A semi-classical limit of the gauge/string correspondence

By S. Gubser, I. Klebanov, A. Polyakov. 2002

1,214 citations recorded by the source corpus.

Abstract A world-sheet sigma model approach is applied to string theories dual to four-dimensional gauge theories, and semi-classical soliton solutions representing highly excited string states are identified which correspond to gauge theory operators with relatively small anomalous dimensions. The simplest class of such states are strings on the leading Regge trajectory, with large spin in AdS 5 . These correspond to operators with many covariant derivatives, whose anomalous dimension grows logarithmically with the space–time spin. In the gauge theory, the logarithmic scaling violations are similar to those found in perturbation theory. Other examples of highly excited string states are also considered.

Subfields: Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b83d30f217245bd22c6d6f63a62222f5e32e9951

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In Geometry and Topology

1. S. Frolov
2. G. Arutyunov
3. A. Tseytlin
4. N. Beisert
5. R. Roiban
6. M. Staudacher
7. Romuald A. Janik
8. K. Zarembo

In Nuclear and High Energy Physics

1. S. Frolov
2. A. Tseytlin
3. N. Beisert
4. G. Arutyunov
5. R. Roiban
6. M. Staudacher
7. L. Alday
8. J. Maldacena

Citations in the corpus

• Pulsating strings on Ads(5) x S(5) (2004, background): “tions are eigenstates to the scaling operator. Semiclassical string configurations which usually go beyond the BMN limit (e.g. by taking both J1 and J2 to be large) have since been studied extensively [5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17], and are reviewed in [18]. Studies of the correspond”
• Meson Spectroscopy in AdS/CFT with Flavour (2003, methodology): “To obtain the spectrum of mesons with large spin J we considered semiclassical, rotating open strings attached to the D7-brane, following the approach of [11] for closed strings.”
• Small deformations of supersymmetric Wilson loops and open spin-chains (2006, background): “Classical solutions corresponding to operators carrying large charges were found even before, most notably the BMN states rotating on S(5) [8] and the strings spinning in AdS5 [9].”
• Comments on gluon scattering amplitudes via AdS/CFT (2007, background): “Note that f(λ) is a known function [15] which behaves as [16,17], see also [18],”
• Massless higher spins and holography (2002, background): “The minimal energy configurations have semi-classical energy E = s for all s and the geometry of infinitely stretched strings with energy and spin density concentrated at the endpoints.”
• Classical/quantum integrability in AdS/CFT (2004, background): “The precise AdS dual of the chiral primary is a point-like string orbiting a geodesic of S(5) with angular momentum L, large enough for the classical approximation to be accurate [11].”
• The su(2|3) dynamic spin chain (2003, result): “String theory results [15], largely due to Frolov and Tseytlin, (see also [16]) were shown to agree perfectly with gauge theory in a very intricate way [13,14], and thus provide novel, compelling evidence in favour of the AdS/CFT correspondence.”
• When does the gluon reggeize? (2013, background): “ by considering parametrically large values of the quantum number ˛1=4 (Mellin conjugate to the dipole size), where the graviton should smoothly turn into the classical string congurations of ref. [138]. An outstanding problem is to relate the (properly supersymmetrized) SL(2,C) integrable spin chai”
• The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations (2006, methodology): “A wealth of islands is obtained by applying the semiclassical approach [20], and looking at classical spinning string solutions where several spins on AdS5 ×S5 and angular momenta on the S5 become large [21].”
• Stringing Spins and Spinning Strings (2003, neutral): “∗also at ITEP, Moscow, Russia.”
• The dilatation operator of conformal N=4 super-Yang–Mills theory (2003, background): “The latter would be interesting in order to study the high spin limit of [66], see also [67].”
• Supersymmetric Wilson loops on S**3. (2007, background): “One example is the relation between the cusp anomaly of a light-like Wilson line and the anomalous dimension of large spin twist-2 operators [37–46].”