Scattering in ABJ theories

被引:34
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
Supersymmetric gauge theory; AdS-CFT Correspondence; Chern-Simons Theories; HEXAGON WILSON LOOP; YANG-MILLS; AMPLITUDES;
D O I
10.1007/JHEP12(2011)073
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
We study the correspondence between scattering amplitudes and Wilson loops in three-dimensional Chern-Simons matter theories. In particular, using N = 2 superspace formalism, we compute at one loop the whole spectrum of four-point superamplitudes for generic N >= 2 supersymmetric theories and find a vanishing result for N = 6 ABJ(M) and N = 8 BLG models. This restricts the possible range of theories for which Wilson loops/scattering amplitudes duality might work. At two loops, we present the computation of the four-point ABJ scattering amplitude for external chiral superfields. Extending the known result for the ABJM Wilson loop to the ABJ case we find perfect agreement. We also discuss the dual conformal invariance of our results and the relationship between the Feynman diagram computation and unitarity methods. While for the ABJM theory dual conformally invariant integrals exactly reproduce the amplitude, for the ABJ case this happens only up to a residual constant depending on the parity-violating parameter. Finally we propose a BDS-like exponentiation for the amplitude based on an analogy with the four dimensional N = 4 SYM case, and discuss its strong coupling dual counterpart.
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页数:44
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