We study n-point correlation functions for chiral primary operators in three dimensional supersymmetric Chern-Simons matter theories. Our analysis is carried 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 operators 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.

In this paper we generalize the results of arXiv:0806.4758 to non-zero value J of angular momentum in S 5 . We compute the 1-loop correction to the energy of the folded spinning string in AdS 5 × S 5 in the particular limit of slow short string approximation. In this limit the string is moving in a near-flat central region of AdS 5 slowly rotating in both AdS 5 and S 5 . The one-loop correction should represent the first subleading correction to strong coupling expansion of the anomalous dimension of short gauge theory operators of the form Tr D S Φ J in the SL(2) sector.

We review the results of 0710.4292 [hep‐th] where we study the embedding of spacetime filling D7‐branes in β‐deformed backgrounds. This corresponds to flavoring β‐deformed 𝒩 = 4 super Yang–Mills. For the supersymmetric and the more general non‐supersymmetric three parameter deformations, we study quadratic fluctuations of a probe D7‐brane wrapped on a deformed three‐sphere, which correspond to mesonic configurations of the dual field theory. We manage to solve their equations exactly in the presence of a non‐trivial coupling between scalar and vector modes induced by the deformation. We find a mesonic mass spectrum which is discrete, with a mass gap and a Zeeman‐like splitting occurs.