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Factorized world-sheet scattering in near-flat AdS5×S5
Uppsala universitet, Teknisk-naturvetenskapliga vetenskapsområdet, Fysiska sektionen, Institutionen för fysik och astronomi, Teoretisk fysik. (Theoretical Physics)
Uppsala universitet, Teknisk-naturvetenskapliga vetenskapsområdet, Fysiska sektionen, Institutionen för teoretisk fysik. (Theoretical Physics)
Uppsala universitet, Teknisk-naturvetenskapliga vetenskapsområdet, Fysiska sektionen, Institutionen för teoretisk fysik. (Theoretical Physics)
2008 (engelsk)Inngår i: Nuclear Physics B, ISSN 0550-3213, E-ISSN 1873-1562, Vol. 792, nr 3, s. 228-256Artikkel i tidsskrift (Fagfellevurdert) 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.

sted, utgiver, år, opplag, sider
2008. Vol. 792, nr 3, s. 228-256
Emneord [en]
AdS/CFT correspondence, S-matrix, Integrability, Factorized scattering
HSV kategori
Forskningsprogram
Fysik; Teoretisk fysik
Identifikatorer
URN: urn:nbn:se:uu:diva-107322DOI: 10.1016/j.nuclphysb.2007.09.018ISI: 000253102400002OAI: oai:DiVA.org:uu-107322DiVA, id: diva2:228740
Tilgjengelig fra: 2009-08-05 Laget: 2009-08-05 Sist oppdatert: 2017-12-13bibliografisk kontrollert
Inngår i avhandling
1. On string integrability: A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
Åpne denne publikasjonen i ny fane eller vindu >>On string integrability: A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
2009 (engelsk)Doktoravhandling, med artikler (Annet vitenskapelig)
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.

sted, utgiver, år, opplag, sider
Uppsala: Acta Universitatis Upsaliensis, 2009. s. 152
Serie
Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1651-6214 ; 660
Emneord
String Theory, AdS-CFT correspondence, Integrable Field theory, Sigma models, S-matrix, Factorized Scattering
HSV kategori
Forskningsprogram
teoretisk fysik
Identifikatorer
urn:nbn:se:uu:diva-107326 (URN)978-91-554-7575-8 (ISBN)
Disputas
2009-09-21, Polhemsalen, Ångströmlaboratoriet, Lägerhyddsvägen 1, Uppsala, 10:15 (engelsk)
Opponent
Veileder
Tilgjengelig fra: 2009-08-28 Laget: 2009-08-05 Sist oppdatert: 2009-08-28bibliografisk kontrollert

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