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Exact renormalization group techniques are applied to mass deformed N=4 supersymmetric Yang-Mills theory, viewed as a regularised N=2 model. The solution of the flow equation, in the local potential approximation, reproduces the one-loop…

高能物理 - 理论 · 物理学 2008-11-26 S. Arnone , D. Francia , K. Yoshida

Perturbative computations of the expectation value of the Wilson loop in N=4 supersymmetric Yang-Mills theory are reported. For the two special cases of a circular loop and a pair of anti-parallel lines, it is shown that the sum of an…

高能物理 - 理论 · 物理学 2009-10-31 J. K. Erickson , G. W. Semenoff , K. Zarembo

We study the connected correlator of 1/2 BPS winding Wilson loops in $\mathcal{N}=4$ $U(N)$ super Yang-Mills theory, where those Wilson loops are on top of each other along the same circle. We find the exact finite $N$ expression of the…

高能物理 - 理论 · 物理学 2018-11-14 Kazumi Okuyama

We illustrate some physical application of a lattice formulation of the two-dimensional $\mathcal{N}=(2,2)$ supersymmetric SU(2) Yang-Mills theory with a (small) supersymmetry breaking scalar mass. Two aspects, power-like behavior of…

高能物理 - 格点 · 物理学 2009-02-18 Issaku Kanamori , Hiroshi Suzuki

We compute the leading-color (planar) three-loop four-point amplitude of N=4 supersymmetric Yang-Mills theory in 4 - 2 epsilon dimensions, as a Laurent expansion about epsilon = 0 including the finite terms. The amplitude was constructed…

高能物理 - 理论 · 物理学 2008-11-26 Zvi Bern , Lance J. Dixon , Vladimir A. Smirnov

We present some of the latest results from our numerical investigations of N=4 supersymmetric Yang--Mills theory formulated on a space-time lattice. Based on a construction that exactly preserves a single supersymmetry at non-zero lattice…

高能物理 - 格点 · 物理学 2022-09-21 David Schaich , Simon Catterall , Poul H. Damgaard , Joel Giedt

We present a three-loop O(g^6) calculation of the difference between the expectation values of Wilson loops evaluated in N=4 and superconformal N=2 supersymmetric Yang-Mills theory with gauge group SU(N) using dimensional reduction. We find…

高能物理 - 理论 · 物理学 2010-11-04 Roman Andree , Donovan Young

We show that appropriately supersymmetrized smooth Maldacena-Wilson loop operators in N=4 super Yang-Mills theory are invariant under a Yangian symmetry Y[psu(2,2|4)] built upon the manifest superconformal symmetry algebra of the theory.…

高能物理 - 理论 · 物理学 2015-06-17 Dennis Muller , Hagen Munkler , Jan Plefka , Jonas Pollok , Konstantin Zarembo

The Yangian level-one hypercharge generator for the super Wilson loop in N = 4 supersymmetric Yang-Mills theory is constructed. Moreover, evidence for the presence of a corresponding symmetry generator at all higher levels is provided. The…

高能物理 - 理论 · 物理学 2016-04-20 Hagen Munkler

In this work, we compute the two-loop result of the null hexagonal Wilson loop with a Lagrangian insertion in planar, maximally supersymmetric Yang-Mills theory via a bootstrap approach. Normalized by the null polygonal Wilson loop itself,…

高能物理 - 理论 · 物理学 2025-05-05 Sérgio Carrôlo , Dmitry Chicherin , Johannes Henn , Qinglin Yang , Yang Zhang

We study an ${\cal N}=1$ supersymmetric Yang-Mills theory defined on $M^4\times S^1$. The vacuum expectation values for adjoint scalar field in vector multiplet, though important, has been overlooked in evaluating one-loop effective…

高能物理 - 理论 · 物理学 2009-11-10 Naoyuki Haba , Kazunori Takenaga , Toshifumi Yamashita

We use supersymmetric localization to study probes of four dimensional Lagrangian N=2 superconformal field theories. We first derive a unique equation for the eigenvalue density of these theories. We observe that these theories have a…

高能物理 - 理论 · 物理学 2016-03-23 Bartomeu Fiol , Blai Garolera , Genis Torrents

We consider $U(N)$ $\mathcal N=4$ super Yang-Mills theory and discuss how to extract the strong coupling limit of non-planar corrections to observables involving the $\frac{1}{2}$-BPS Wilson loop. Our approach is based on a suitable saddle…

高能物理 - 理论 · 物理学 2021-05-12 Matteo Beccaria , Azeem Hasan

We study the relation between 5D super Yang-Mills theory and the holographic description of 6D (2,0) superconformal theory. We start by clarifying some issues related to the localization of N=1 SYM with matter on $S^5$. We concentrate on…

高能物理 - 理论 · 物理学 2013-08-19 Joseph A. Minahan , Anton Nedelin , Maxim Zabzine

We study our Schwinger-Dyson equation as well as the large $N_{c}$ loop equation for supersymmetric Yang-Mills theory in four dimensions by the N=1 superspace Wilson-loop variable. We are successful in deriving a new manifestly…

高能物理 - 理论 · 物理学 2009-10-30 Hiroshi Itoyama , Hiroyuki Takashino

BPS Wilson loops in supersymmetric gauge theories have been the subjects of active research since they are often amenable to exact computation. So far most of the studies have focused on loops that do not intersect. In this paper, we derive…

高能物理 - 理论 · 物理学 2020-07-15 Simone Giombi , Shota Komatsu

We compute $1/\lambda$ corrections to the four-point functions of half-BPS operators in $SU(N)$ $\mathcal{N}=4$ super-Yang-Mills theory at large $N$ and large 't Hooft coupling $\lambda=g_\text{YM}^2 N$ using two methods. Firstly, we relate…

高能物理 - 理论 · 物理学 2020-01-29 Damon J. Binder , Shai M. Chester , Silviu S. Pufu , Yifan Wang

We study the half-BPS circular Wilson loop in ${\cal N}=4$ super Yang-Mills with orthogonal gauge group. By supersymmetric localization, its expectation value can be computed exactly from a matrix integral over the Lie algebra of $SO(N)$.…

高能物理 - 理论 · 物理学 2020-06-22 Simone Giombi , Bendeguz Offertaler

We present a full two-loop O(g^6) perturbative field theoretic calculation of the expectation value of two circular Maldacena-Wilson loops in D=4 N=4 supersymmetric U(N) gauge theory. It is demonstrated that, after taking into account very…

高能物理 - 理论 · 物理学 2010-02-03 Jan Plefka , Matthias Staudacher

We compute the one-loop non-holomorphic effective potential for the N=4 SU(n) supersymmetric Yang-Mills theory with the gauge symmetry broken down to the maximal torus. Our approach remains powerful for arbitrary gauge groups and is based…

高能物理 - 理论 · 物理学 2009-10-31 E. I. Buchbinder , I. L. Buchbinder , S. M. Kuzenko