Spinning strings in AdS5 × S5 and integrable systems
By Jorge G. Russo. 2003
316 citations recorded by the source corpus.
We show that solitonic solutions of the classical string action on the AdS5 × S5 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 integrable system. In the limit of large spins J, the first subleading 1/J coefficient in the expansion of the string energy is expected to be non-renormalized to all orders in the inverse string tension expansion and thus can be directly compared to the 1-loop anomalous dimensions of the corresponding composite operators in super YM theory. We identify a particular string solution whose classical energy exactly reproduces the 1-loop anomalous dimension of a certain set of SYM operators with two independent R charges J1, J2.
Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/cfe72630315a9f281d6456042cbb2682af9a52a3
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Nuclear and High Energy Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Spinning strings in AdS(5) x S**5: New integrable system relations (2003, methodology): “In this case the 2-d sigma model reduces to the Neumann-Rosochatius (NR) [31] integrable system describing a particle on a sphere in the ∑ i(w 2 i r 2 i +v 2 i r −2 i ) potential (in the previous case [8] we had vi = 0).”
- Precision spectroscopy of AdS / CFT (2003, methodology): “Following the suggestion of [9, 10] and extending the earlier breakthrough work of [17, 11, 12 ] we have shown that in the non-BPS sector of two large charges, as in the near-BPS BMN sector with single large charge [3], the duality between the SYM theory and AdS5 × S5 string theory relates perturba”
- Yang-Mills duals for semiclassical strings on AdS5 × S5 (2003, background): “One such comparison was made between a folded string in S5, rotating in one plane and revolving in another [14, 15 ], and a single trace operator composed of two types of scalar fields [18].”
- Classical/quantum integrability in non-compact sector of AdS/CFT (2004, unknown): “solution of this model and related spin systems was extremely useful in comparing anomalous dimensions of local operators in SYM [16, 17, 18] to the energies of classical string solitons in AdS5 × S5 [19, 20, 21, 22]. The energies were found to agree with the scaling dimensions up to two loops in ma”
- Lax pair for strings in Lunin-Maldacena background (2005, methodology): “ strings in the γ-deformed background and twisted strings in AdS5×S5 provides an efficient way of finding multi-spin strings on the γ-deformed background by using the known results for the AdS5 ×S5 case [15, 25]. In particular, many circular string solutions of [15, 25] formally satisfy string equation”
- Finite-size effects from giant magnons (2006, background): “However, the insights coming from gauge theory [11– 14] from semi-classical string quantisation [11,15–20] as well as from the analysis of classical strings [21–26] lead to a conjecture for the form of the dispersion relation and the corresponding S-matrix [27,28].”
- Gauge-string duality for superconformal deformations of N=4 super Yang-Mills theory (2005, background): “This was indeed confirmed explicitly, first on particular examples [9, 10, 11, 12, 13, 14] and then in general [15, 16, 17, 18] (see also [19] for a review and additional references).”
- Complete spectrum of long operators in N=4 SYM at one loop (2005, background): “The classical integrable structure is closely related to the one of gauge theory in the thermodynamic limit of long operators [42–48,40,49] (see also [ 50 ]).”
- Spiky strings and single trace operators in gauge theories (2004, background): “Also, an important role in the comparison is taken by the study of the integrable structures of both sides of the correspondence [ 15 , 16].”
- The AdS 5 ×S 5 superstring worldsheet S matrix and crossing symmetry (2006, background): “One of the most fascinating discoveries in recent years was the unravelling of integrable structures in planar N = 4 SYM [1, 2, 3, 4] and in superstring theory on AdS5 ×S5 [5, 6 , 7, 8, 9, 10, 11].”
- SPINNING STRINGS AND AdS/CFT DUALITY (2003, methodology): “In addition to the “homogeneous” circular two-spin solutions discussed in section 6 there are also different circular two-spin solutions of the Neumann system (4.17) with vi = 0 that generalize the “round circle” J1 = J2 solution of [14] to the case of J1 6 J2 [ 18 ].”