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We discuss supergraphs and their relation to "chiral functions" in N=4 Super Yang-Mills. Based on the magnon dispersion relation and an explicit three-loop result of Sieg's we make an all loop conjecture for the rational contributions of…

High Energy Physics - Theory · Physics 2015-05-30 Joseph A. Minahan

We test the spectrum of string theory on AdS_5 x S^5 derived in hep-th/0305052 against that of single-trace gauge invariant operators in free N=4 super Yang-Mills theory. Masses of string excitations at critical tension are derived by…

High Energy Physics - Theory · Physics 2011-03-23 N. Beisert , M. Bianchi , J. F. Morales , H. Samtleben

In four-dimensional $\mathcal{N}=4$ super Yang-Mills theory with gauge group $SU(N)$, we present a closed-form solution for a family of integrated four-point functions involving stress tensor multiplet composites of arbitrary R-charge.…

High Energy Physics - Theory · Physics 2023-03-24 Hynek Paul , Eric Perlmutter , Himanshu Raj

In this Letter we consider renormalization of a class of scalar operators with fixed hypercharge $Q$ within the Standard Model. We carry out explicit computation of the corresponding anomalous dimensions up to the three-loop order. In spite…

High Energy Physics - Phenomenology · Physics 2024-04-04 A. V. Bednyakov

We construct an exact analytical solution to the integral equation which is believed to describe logarithmic growth of the anomalous dimensions of high spin operators in planar N=4 super Yang-Mills theory and use it to determine the strong…

High Energy Physics - Theory · Physics 2011-01-28 B. Basso , G. P. Korchemsky , J. Kotanski

We express one-loop string amplitudes involving both open and closed strings as sum over pure open string amplitudes. These findings generalize the analogous tree-level result to higher loops and extend the tree-level observation that in…

High Energy Physics - Theory · Physics 2022-02-10 S. Stieberger

The relation between the dilatation operator of N=4 Yang-Mills theory and integrable spin chains makes it possible to compute the one-loop anomalous dimensions of all operators in the theory. In this paper we show how to apply the…

High Energy Physics - Theory · Physics 2010-02-03 Radu Roiban , Anastasia Volovich

In the framework of the semiclassical approach, we compute the normalized structure constants in three-point correlation functions, when two of the vertex operators correspond to heavy string states, while the third vertex corresponds to a…

High Energy Physics - Theory · Physics 2011-10-06 Plamen Bozhilov

We produce the open strings on $\mathbb{R}\times S^{2}$ that correspond to the solutions of integrable boundary sine-Gordon theory by making use of the $N$-magnon solutions provided in \cite{KPV} together with explicit moduli. Relating the…

High Energy Physics - Theory · Physics 2011-01-27 A. Ciavarella

We find the anomalous dimension and the conserved charges of an R-charged string pulsating on AdS_5. The analysis is performed both on the gauge and string side, where we find agreement at the one-loop level. Furthermore, the solution is…

High Energy Physics - Theory · Physics 2010-02-03 M. Smedbäck

We demonstrate the existence of an infinite number of local commuting charges for classical solutions of the string sigma model on AdS_5 x S^5 associated with a certain circular three-spin solution spinning with large angular momenta in…

High Energy Physics - Theory · Physics 2009-11-10 Johan Engquist

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…

High Energy Physics - Theory · Physics 2020-12-08 A. A. Tseytlin

We compute the leading finite-size effects on the normalized structure constants in semiclassical three-point correlation functions of two finite-size giant magnon string states and three different types of "light" states - primary scalar…

High Energy Physics - Theory · Physics 2013-08-09 Plamen Bozhilov

This work is about pure Yang-Mills theory in four Euclidean dimensions with gauge group SU(N). We study rectangular smeared Wilson loops on the lattice at large N and relatively close to the large-N transition point in their eigenvalue…

High Energy Physics - Lattice · Physics 2015-06-05 Robert Lohmayer , Herbert Neuberger

Consequences of a strong version of the AdS/CFT correspondence for extremely stringy physics are examined. In particular, properties of N = 4 supersymmetric Yang-Mills theory are used to extract results about interacting tensionless strings…

High Energy Physics - Theory · Physics 2009-11-07 Bo Sundborg

Recently, Freyhult, Rej and Staudacher (FRS) proposed an integral equation determining the leading logarithmic term of the anomalous dimension of sl(2) twist-operators in N=4 SYM for large Lorentz spin M and twist L at fixed j = L/log(M).…

High Energy Physics - Theory · Physics 2011-06-02 Matteo Beccaria

We consider the scalar operators corresponding to semiclassical string states in AdS_5xS^5 with the three angular momenta in S^5 non-trivial. The string states recieve quantum corrections and we study the corresponding process on the gauge…

High Energy Physics - Theory · Physics 2009-11-10 Lisa Freyhult

We study a one parameter family of supersymmetric marginal deformations of ${\cal N}=4$ SYM with $U(1)^3$ symmetry, known as $\beta$-deformations, to understand their dual $AdS\times X$ geometry, where $X$ is a large classical geometry in…

High Energy Physics - Theory · Physics 2015-06-22 David Berenstein , Eric Dzienkowski

On-shell amplitude methods have proven to be extremely efficient for calculating anomalous dimensions. We further elaborate on these methods to show that, by the use of an angular momentum decomposition, the one-loop anomalous dimensions…

High Energy Physics - Phenomenology · Physics 2022-11-24 Pietro Baratella , Clara Fernandez , Benedict von Harling , Alex Pomarol

We review the spin bit model describing anomalous dimensions of the operators of Super Yang--Mills theory. We concentrate here on the scalar sector. In the limit of large $N$ this model coincides with integrable spin chain while at finite N…

High Energy Physics - Theory · Physics 2007-05-23 S. Bellucci , P. Y. Casteill , J. F. Morales , C. Sochichiu