Rotating string solutions: AdS/CFT duality in non-supersymmetric sectors

By S. Frolov, A. Tseytlin. 2003

289 citations recorded by the source corpus.

Abstract We find the minimal energy solution describing a folded closed string located at the center of AdS5 and rotating simultaneously in two planes in S5 with two arbitrary SO(6) angular momenta J1 and J2. In the case when J1=J2=J′ we observe the precise agreement between the leading coefficient in the large J′ expansion of the energy of this solution and the minimal eigen-value of the 1-loop anomalous dimension matrix of the corresponding [J′,0,J′] SYM operators obtained by Beisert, Minahan, Staudacher and Zarembo in hep-th/0306139 . We find also perfect agreement between string and SYM results in cases of states with unequal spins dual to [J2,J1−J2,J2] operators. This represents a remarkable quantitative test of the AdS/CFT duality in a non-supersymmetric (and non-near-BPS) sector.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/e71736ba148c26ae89d367f45d7036716b6e1f15

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Citations in the corpus

Holographic three-point functions of semiclassical states (2010, background): “The starting point is the string that rotates on the big circle of S 5 and spins around its centre of mass [ 41 ], which”
Uniform Light-Cone Gauge for Strings in AdS5 x S5: Solving su(1|1) Sector (2005, background): “Perhaps one of the main outcomes of string integrability is that the string sigmamodel admits a rich variety of explicit soliton solutions [9, 10].”
Stringing Spins and Spinning Strings (2003, unknown): “eAdded: Afterthis paperwas submitted tothe arXivwe were informed that Frolov and Tseytlin were able to ﬁnd classical string conﬁgurations which are dual to the double contour solution presented here. [56]. Acknowledgments We are grateful to S. Frolov and A. Tseytlin for correspondence. N.B. and M.S.”
Spinning strings in AdS5 × S5 and integrable systems (2003, methodology): “We refer to [4] for a more detailed discussion.”
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”
Spiky strings and single trace operators in gauge theories (2004, methodology): “This result followed from a detailed analysis of the dilatation operator which was discussed in [12, 13], rotating string solutions [14] and previous calculations [11].”
Spiky strings and giant magnons on S5 (2006, unknown): “This was done to interpret, in the field theory, the string solutions found in [5, 12].”
Small deformations of supersymmetric Wilson loops and open spin-chains (2006, background): “40) and are essentially identical to the folded-string expressions [72, 60](6).”
On one-loop correction to energy of spinning strings in S**5 (2004, background): “In general, for a classical rotating closed string solution in S5 its energy has a regular expansion [4, 5, 6 , 7, 8] E0 = J + c1 λ J + c2 λ”
The Complete One-Loop Dilatation Operator of N=4 Super Yang-Mills Theory (2003, background): “Astonishingly, corresponding string states of the same energy could be found using semiclassical methods [27].”
Classical/quantum integrability in AdS/CFT (2004, background): “They then showed that not only did the Inozemtsev chain reproduce the two and three-loop dilatation operators in [38, 39, 40], but it also matches the two-loop predictions for the string solitons in [20, 22].”
Green-Schwarz Strings in TsT-transformed backgrounds (2005, methodology): “Various aspects of the deformed gauge and string theories, and the conjectured duality have been studied in [7, 8] by using the ideas and methods developed to test the duality between the undeformed models [9, 10].”