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We use light-like Wilson loops and the AdS/CFT correspondence to compute the anomalous dimensions of twist two operators in the cascading (Klebanov-Strassler) theory. The computation amounts to find a minimal surface in the UV region of the…

高能物理 - 理论 · 物理学 2009-11-10 Martin Kruczenski

We review the computation of the anomalous dimension of twist operators in the planar limit of N=4 SYM using the asymptotic Bethe ansatz and demonstrate how this quantity is obtained at weak, strong and intermediate values of the coupling…

高能物理 - 理论 · 物理学 2015-05-20 Lisa Freyhult

We compute analytically the two-loop contribution to the correlation function of the Lagrangian with a four-sided light-like (or null) Wilson loop in N=4 super Yang-Mills. As a non-trivial test of our result, we reproduce the three-loop…

高能物理 - 理论 · 物理学 2013-10-17 Luis F. Alday , Johannes M. Henn , Jakub Sikorowski

We show that the 4-dimensional N=1/2 supersymmetry algebra admits central extension. The central charges are supported by domain wall and the central charges are computed. We also determine the Konishi anomaly for N=1/2 supersymmetric gauge…

高能物理 - 理论 · 物理学 2010-04-05 Chong-Sun Chu , Takeo Inami

We present an expression for the leading-color (planar) four-loop four-point amplitude of N=4 supersymmetric Yang-Mills theory in 4-2 e dimensions, in terms of eight separate integrals. The expression is based on consistency of unitarity…

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

The scaling dimensions of large operators in N=4 supersymmetric Yang-Mills theory are dual to energies of semiclassical strings in AdS(5)xS(5). At one loop, the dimensions of large operators can be computed with the help of Bethe ansatz and…

高能物理 - 理论 · 物理学 2009-11-10 Martin Lubcke , Konstantin Zarembo

Recently the anomalous dimension of twist two operators in N=4 SYM theory was computed by Gubser, Klebanov and Polyakov in the limit of large 't Hooft coupling using semi-classical rotating strings in AdS_5. Here we reproduce their results…

高能物理 - 理论 · 物理学 2009-11-07 Martin Kruczenski

We review some recent progress in understanding the spectrum of energies/dimensions of strings/operators in AdS5 x S5 -- planar N=4 super Yang-Mills correspondence. We consider leading strong coupling corrections to the energy of lightest…

高能物理 - 理论 · 物理学 2020-12-08 A. A. Tseytlin

We argue that existing methods for the perturbative computation of anomalous dimensions and the disentanglement of mixing in N = 4 gauge theory can be considerably simplified, systematized and extended by focusing on the theory's dilatation…

高能物理 - 理论 · 物理学 2011-03-23 N. Beisert , C. Kristjansen , M. Staudacher

We extend the recent one loop analysis of the ultraviolet completion of the $CP(N)$ nonlinear $\sigma$ model in six dimensions to two loop order in the MSbar scheme for an arbitrary covariant gauge. In particular we compute the anomalous…

高能物理 - 理论 · 物理学 2020-08-26 J. A. Gracey

We invent a method that exploits the geometry in the space of couplings and the known all-loop effective action, in order to calculate the exact in the couplings anomalous dimensions of composite operators for a wide class of integrable…

高能物理 - 理论 · 物理学 2019-11-06 George Georgiou , Pantelis Panopoulos , Eftychia Sagkrioti , Konstantinos Sfetsos

We consider supersymmetric Wilson loops a la Zarembo in planar supersymmetric Yang-Mills theories in diverse dimensions. Using perturbation theory we show that these loops have trivial vacuum expectation values to second order in the 't…

高能物理 - 理论 · 物理学 2009-08-12 Abhishek Agarwal , Donovan Young

We study, in the context of the three-dimensional ${\cal N}=6$ Chern-Simons-matter (ABJM) theory, the infrared-finite functions that result from performing $L-1$ loop integrations over the $L$-loop integrand of the logarithm of the…

高能物理 - 理论 · 物理学 2024-02-28 Johannes M. Henn , Martín Lagares , Shun-Qing Zhang

We compute the planar finite size corrections to the spectrum of the dilatation operator acting on two-impurity states of a certain limit of conformal $\mathcal{N}=2$ quiver gauge field theory which is a $Z_M$-orbifold of $\mathcal{N}=4$…

高能物理 - 理论 · 物理学 2009-11-11 Davide Astolfi , Valentina Forini , Gianluca Grignani , Gordon W. Semenoff

We compute the anomalous dimensions of a set of composite operators which involve derivatives at four loops in MSbar in phi^4 theory as a function of the operator moment n. These operators are similar to the twist-2 operators which arise in…

高能物理 - 唯象学 · 物理学 2008-11-26 S. E. Derkachov , J. A. Gracey , A. N. Manashov

We study string quantum corrections to the ratio of latitude and circular Wilson loops in N=4 super-Yang-Mills theory at strong coupling. Conformal gauge for the corresponding minimal surface in AdS(5)xS(5) is singular and we show that an…

高能物理 - 理论 · 物理学 2018-04-04 Alessandra Cagnazzo , Daniel Medina-Rincon , Konstantin Zarembo

Anomalous dimensions of Wilson operators with large Lorentz spin scale logarithmically with the spin. Recent multi-loop QCD calculations of twist-two anomalous dimensions revealed the existence of interesting structure of the subleading…

高能物理 - 理论 · 物理学 2008-11-26 B. Basso , G. P. Korchemsky

We discuss several aspects of superconformal field theories in four dimensions (CFT_4), in the context of electric-magnetic duality. We analyse the behaviour of anomalous currents under RG flow to a conformal fixed point in N=1, D=4…

高能物理 - 理论 · 物理学 2009-10-30 D. Anselmi , M. Grisaru , A. Johansen

We propose a mechanism for calculating anomalous dimensions of higher-spin twist-two operators in N=4 SYM. We consider the ratio of the two-point functions of the operators and of their superconformal descendants or, alternatively, of the…

高能物理 - 理论 · 物理学 2009-11-11 J. Henn , C. Jarczak , E. Sokatchev

We study supersymmetric Wilson loop operators in ABJM theory from both sides of the AdS_4/CFT_3 correspondence. We first construct some supersymmetric Wilson loops. The perturbative computations are performed in the field theory side at the…

高能物理 - 理论 · 物理学 2009-11-09 Bin Chen , Jun-Bao Wu