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Open string integrability and AdS/CFT

McLoughlin, Tristan and Swanson, Ian (2005) Open string integrability and AdS/CFT. Nuclear Physics B, 723 (1-2). pp. 132-162. ISSN 0550-3213. doi:10.1016/j.nuclphysb.2005.06.014.

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We present a set of long-range Bethe ansatz equations for open quantum strings on AdS5 × S5 and demonstrate that they diagonalize bosonic su(2) and sl(2) sectors of the theory in the near-pp-wave limit. Results are compared with energy spectra obtained by direct quantization of the open string theory, and we find agreement in this limit to all orders in the ’t Hooft coupling [lambda] = g2Y MNc. We also propose long-range Bethe ans¨atze for su(2) and sl(2) sectors of the dual N = 2 defect conformal field theory. In accordance with previous investigations, we find exact agreement between string theory and gauge theory at one- and two-loop order in [lambda], but a general disagreement at higher loops. It has been conjectured that the sudden mismatch at three-loop order may be due to long-range interaction terms that are lost in the weak coupling expansion of the gauge theory dilatation operator. These terms are thought to include interactions that wrap around gauge-traced operators, or around the closed-string worldsheet. We comment on the role these interactions play in both open and closed sectors of string states and operators near the pp-wave/BMN limit of the AdS/CFT correspondence.

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Additional Information:Received 9 May 2005; accepted 10 June 2005. Available online 5 July 2005. This article is registered under preprint number hep-th/0504203. arXiv:hep-th/0504203 v3 16 May 2005. CALT-68-2546 We would like to thank John Schwarz and Curt Callan for their ongoing support and encouragement. We also thank Niklas Beisert, Andrei Mikhailov and Matthias Staudacher for explanations and useful discussions. This work was supported by US Department of Energy grant DE-FG03-92-ER40701.
Issue or Number:1-2
Record Number:CaltechAUTHORS:MCLnpb05
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:872
Deposited By: Archive Administrator
Deposited On:31 Oct 2005
Last Modified:08 Nov 2021 19:05

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