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We propose a new entry within the dictionary of the AdS/CFT duality at strong coupling: in the limit of a large spin or a large R-charge, the anomalous dimension of the gauge theory operator dual to a semiclassical rotating string is…

High Energy Physics - Theory · Physics 2015-06-19 Nelson R. F. Braga , Edmond Iancu

N = 6 superconformal Chern-Simons theory was proposed as gauge theory dual to Type IIA string theory on AdS4*CP3. We study integrability of the theory from conformal dimension spectrum of single trace operators at planar limit. At strong `t…

High Energy Physics - Theory · Physics 2009-02-09 Dongsu Bak , Soo-Jong Rey

Consider a spiked random tensor obtained as a mixture of two components: noise in the form of a symmetric Gaussian $p$-tensor for $p\geq 3$ and signal in the form of a symmetric low-rank random tensor. The latter is defined as a linear…

Probability · Mathematics 2021-10-11 Wei-Kuo Chen , Madeline Handschy , Gilad Lerman

We study spin models underlying the non-planar dynamics of ${\cal N}=4$ SYM gauge theory. In particular, we derive the non-local spin chain Hamiltonian generating dilatations in the gauge theory at leading order in $g_{\rm YM}^2 N$ but…

High Energy Physics - Theory · Physics 2009-11-10 S. Bellucci , P. -Y. Casteill , J. F. Morales , C. Sochichiu

We consider the low energy effective action corresponding to the 1-loop, planar, dilatation operator in the scalar sector of N=4 SU(N) SYM theory. For a general class of non-holomorphic ``long'' operators, of bare dimension L>>1, it is a…

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

The d=10 type II string theories, d=11 M-theory and d=12 F-theory have the same symmetry group. It can be viewed either as a subgroup of a conformal group OSp(1|64) or as a contraction of OSp(1|32). The theories are related by different…

High Energy Physics - Theory · Physics 2009-10-31 Eric Bergshoeff , Antoine Van Proeyen

We study the scaling law of the energy spectrum of classical strings on AdS_5 x S^5, in particular, in the SL(2) sector for large S (AdS spin) and fixed J (S^1 \subset S^5 spin). For any finite gap solution, we identify the limit in which…

High Energy Physics - Theory · Physics 2008-11-26 Kazuhiro Sakai , Yuji Satoh

In this paper, following the basic prescriptions of Gauge/String duality, we perform a strong coupling computation on \textit{classical} two point correlation between \textit{local} (single trace) operators in a gauge theory dual to $…

High Energy Physics - Theory · Physics 2017-03-09 Dibakar Roychowdhury

We consider operators in N=4 SYM theory which are dual, at strong coupling, to classical strings rotating in S^5. Three point correlation functions of such operators factorize into a universal contribution coming from the AdS part of the…

High Energy Physics - Theory · Physics 2015-05-30 Romuald A. Janik , Andrzej Wereszczynski

In this introductory review we discuss dynamical tests of the AdS_5 x S^5 string/N=4 super Yang-Mills duality. After a brief introduction to AdS/CFT we argue that semiclassical string energies yield information on the quantum spectrum of…

High Energy Physics - Theory · Physics 2015-06-26 Jan Plefka

We discuss two semiclassical string solutions on AdS_5\times S_5. In the first case, we consider a multiwrapped circular string pulsating in the radial direction of AdS_5, but fixed to a point on the S_5. We compute the energy of this…

High Energy Physics - Theory · Physics 2010-04-05 Joseph A. Minahan

We suggest that some of the remarkable results on stringy dynamics which have been found recently indicate the existence of another dynamical length scale in string theory that, at weak coupling, is much shorter than the string scale. This…

High Energy Physics - Theory · Physics 2007-05-23 Stephen H. Shenker

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…

High Energy Physics - Theory · Physics 2009-11-07 Martin Kruczenski

A few observations concerning topological string theories at the string-tree level are presented: (1) The tree-level, large phase space solution of an arbitrary model is expressed in terms of a variational problem, with an ``action'' equal,…

High Energy Physics - Theory · Physics 2007-05-23 Robert J. Budzynski

We investigate the two- and three-point correlation functions of the dyonic magnon and spike, which correspond to the solitonic string moving in the Poincare AdS and three-dimensional sphere. We show that the coupling between two dyonic…

High Energy Physics - Theory · Physics 2011-08-11 Xiaojian Bai , Bum-Hoon Lee , Chanyong Park

A particular analytic continuation of classical string solutions having a single AdS_5 spin is considered. These solutions describe strings tunnelling from the boundary to the boundary of AdS_5. We use the Legendre transform of the…

High Energy Physics - Theory · Physics 2015-09-22 George Georgiou

Studies of ${\cal N}=4$ super Yang Mills operators with large R-charge have shown that, in the planar limit, the problem of computing their dimensions can be viewed as a certain spin chain. These spin chains have fundamental ``magnon''…

High Energy Physics - Theory · Physics 2009-11-11 Diego M. Hofman , Juan Maldacena

As was recently found in hep-th/0304255, there exists a simple non-supersymmetric classical solution describing a closed string rotating in S^5 and located at the center of AdS_5. It is parametrized by the angular momentum J of the center…

High Energy Physics - Theory · Physics 2009-11-10 S. Frolov , A. A. Tseytlin

We show that solitonic solutions of the classical string action on the AdS_5 x S^5 background that carry charges (spins) of the Cartan subalgebra of the global symmetry group can be classified in terms of periodic solutions of the Neumann…

High Energy Physics - Theory · Physics 2009-09-17 G. Arutyunov , S. Frolov , J. Russo , A. A. Tseytlin

In this paper, we study the semi-classical strings in AdS_4*CP^3 spacetime. We construct various kinds of string solutions, including the point-like, circular, folded and pulsating strings. For the circular and folded strings, we figure out…

High Energy Physics - Theory · Physics 2008-11-26 Bin Chen , Jun-Bao Wu