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We compute a set of correlation functions of operator insertions on the 1/8 BPS Wilson loop in $\mathcal{N}=4$ SYM by employing supersymmetric localization, OPE and the Gram-Schmidt orthogonalization. These correlators exhibit a simple…

High Energy Physics - Theory · Physics 2018-11-09 Simone Giombi , Shota Komatsu

We study correlation functions of local operator insertions on the 1/2-BPS Wilson line in ${\cal N}=4$ super Yang-Mills theory. These correlation functions are constrained by the 1d superconformal symmetry preserved by the 1/2-BPS Wilson…

High Energy Physics - Theory · Physics 2019-05-20 Simone Giombi , Radu Roiban , Arkady A. Tseytlin

We study the large 't Hooft coupling expansion of 1/2 BPS Wilson loops in the anti-symmetric representation in $ \mathcal{N}=4 $ super Yang-Mills (SYM) theory at the leading order in the 1/N expansion. Via AdS/CFT correspondence, this…

High Energy Physics - Theory · Physics 2016-09-30 Masaatsu Horikoshi , Kazumi Okuyama

We present a new, two-parameter family of string solutions corresponding to the holographic duals of specific 1/8-BPS Wilson loops on S^2 in N = 4 supersymmetric Yang-Mills theory. The solutions are obtained using the dressing method on the…

High Energy Physics - Theory · Physics 2011-08-09 Chrysostomos Kalousios , Donovan Young

Recently it was shown that the scaling dimension of the operator $\phi^n$ in $\lambda(\bar\phi\phi)^2$ theory may be computed semiclassically at the Wilson-Fisher fixed point in $d=4-\epsilon$, for generic values of $\lambda n$, and this…

High Energy Physics - Theory · Physics 2021-12-01 I. Jack , D. R. T. Jones

Prompted by recent progress in the study of N=4 super Yang-Mills amplitudes, and evidence that similar approaches might be relevant to N=8 supergravity, we investigate possible iterative structures and applications of Wilson loop techniques…

High Energy Physics - Theory · Physics 2008-11-26 Andreas Brandhuber , Paul Heslop , Adele Nasti , Bill Spence , Gabriele Travaglini

We investigate the possible size of two-loop radiative corrections to the Higgs trilinear coupling $\lambda_{hhh}$ in two types of models with extended Higgs sectors, namely in a Two-Higgs-Doublet Model (2HDM) and in the Inert Doublet Model…

High Energy Physics - Phenomenology · Physics 2019-08-08 Johannes Braathen , Shinya Kanemura

We use the results of Maher {\em et al.\/} (preceding paper) to construct the matrix of $j=0$ partial-wave two-body and $2\rightarrow3$ scattering amplitudes for the scattering of longitudinally polarized gauge bosons $W_L^\pm$, $Z_L$ and…

High Energy Physics - Phenomenology · Physics 2009-10-22 Loyal Durand , Peter N. Maher , Kurt Riesselmann

We describe a non-perturbative quantization of classical Wilson loops in the WZW model. The quantized Wilson loop is an operator acting on the Hilbert space of closed strings and commuting either with the full Kac-Moody chiral algebra or…

High Energy Physics - Theory · Physics 2008-11-26 Anton Alekseev , Samuel Monnier

We study the most general Two Higgs Doublet Model with $SU(2)$ gauge fields on the lattice. The phase space is probed through the computation of gauge-invariant global observables serving as proxies for order parameters. In each phase, the…

We investigate the supersymmetric Wilson loops in $d=3$ $\mathcal{N}=4$ super Chern-Simons-matter theory obtained from non-chiral orbifold of ABJM theory. We work in both Minkowski spacetime and Euclidean space, and we construct 1/4 and 1/2…

High Energy Physics - Theory · Physics 2015-12-04 Hao Ouyang , Jun-Bao Wu , Jia-ju Zhang

Starting from mirror pairs consisting only of linear (framed A-type) quivers, we demonstrate that a wide class of three-dimensional quiver gauge theories with N=4 supersymmetry and their mirror duals can be obtained by suitably gauging…

High Energy Physics - Theory · Physics 2014-07-16 Anindya Dey , Amihay Hanany , Peter Koroteev , Noppadol Mekareeya

We construct new families of 1/4 BPS Wilson loops in circular quiver $\mathcal N=4$ superconformal Chern-Simons-matter (SCSM) theories in three dimensions. They are defined as the holonomy of superconnections that contain non-trivial…

High Energy Physics - Theory · Physics 2018-01-17 Andrea Mauri , Silvia Penati , Jia-ju Zhang

With the Large Hadron Collider's Run 3 in progress, the 125 GeV Higgs boson couplings are being examined in greater detail, while searching for additional scalars. Multi-Higgs frameworks allow Higgs couplings to significantly deviate from…

High Energy Physics - Phenomenology · Physics 2025-07-30 Fernando Abreu de Souza , Rafael Boto , Miguel Crispim Romão , Pedro N. Figueiredo , Jorge C. Romão , João P. Silva

We present a semi-numerical algorithm to calculate one-loop virtual corrections to scattering amplitudes. The divergences of the loop amplitudes are regulated using dimensional regularization. We treat in detail the case of amplitudes with…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. K. Ellis , W. T. Giele , G. Zanderighi

The eigenvalue distribution of Hoppe's two matrix model is investigated in detail as a function of the model's coupling. For small couplings it is a perturbed Wigner semicircle, while for large couplings it is a parabolic distribution which…

High Energy Physics - Theory · Physics 2013-11-13 Veselin G. Filev , Denjoe O'Connor

In this letter we study the dilatonic corrections to the static gauge potential between heavy sources. These corrections come from the solutions to the the lowest order beta equations. In the energetically favoured branch, the potential…

High Energy Physics - Theory · Physics 2015-06-25 Juan Jose Manjarin

We study the circular Wilson loop in the symmetric representation of U(N) in $\mathcal{N} = 4$ super-Yang-Mills (SYM). In the large N limit, we computed the exponentially-suppressed corrections for strong coupling, which suggests…

High Energy Physics - Theory · Physics 2017-01-11 Xinyi Chen-Lin

The planar resolvent for N=3 U(N)_k Chern-Simons theory coupled to an arbitrary number of adjoint matters is determined. Analytic continuation of the 't Hooft coupling t is analyzed. The eigenvalue distribution turns out to be confined in a…

High Energy Physics - Theory · Physics 2015-06-11 Takao Suyama

The half-wave maps equation is a nonlocal geometric equation arising in the continuum dynamics of Haldane-Shashtry and Calogero-Moser spin systems. In high dimensions $n\geq4$, global wellposedness for data which is small in the critical…

Analysis of PDEs · Mathematics 2024-03-22 Katie Marsden