# Cusped Wilson lines in symmetric representations

@article{Correa2015CuspedWL,
title={Cusped Wilson lines in symmetric representations},
author={Diego H. Correa and Fidel I. Schaposnik Massolo and Diego Trancanelli},
journal={Journal of High Energy Physics},
year={2015},
volume={2015},
pages={1-20}
}
• Published 4 June 2015
• Mathematics
• Journal of High Energy Physics
A bstractWe study the cusped Wilson line operators and Bremsstrahlung functions associated to particles transforming in the rank-k symmetric representation of the gauge group U(N) for N=4$$\mathcal{N}=4$$ super Yang-Mills. We find the holographic D3-brane description for Wilson loops with internal cusps in two different limits: small cusp angle and kλ≫N$$k\sqrt{\lambda}\gg N$$. This allows for a non-trivial check of a conjectured relation between the Bremsstrahlung function and the…
9 Citations
• Mathematics
Journal of Physics A: Mathematical and Theoretical
• 2022
The generalized Wilson loop operator interpolating between the supersymmetric and the ordinary Wilson loop in N=4 SYM theory provides an interesting example of renormalization group flow on a line
Compact expressions in terms of the Q-functions of the Quantum Spectral Curve are given for 3-cusped fundamental Wilson loops in the ladders limit of $\mathcal{N}=4$ Super Yang-Mills with additional
• Physics
• 2016
A bstractWe study the cusp anomalous dimension in N$$\mathcal{N}$$ = 6 ABJ(M) theory, identifying a scaling limit in which the ladder diagrams dominate. The resummation is encoded into a
• Physics
• 2015
A bstractA recent proposal was made for a large representation rank limit for which the expectation values of N=4$$\mathcal{N}=4$$ super Yang-Mills Wilson loops are given by the exponential of the
• Mathematics
• 2022
The generalized Wilson loop operator interpolating between the supersymmetric and the ordinary Wilson loop in N “ 4 SYM theory provides an interesting example of renormalization group flow on a line
: Compact expressions in terms of the Q-functions of the Quantum Spectral Curve are given for 3-cusped fundamental Wilson loops in the ladders limit of N = 4 Super Yang-Mills with additional scalars
In the nearly twenty years that have elapsed since its discovery, the gauge-gravity correspondence has become established as an efficient tool to explore the physics of a large class of
• Physics
• 2016
A bstractIn the context of AdS/CFT we provide analytical support for the proposed duality between a Wilson loop with a cusp, the cusp anomalous dimension, and the meson model constructed from a

## References

SHOWING 1-10 OF 55 REFERENCES

• Mathematics
• 2013
We construct a generalized cusped Wilson loop operator in N = 6 super Chern-Simons-matter theories which is locally invariant under half of the supercharges. It depends on two parameters and
• Mathematics
• 2014
A bstractWe consider the classical limit of the recently obtained exact near-BPS result for the anomalous dimension of a cusped Wilson line with the insertion of an operator with L units of R-charge
• Mathematics
• 2013
A bstractCorrelation functions of Wilson lines are relevant for describing the infrared structure of scattering amplitudes. We develop a new method for evaluating a wide class of such Wilson line
• Mathematics
• 2014
A bstractWe compute the 1-loop partition function for strings in AdS4×ℂℙ3$$Ad{S}_4\times \mathrm{\mathbb{C}}{\mathrm{\mathbb{P}}}^3$$, whose worldsheets end along a line with small cusp angles in
• Physics
• 2014
A bstractWe compute the null cusp anomalous dimension of ABJM theory at strong coupling up to two-loop order. This is done by evaluating corrections to the corresponding superstring partition
We propose a method to calculate the expectation values of an operator similar to the Wilson loop in the large $N$ limit of field theories. We consider
• Mathematics
• 2014
A bstractWe compute the exact vacuum expectation value of circular Wilson loops for Euclidean N$$\mathcal{N}$$ = 4 super Yang-Mills with G = SO(N),Sp(N), in the fundamental and spinor
• Mathematics
• 2012
A bstractWe study the velocity-dependent cusp anomalous dimension in supersymmetric Yang-Mills theory. In a paper by Correa, Maldacena, Sever, and one of the present authors, a scaling limit was
• Mathematics
• 2012
A bstractWe derive a set of integral equations of the TBA type for the generalized cusp anomalous dimension, or the quark antiquark potential on the three sphere, as a function of the angles. We do