Abstract: We study n–point correlation functions for chiral primary operators in three dimensional supersymmetric Chern–Simons matter theories. Our analysis is car- ried on in N = 2 superspace and covers N = 2, 3 supersymmetric CFT’s, the N = 6 ABJM and the N = 8 BLG models. In the limit where the positions of adjacent opera- tors become light–like, we find that the one–loop n–point correlator divided by its tree level expression coincides with a light–like n–polygon Wilson loop. Remarkably, the result can be simply expressed as a linear combination of five dimensional two–mass easy boxes. We manage to evaluate the integrals analytically and find a vanishing result, in agreement with previous findings for Wilson loops
Bianchi, M., Leoni, M., Mauri, A., Penati, S., Ratti, C., Santambrogio, A. (2011). From Correlators to Wilson Loops in Chern-Simons Matter Theories. JOURNAL OF HIGH ENERGY PHYSICS, 2011(6), 118 [10.1007/JHEP06(2011)118].
From Correlators to Wilson Loops in Chern-Simons Matter Theories
MAURI, ANDREA;PENATI, SILVIA;
2011
Abstract
Abstract: We study n–point correlation functions for chiral primary operators in three dimensional supersymmetric Chern–Simons matter theories. Our analysis is car- ried on in N = 2 superspace and covers N = 2, 3 supersymmetric CFT’s, the N = 6 ABJM and the N = 8 BLG models. In the limit where the positions of adjacent opera- tors become light–like, we find that the one–loop n–point correlator divided by its tree level expression coincides with a light–like n–polygon Wilson loop. Remarkably, the result can be simply expressed as a linear combination of five dimensional two–mass easy boxes. We manage to evaluate the integrals analytically and find a vanishing result, in agreement with previous findings for Wilson loops
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