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Factorized world-sheet scattering in near-flat AdS5×S5
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics. (Theoretical Physics)
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics. (Theoretical Physics)
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics. (Theoretical Physics)
2008 (English)In: Nuclear Physics B, ISSN 0550-3213, E-ISSN 1873-1562, Vol. 792, no 3, 228-256 p.Article in journal (Refereed) Published
Abstract [en]

We show the factorization of the three-particle world-sheet S-matrix of AdS5×S5 superstring theory in the near-flat-space limit at one loop order. This is done by computing various scattering amplitudes from Feynman diagrams in the world-sheet theory. The knowledge of certain highest weight amplitudes allows us to fix all the freedom in the three-particle S-matrix, which we argue to be constrained up to four scalar functions due to the symmetries of the model. We demonstrate that these amplitudes are given by corresponding products of the known two-particle S-matrix elements, from which it follows that the scattering of any three world-sheet excitations factorizes. This provides an explicit and direct check of the quantum integrability of string theory in near-flat AdS5×S5 as it renders evidence for the existence of higher conserved charges. By computing further amplitudes we also obtain an indirect confirmation of the supersymmetries of the near-flat-space model.

Place, publisher, year, edition, pages
2008. Vol. 792, no 3, 228-256 p.
Keyword [en]
AdS/CFT correspondence, S-matrix, Integrability, Factorized scattering
National Category
Physical Sciences
Research subject
Physics; Theoretical Physics
Identifiers
URN: urn:nbn:se:uu:diva-107322DOI: 10.1016/j.nuclphysb.2007.09.018ISI: 000253102400002OAI: oai:DiVA.org:uu-107322DiVA: diva2:228740
Available from: 2009-08-05 Created: 2009-08-05 Last updated: 2017-12-13Bibliographically approved
In thesis
1. On string integrability: A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
Open this publication in new window or tab >>On string integrability: A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
2009 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

One of the main topics in the modern String Theory are the conjectured string/gauge (AdS/CFT) dualities. Proving such conjectures is extremely difficult since the gauge and string theory perturbative regimes do not overlap. In this perspective, the discovery of infinitely many conserved charges, i.e. the integrability, in the planar AdS/CFT has allowed us to reach immense progresses in understanding and confirming the duality.The first part of this thesis is focused on the gravity side of the AdS5/CFT4 duality: we investigate the quantum integrability of the type IIB superstring on AdS5 x S5. In the pure spinor formulation we analyze the operator algebra by computing the operator product expansion of the Maurer-Cartan currents at the leading order in perturbation theory. With the same approach at one loop order, we show the path-independence of the monodromy matrix which implies the charge conservation law, strongly supporting the quantum integrability of the string sigma-model. We also verify that the Lax pair field strength remains well-defined at one-loop order being free from UV divergences. The same string sigma-model is analyzed in the Green-Schwarz formalism in the near-flat-space (NFS) limit. Such a limit remarkably simplifies the string world-sheet action but still leaving interesting physics. We use the NFS truncation to show the factorization of the world-sheet S-matrix at one-loop order. This property defines a two-dimensional field theory as integrable: it is the manifestation of the higher conserved charges. Hence, we have explicitly checked their presence at quantum level. The second part is dedicated to the AdS4/CFT3 duality: in particular the type IIA superstring on AdS4 x CP3. We compute the leading quantum corrections to the string energies for string configurations with a large but yet finite angular momentum on CP3 and show that they match the conjectured all-loop Bethe Ansatz equations.

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 2009. 152 p.
Series
Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1651-6214 ; 660
Keyword
String Theory, AdS-CFT correspondence, Integrable Field theory, Sigma models, S-matrix, Factorized Scattering
National Category
Physical Sciences Other Physics Topics
Research subject
Theoretical Physics
Identifiers
urn:nbn:se:uu:diva-107326 (URN)978-91-554-7575-8 (ISBN)
Public defence
2009-09-21, Polhemsalen, Ångströmlaboratoriet, Lägerhyddsvägen 1, Uppsala, 10:15 (English)
Opponent
Supervisors
Available from: 2009-08-28 Created: 2009-08-05 Last updated: 2009-08-28Bibliographically approved

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Giangreco Marotta Puletti, Valentina

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