Equivalence of Wilson Loops in ABJM and N = 4 SYM Theory
| Autor: | Wiegandt, Konstantin |
|---|---|
| Rok vydání: | 2011 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.84.126015 |
| Popis: | 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. Comment: 7 pages, 4 figures, minor changes, version to be published, report number added |
| Databáze: | arXiv |
| Externí odkaz: |
|