Precision spectroscopy of AdS / CFT

By N. Beisert, S. Frolov, M. Staudacher, A. Tseytlin. 2003

299 citations recorded by the source corpus.

We extend recent remarkable progress in the comparison of the dynamical energy spectrum of rotating closed strings in AdS5 ×S 5 and the scaling weights of the corresponding non-near-BPS operators in planar N = 4 supersymmetric gauge theory. On the string side the computations are feasible, using semiclassical methods, if angular momentum quantum numbers are large. This results in a prediction of gauge theory anomalous dimensions to all orders in the ‘t Hooft coupling λ. On the gauge side the direct computation of these dimensions is feasible, using a recently discovered relation to integrable (super) spin chains, provided one considers the lowest order in λ. This oneloop computation then predicts the small-tension limit of the string spectrum for all (i.e. small or large) quantum numbers. In the overlapping window of large quantum numbers and small effective string tension, the string theory and gauge theory results are found to match in a mathematically highly nontrivial fashion. In particular, we compare energies of states with (i) two large angular momenta in S 5 , and (ii) one large angular momentum in AdS5 and S 5 each, and show that the solutions are related by an analytic continuation. Finally, numerical evidence is presented on the gauge side that the agreement persists also at higher (two) loop order.

Subfields: Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/0e065f3cf67cf1d20f211216d2169d71a6e1107a

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In Geometry and Topology

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

In Nuclear and High Energy Physics

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

Citations in the corpus

• Spiky strings and giant magnons on S5 (2006, unknown): “The spin chain picture of the corresponding scalar field theory operators and their anomalous dimensions was found in [6], and the leading-order spin chain states corresponding to the 2-spin rotating strings were found in [7].”
• Planar N=4 Gauge Theory and the Inozemtsev Long Range Spin Chain (2004, methodology): “with the by now standard trick [18, 19, 21] of analytic continuation to (formally) negative J , resulting in a negative filling fraction α = J2/J < 0 (this flips the complex cuts onto the real axis).”
• Semiclassical relativistic strings in S 5 and long coherent operators in = 4 SYM theory (2004, methodology): “The approach of [16, 18] was also generalized (to leading order in λ̃) to the threespin or SU(3) sector [20, 21] (as well as to the SL(2) [22, 11] sector corresponding to one spin in AdS5 and one in the S 5 [21]).”
• Pulsating strings on Ads(5) x S(5) (2004, background): “it (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 corresponding gauge theory [19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29] (see also[30,31])were simplified andextended by theobser”
• Classical/quantum integrability in AdS/CFT (2004, background): “There are no solutions with real cuts, which excludes case (iv), but it is known that such solutions exist for spin s = − 1 2 Heisenberg chain that is also relevant for the AdS/CFT correspondence [33] and describes strings rotating in S(5) and AdS5 simultaneously [16].”
• Spiky strings and single trace operators in gauge theories (2004, background): “This allowed the authors of [10] to make a much more detailed comparison between particular string solutions and certain operators in the gauge theory.”
• Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT (2006, background): “Introducing large nonzero J is important in particular since it makes it easier to identify the corresponding dual gauge theory operators as belonging to the SL(2) sector [8, 9] in gauge theory [10]: tr(DZ) + .”
• The Algebraic Curve of Classical Superstrings on AdS5×S5 (2005, result): “Their conjecture of a quantitative agreement has been confirmed in several cases in [10, 11 ] and many more works since,1 see [13–16] for reviews of the”
• Spinning strings in AdS(5) x S**5: New integrable system relations (2003, methodology): “The resulting system of equations relating energy and two spins turns out to be more involved that in the previously discussed elliptic (sine-Gordon) limit of the Neumann model [7, 8, 9], but we expect that it might be possible to directly match an appropriate “one-loop” limit of this system onto th”
• Yang-Mills duals for semiclassical strings on AdS5 × S5 (2003, background): “More recently, a program has begun comparing the spectrum of semiclassical string configurations [7,8,9,10,11,12, 13,14,15] with anomalous dimensions for a wider class of operators [16,17,18,19,20,21,22].”
• Matching Higher Conserved Charges for Strings and Spins (2003, background): “Letuscontinuethestudy ofthespectrum ofthefollowing singletraceN = 4 gauge theory operatorswhich were shown to be dualto AdS stringsrotating on the ve sphere S5 in two orthogonalplaneswith largeangularm om enta J1,J2 [2,3,5]: TrZ J1 J2 + :::; (2.1) These operatorsare com positesoftwo (Z; )outofthe th”