • Phys.Rev.D 84 (2011) 126015
e-Print:
DOI:
Report number:
  • HU-EP-11-48
View in:
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Abstract: (arXiv)
In previous investigations, it was found that four-sided polygonal light-like Wilson loops in ABJM theory calculated to two-loop order have the same form as the corresponding Wilson loop in N = 4 SYM at one-loop order. Here we study light-like polygonal Wilson loops with n cusps in planar three-dimensional Chern-Simons and ABJM theory to two loops. Remarkably, the result in ABJM theory precisely agrees with the corresponding Wilson loop in N = 4 SYM at one-loop order for arbitrary n. In particular, anomalous conformal Ward identites allow for a so-called remainder function of conformal cross ratios, which is found to be trivial at two loops in ABJM theory in the same way as it is trivial in N = 4 SYM at one-loop order. Furthermore, the result for arbitrary n obtained here, allows for a further investigation of a Wilson loop / amplitude duality in ABJM theory, for which non-trivial evidence was recently found by a calculation of four-point amplitudes that match the Wilson loop in ABJM theory.
Note:
  • 7 pages, 4 figures, minor changes, version to be published, report number added
  • 11.25.Tq
  • 11.15.Yc
  • 11.30.Pb
  • 11.15.Bt
  • supersymmetry: 4
  • Yang-Mills: supersymmetry
  • Wilson loop
  • ABJM model
  • conformal
  • Chern-Simons term
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