5,153 research outputs found
On structure constants with two spinning twist-two operators
I consider three-point functions of one protected and two unprotected
twist-two operators with spin in N=4 SYM at weak coupling. At one loop I
formulate an empiric conjecture for the dependence of the corresponding
structure constants on the spins of the operators. Using such an ansatz and
some input from explicit perturbative results, I fix completely various
infinite sets of one-loop structure constants of these three-point functions.
Finally, I determine the two-loop corrections to the structure constants for a
few fixed values of the spins of the operators.Comment: 21 page
A note on three-point functions of unprotected operators
Given the recent progress in computing three-point functions in N=4 SYM via
integrability, I provide here a novel direct calculation of some structure
constants at weak coupling. The main focus is on correlators involving more
than one unprotected operator, at two-loop order in the perturbative expansion.Comment: 17 page
ABJM -Bremsstrahlung at four loops and beyond
In ABJ(M) theory a generalized cusp can be constructed out of the 1/6 BPS
Wilson line by introducing an angle in the spacial contour and/or an
angle in the internal R-symmetry space. The small angles limits of its
anomalous dimension are controlled by corresponding Bremsstrahlung functions.
In this note we compute the internal space -Bremsstrahlung function to
four loops at weak coupling in the planar limit. Based on this result, we
propose an all order conjecture for the -Bremsstrahlung function.Comment: 40 pages; v2: references added, JHEP published extended versio
ABJM -Bremsstrahlung at four loops and beyond: non-planar corrections
We consider the Bremsstrahlung function associated to a 1/6-BPS Wilson loop
in ABJM theory, with a cusp in the couplings to scalar fields. We non-trivially
extend its recent four-loop computation at weak coupling to include non-planar
corrections. We have recently proposed a conjecture relating this object to
supersymmetric circular Wilson loops with multiple windings, which can be
computed via localization. We find agreement between this proposal and the
perturbative computation of the Bremsstrahlung function, including color
sub-leading corrections. This supports the conjecture and hints at its validity
beyond the planar approximation.Comment: 22 page
On the ABJM four-point amplitude at three loops and BDS exponentiation
We study the three-loop four-point amplitude in ABJM theory. We determine the
dual conformal invariant integrals with highest number of propagators and fix
their coefficients by two-particle cuts. Evaluating such a combination of
integrals in dimensional regularization we provide evidence for exponentiation
of the amplitude, including the finite terms. In addition we show that the
three-loop amplitude can be expressed in terms of classical polylogarithms of
uniform degree of transcendentality.Comment: 31 pages, 4 figure
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