Exceptional non - renormalization properties and OPE analysis of chiral four - point functions in N = 4 SYM 4
نویسندگان
چکیده
We show that certain classes of apparently unprotected operators in N = 4 SYM 4 do not receive quantum corrections as a consequence of a partial non-renormalization theorem for the 4-point function of chiral primary operators. We develop techniques yielding the asymptotic expansion of the 4-point function of CPOs up to order O(λ 2) and we perform a detailed OPE analysis. Our results reveal the existence of new non-renormalized operators of approximate dimension 6.
منابع مشابه
New results in the deformed N = 4 SYM theory
We investigate various perturbative properties of the deformed N = 4 SYM theory. We carry out a three-loops calculation of the chiral matter superfield propagator and derive the condition on the couplings for maintaining finiteness at this order. We compute the 2-, 3-and 4-point functions of composite operators of dimension 2 at two loops. We identify all the scalar operators (chiral and non-ch...
متن کاملA non-renormalization theorem for chiral primary 3-point functions
In this note we prove a non-renormalization theorem for the 3-point functions of 1/2 BPS primaries in the four-dimensional N = 4 SYM and chiral primaries in two dimensional N = (4, 4) SCFTs. Our proof is rather elementary: it is based on Ward identities and the structure of the short multiplets of the superconformal algebra and it does not rely on superspace techniques. We also discuss some pos...
متن کاملOn Non-renormalization and OPE in Superconformal Field Theories
The OPE of two N = 2 R-symmetry current (short) multiplets is determined by the possible superspace three-point functions that two such multiplets can form with a third, a priori long multiplet. We show that the shortness conditions on the former put strong restrictions on the quantum numbers of the latter. In particular, no anomalous dimension is allowed unless the third supermultiplet is an R...
متن کاملTwo-point functions in AdS/dCFT and the boundary conformal bootstrap equations
We calculate the leading contributions to the connected two-point functions of protected scalar operators in the defect version of N = 4 SYM theory which is dual to the D5-D3 probe-brane system with k units of background gauge field flux. This involves several types of two-point functions which are vanishing in the theory without the defect, such as two-point functions of operators of unequal c...
متن کاملThree-Point Functions in N = 4 SYM Theory at One-Loop
We analyze the one-loop correction to the three-point function coefficient of scalar primary operators in N = 4 SYM theory. By applying constraints from the superconformal symmetry, we demonstrate that the type of Feynman diagrams that contribute depends on the choice of renormalization scheme. In the planar limit, explicit expressions for the correction are interpreted in terms of the hamilton...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2001