Light-like polygonal Wilson loops in 3d Chern-Simons and ABJM theory
| Autor: | Henn, Johannes M., Plefka, Jan, Wiegandt, Konstantin |
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| Rok vydání: | 2010 |
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| Zdroj: | JHEP 1008:032,2010 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP08(2010)032 |
| Popis: | 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. Comment: 37 pages, many figures; v2: references added, minor changes; v3: references added, sign error fixed and note added |
| Databáze: | arXiv |
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