Scattering amplitudes/Wilson loop duality in ABJM theory

被引:60
作者
Bianchi, Marco S. [1 ,2 ]
Leoni, Matias [1 ,2 ]
Mauri, Andrea [3 ,4 ]
Penati, Silvia [1 ,2 ]
Santambrogio, Alberto [4 ]
机构
[1] Univ Milano Bicocca, Dipartimento Fis, I-20126 Milan, Italy
[2] Ist Nazl Fis Nucl, Sez Milano Bicocca, I-20126 Milan, Italy
[3] Univ Milan, Dipartimento Fis, I-20133 Milan, Italy
[4] Ist Nazl Fis Nucl, Sez Milano, I-20133 Milan, Italy
关键词
Duality in Gauge Field Theories; AdS-CFT Correspondence; Chern-Simons Theories; HEXAGON WILSON LOOP; YANG-MILLS;
D O I
10.1007/JHEP01(2012)056
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
For N = 6 superconformal Chern-Simons-matter theories in three dimensions, by a direct superspace Feynman diagram approach, we compute the two-loop four-point scattering amplitude with external chiral matter fields. We find that the result is in perfect agreement with the two-loop result for a light-like four-polygon Wilson loop. This is the first non-trivial evidence that an amplitudes/Wilson loop duality might work in three dimensions. Moreover, both the IR divergent and the finite parts of our two-loop result agree with a BDS-like ansatz for all-loop amplitudes where the scaling function is given in terms of the N = 4 SYM one, according to the conjectured Be the equations for ABJM. Consequently, we are able to make a prediction for the four-loop correction to the amplitude. We also discuss the dual conformal invariance of the two-loop result.
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页数:16
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