Quantizing string theory in AdS5×S5: beyond the pp-wave

By C. Callan, Jr., Hok Kong Lee, Tristan McLoughlin, J. Schwarz, Ian Swanson, Xinkai Wu. 2003

259 citations recorded by the source corpus.

In a certain kinematic limit, where the effects of spacetime curvature (and other background fields) greatly simplify, the light-cone gauge world-sheet action for a type IIB superstring on AdS5 × S 5 reduces to that of a free field theory. It has been conjectured by Berenstein, Maldacena, and Nastase that the energy spectrum of this string theory matches the dimensions of operators in the appropriately defined large R-charge large-Nc sector of N = 4 supersymmetric Yang–Mills theory in four dimensions. This holographic equivalence is thought to be exact, independent of any simplifying kinematic limits. As a step toward verifying this larger conjecture, we have computed the complete set of first curvature corrections to the spectrum of light-cone gauge string theory that arises in the expansion of AdS5 × S 5 about the plane-wave limit. The resulting spectrum has the complete dependence on λ = g 2 Y M Nc; corresponding results in the gauge theory are known only to second order in λ. We find precise agreement to this order, including the N = 4 extended supermultiplet structure. In the process, we demonstrate that the complicated schemes put forward in recent years for defining the Green–Schwarz superstring action in background Ramond-Ramond fields can be reduced to a practical (and correct) method for quantizing the string.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/afd79be313aa3ca3bb2eee39767519e6f863d0ed

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

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

In Nuclear and High Energy Physics

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

Citations in the corpus

• The su(2|3) dynamic spin chain (2003, background): “• Our result does not agree with a recent result of near plane wave string theory [19].”
• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability (2004, background): “At three-loops it would be exciting to see if problems of the kind encountered for the near plane-wave background [88] or for spinning strings [87] also exist for non-planar corrections.”
• Algebraic Curve for the SO(6) Sector of AdS/CFT (2004, background): “It reproduces the near BMN results of [24] and, even more remarkably, a generic 4 √ λ behavior at large coupling in agreement predicted in [44].”
• The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations (2006, methodology): “Here the first 1/J corrections to the spectrum have been established in a series of papers by Callan et al in [19].”
• Wrapping interactions and a new source of corrections to the spin-chain/string duality (2005, background): “Non-trivial comparisons of gauge theory anomalous dimensions and string state energies can now be carried out in three different regimes: The BMN limit [13], the near BMN limit [14] and the spinning string limit [15].”
• 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 subject.”
• The su(2|2) dynamic S-matrix (2005, background): “thecorrespondence integrability hasbeen established fortheclassical theoryin [17] and evidence for quantum integrability exists [18]. The results for spinning strings [19] and near plane wave strings [20] have lead to new insights into the correspondence, see the reviews [5–7,21] for details and fur”
• The factorized S-matrix of CFT/AdS (2004, methodology): “e capable of carrying arbitrary momenta. Now, since the level matching condition in string theory enforces the total momentum conservation of all excitations, the solution of the two-impurity problem [28] does not contain enough information as the absolute values of the two associated momenta are ne”
• Classical/quantum integrability in AdS/CFT (2004, background): “The two-loop agreement was also observed (for BMN states) at the level of 1/L corrections [38, 81], which are described by quantum corrections in the sigma-model.”