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The dilatation operator measures scaling dimensions of local operator in a conformal field theory. Algebraic methods of constructing the dilatation operator in four-dimensional N=4 gauge theory are reviewed. These led to the discovery of…

High Energy Physics - Theory · Physics 2011-03-23 Niklas Beisert

In this paper we present semiclassical computations of the splitting of folded spinning strings in AdS_3, which may be of interest in the context of AdS/CFT duality. We start with a classical closed string and assume that it can split on…

High Energy Physics - Theory · Physics 2015-03-19 E. M. Murchikova

We discuss the AdS/CFT duality from the perspective of integrable systems and establish a direct relationship between the dimension of single trace local operators composed of two types of scalar fields in N=4 super Yang-Mills and the…

High Energy Physics - Theory · Physics 2009-11-10 V. A. Kazakov , A. Marshakov , J. A. Minahan , K. Zarembo

The logarithmic running of marginal double-trace operators is a general feature of 4-d field theories containing scalar fields in the adjoint or bifundamental representation. Such operators provide leading contributions in the large N…

High Energy Physics - Theory · Physics 2009-11-11 A. Dymarsky , I. R. Klebanov , R. Roiban

We study some dynamical aspects of the correspondence between strings in AdS space and external heavy quarks in N=4 SYM. Specifically, by examining waves propagating on such strings, we make some plausible (and some surprising) inferences…

High Energy Physics - Theory · Physics 2009-10-31 Curtis G. Callan , Alberto Guijosa

We study the class of pulsating strings in AdS_5 x T^{1,1}. Using a generalized ansatz for pulsating string configurations we find new solutions of this class. Further we semiclassically quantize the theory and obtain the first correction…

High Energy Physics - Theory · Physics 2015-05-19 D. Arnaudov , H. Dimov , R. C. Rashkov

We derive stringy symmetries with conserved charges of arbitrarily high spins from the decoupling of two types of zero-norm states in the old covariant first quantized (OCFQ) spectrum of open bosonic string. These symmetries are valid to…

High Energy Physics - Theory · Physics 2009-11-10 Chuan-Tsung Chan , Jen-Chi Lee

Motivated by recent proposals in hep-th/0202021 and hep-th/0204051 we develop semiclassical quantization of superstring in $AdS_5 x S^5$. We start with a classical solution describing string rotating in $AdS_5$ and boosted along large…

High Energy Physics - Theory · Physics 2009-11-07 S. Frolov , A. A. Tseytlin

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, an asymptotic Bethe Ansatz that is claimed to describe anomalous dimensions of "long" operators in the planar N=6 supersymmetric three-dimensional Chern-Simons-matter theory dual to quantum superstrings in AdS_4 x CP^3 was…

High Energy Physics - Theory · Physics 2009-09-17 Tristan McLoughlin , Radu Roiban , Arkady A. Tseytlin

Two distinct $\eta$-deformations of strings on AdS$_5\times$S$^5$ can be defined; both amount to integrable quantum deformations of the string non-linear sigma model, but only one is itself a superstring background. In this paper we compare…

High Energy Physics - Theory · Physics 2021-12-22 Fiona K. Seibold , Alessandro Sfondrini

We go beyond a systematic review of the semiclassical approaches for determining the scaling dimensions of fixed-charge operators in $U(1)$ and $O(N)$ models by introducing a general strategy apt at determining the relation between a given…

High Energy Physics - Theory · Physics 2021-06-30 Oleg Antipin , Jahmall Bersini , Francesco Sannino , Zhi-Wei Wang , Chen Zhang

We discuss semiclassical quantization of closed superstrings in AdS_5 x S^5. We consider two basic examples: point-like string boosted along large circle of S^5 and folded string rotating in AdS_5. In the first case we clarify the general…

High Energy Physics - Theory · Physics 2009-09-17 A. A. Tseytlin

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…

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

We consider the conformal dimension of an operator with large spin, using a spinning D3-brane with electric flux in AdS_5 x S^5 instead of spinning fundamental string. This spinning D3-brane solution seems to correspond to an operator made…

High Energy Physics - Theory · Physics 2009-11-18 Dongmin Gang , Jae-Sung Park , Satoshi Yamaguchi

The ferromagnetic integrable SU(3) spin chain provides the one loop anomalous dimension of single trace operators involving the three complex scalars of N=4 supersymmetric Yang-Mills. We construct the non-linear sigma model describing the…

High Energy Physics - Theory · Physics 2009-11-10 Rafael Hernandez , Esperanza Lopez

We investigate higher loop integrability for a q-deformation of the su(2)-sector of N=4 SYM theory. First we construct a generalisation of the long range spin chain, which for the lowest orders describes the non-deformed dilatation…

High Energy Physics - Theory · Physics 2008-11-26 T. Mansson

We show how the gauge symmetry representations of the massless particle content of gauged supergravities that arise in the AdS/CFT correspondences can be derived from symmetric subgroups to be carried by string theory vertex operators in…

High Energy Physics - Theory · Physics 2010-11-15 L. Dolan , M. Langham

We find new explicit solutions describing closed strings spinning with equal angular momentum in two independent planes in the $AdS_5$ black hole spacetime. These are $2n$ folded strings in the radial direction and also winding $m$ times…

High Energy Physics - Theory · Physics 2011-03-28 A. L. Larsen

We consider small angle and large impact parameter high energy scattering of colourless states in SYM using the AdS/CFT correspondence. The gauge theory scattering amplitude is linked with a correlation function of tilted Wilson loops,…

High Energy Physics - Theory · Physics 2008-11-26 R. A. Janik , R. Peschanski
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