Three-point correlators of twist-2 operators in N=4 SYM at Born approximation

Abstract

We calculate two different types of 3-point correlators involving twist-2 operators in the leading weak coupling approximation and all orders in N_c in N=4 SYM theory. Each of three operators in the first correlator can be any component of twist-2 supermultiplet, though the explicit calculation was done for a particular component which is an SU(4) singlet. It is calculated in the leading, Born approximation for arbitrary spins j_1,j_2,j_3. The result significantly simplifies when at least one of the spins is large or equal to zero and the coordinates are restricted to the 2d plane spanned by two light-rays. The second correlator involves two twist-2 operators Tr X\nabla^{j_1}X +..., Tr Z\nabla^{j_2}Z+... and one Konishi operator Tr[\bar Z,\bar X]^2. It vanishes in the lowest g^0 order and is computed at the leading g^2 approximation.

30 pages, 6 figures; version 2: normalization for propagators was changed, added references

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• The hexagon in the mirror: the three-point function in the SoV representation
• Fixing the Quantum Three-Point Function
• A tree-level 3-point function in the su(3)-sector of planar N=4 SYM
• Three-Point Functions and su(1|1) Spin Chains
• The role of leading twist operators in the Regge and Lorentzian OPE limits
• Three-point correlator of twist-2 operators in BFKL limit
• String Bits and the Spin Vertex
• Three-point correlators from string amplitudes: Mixing and Regge spins
• A new representation for two- and three-point correlators of operators from sl(2) sector
• $n$-point correlators of twist-$2$ operators in $SU(N)$ Yang-Mills theory to the lowest perturbative order
• Diagonal Form Factors and Hexagon Form Factors II. Non-BPS Light Operator
• UV asymptotics of $n$-point correlators of twist-$2$ operators in SU($N$) Yang-Mills theory
• Structure constants of twist-two light-ray operators in the triple Regge limit