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We consider the correlator <W_n O(x)> of a light-like polygonal Wilson loop with n cusps with a local operator (like the dilaton or the chiral primary scalar) in planar N =4 super Yang-Mills theory. As a consequence of conformal symmetry,…

High Energy Physics - Theory · Physics 2015-05-28 L. F. Alday , E. I. Buchbinder , A. A. Tseytlin

We describe new solutions for open string moving in AdS_5 and ending in the boundary, namely dual to Wilson loops in N=4 SYM theory. First we introduce an ansatz for Euclidean curves whose shape contains an arbitrary function. They are BPS…

High Energy Physics - Theory · Physics 2010-05-28 R. Ishizeki , M. Kruczenski , A. Tirziu

We make an ansatz for the Mellin representation of the four-point amplitude of half-BPS operators of arbitrary charges at order $\lambda^{-\frac{5}{2}}$ in an expansion around the supergravity limit. Crossing symmetry and a set of…

High Energy Physics - Theory · Physics 2023-08-14 J. M. Drummond , H. Paul , M. Santagata

Using information from the marginality conditions of vertex operators for the AdS_5 x S^5 superstring, we determine the structure of the dependence of the energy of quantum string states on their conserved charges and the string tension…

High Energy Physics - Theory · Physics 2013-05-30 M. Beccaria , S. Giombi , G. Macorini , R. Roiban , A. A. Tseytlin

The algebraic curve (finite-gap) classification of rotating string solutions was very important in the development of integrability through comparison with analogous structures at weak coupling. The classification was based on the analysis…

High Energy Physics - Theory · Physics 2015-06-04 Romuald A. Janik , Pawel Laskos-Grabowski

We compute some normalized structure constants in the $\eta$-deformed $AdS_5\times S^5$ in the framework of the semiclassical approach. This is done for the cases when the "heavy" string states are finite-size giant magnons carrying one…

High Energy Physics - Theory · Physics 2016-01-12 Plamen Bozhilov

The the duality between ${\cal N}=4$ SYM and the AdS$_5\times\;$S$^5$ superstring appears to enjoy quantum integrability in the planar limit, which allowed to devise powerful methods ostensibly solving the spectral problem. However,…

High Energy Physics - Theory · Physics 2016-11-08 Martin Heinze

It has been recently proposed that string theory in the background of a plane wave corresponds to a certain subsector of the N=4 supersymmetric Yang-Mills theory. This correspondence follows as a limit of the AdS/CFT duality. As a…

High Energy Physics - Theory · Physics 2009-11-07 David J. Gross , Andrei Mikhailov , Radu Roiban

Anomalous dimensions of high-twist Wilson operators have a nontrivial scaling behavior in the limit when their Lorentz spin grows exponentially with the twist. To describe the corresponding scaling function in planar N=4 SYM theory, we…

High Energy Physics - Theory · Physics 2008-11-26 B. Basso , G. P. Korchemsky

We find classical open string solutions in the $AdS_5\times S^5/\Zop_2$ orientifold with angular momenta along the five-sphere. The energy of these solutions has an expansion in integral powers of $\lambda$ with sigma-model corrections…

High Energy Physics - Theory · Physics 2009-11-10 B. Stefanski

Planar gluon amplitudes in N=4 SYM are remarkably similar to expectation values of Wilson loops made of light-like segments. We argue that the latter can be determined by making use of the conformal symmetry of the gauge theory, broken by…

High Energy Physics - Theory · Physics 2009-11-18 J. M. Drummond , J. Henn , G. P. Korchemsky , E. Sokatchev

Using AdS/CFT we derive from the folded spinning string ordinary differential equations for the anomalous dimension of the dual N=4 SYM twist-two operators at strong coupling. We show that for large spin the asymptotic solutions have the…

High Energy Physics - Theory · Physics 2011-07-25 Michael Pawellek

An uncontroversial observation of adjoint string breaking is proposed, while measuring the static potential from Wilson loops only. The overlap of the Wilson loop with the broken-string state is small, but non-vanishing, so that the…

High Energy Physics - Lattice · Physics 2015-06-25 Slavo Kratochvila , Philippe de Forcrand

We study the class of pulsating strings on $AdS_5\times T^{1,1}$. Using a generalized ansatz for pulsating string configurations we find new solutions of this class. Further we quasi-classically quantize the theory and obtain the first…

High Energy Physics - Theory · Physics 2010-07-06 D. Arnaudov , H. Dimov , R. C. Rashkov

Following Polchinski and Sully (arXiv:1104.5077), we consider a generalized Wilson loop operator containing a constant parameter $\zeta$ in front of the scalar coupling term, so that $\zeta=0$ corresponds to the standard Wilson loop, while…

High Energy Physics - Theory · Physics 2021-10-12 Matteo Beccaria , Simone Giombi , Arkady Tseytlin

We study the four-point correlator of 1/2-BPS operators of weight 4 in N=4 SYM, which are dual to massive KK modes in AdS_5 supergravity. General field-theoretic arguments lead to a partially non-renormalized form of the amplitude that…

High Energy Physics - Theory · Physics 2010-04-05 G. Arutyunov , E. Sokatchev

We consider an exremal three-point correlator of three heavy vertex operators for the circular winding string state with one large spin and one windining number in AdS5 and one large spin and one winding number in S5. We use a…

High Energy Physics - Theory · Physics 2015-06-04 Shijong Ryang

Integrands for colour ordered scattering amplitudes in planar N=4 SYM are dual to those of correlation functions of the energy-momentum multiplet of the theory. The construction can relate amplitudes with different numbers of legs. By graph…

High Energy Physics - Theory · Physics 2013-12-05 Raquel G. Ambrosio , Burkhard Eden , Timothy Goddard , Paul Heslop , Charles Taylor

We identify a regime of the AdS/CFT correspondence in which we can quantitatively match N=4 super Yang-Mills (SYM) for small 't Hooft coupling with weakly coupled type IIB string theory on AdS_5 x S^5. We approach this regime by taking the…

High Energy Physics - Theory · Physics 2011-06-02 Troels Harmark , Kristjan R. Kristjansson , Marta Orselli

We make a further step in the analytically exact quantization of spinning string states in semiclassical approximation, by evaluating the exact one-loop partition function for a class of two-spin string solutions for which quadratic…

High Energy Physics - Theory · Physics 2015-06-23 V. Forini , V. Giangreco M. Puletti , M. Pawellek , E. Vescovi