Light-like polygonal Wilson loops in 3d Chern-Simons and ABJM theory
Apr, 2010
37 pages
Published in:
- JHEP 08 (2010) 032,
- JHEP 11 (2011) 053 (erratum)
e-Print:
- 1004.0226 [hep-th]
Report number:
- HU-EP-10-14
View in:
Citations per year
Abstract: (arXiv)
We study light-like polygonal Wilson loops in three-dimensional Chern-Simons and ABJM theory to two-loop order. For both theories we demonstrate that the one-loop contribution to these correlators cancels. For pure Chern-Simons, we find that specific UV divergences arise from diagrams involving two cusps, implying the loss of finiteness and topological invariance at two-loop order. Studying those UV divergences we derive anomalous conformal Ward identities for n-cusped Wilson loops which restrict the finite part of the latter to conformally invariant functions. We also compute the four-cusp Wilson loop in ABJM theory to two-loop order and find that the result is remarkably similar to that of the corresponding Wilson loop in N=4 SYM. Finally, we speculate about the existence of a Wilson loop/scattering amplitude relation in ABJM theory.Note:
- 37 pages, many figures; v2: references added, minor changes; v3: references added, sign error fixed and note added
- AdS-CFT Correspondence
- Chern-Simons Theories
- Conformal and W Symmetry
- invariance: topological
- dimension: 3
- ABJM model
- Wilson loop
- correlation function
- Chern-Simons term
- Ward identity
References(51)
Figures(27)