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Finite-size corrections in the SU(2)×SU(2) sector of type IIA string theory on AdS4 x CP3
Dipartimento di Fisica, Università di Perugia, I.N.F.N. Sezione di Perugia, Italy.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
Dipartimento di Fisica, Università di Perugia, I.N.F.N. Sezione di Perugia, Italy.
The Niels Bohr Institute, Copenhagen, Denmark.
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2009 (English)In: Nuclear Physics B, ISSN 0550-3213, E-ISSN 1873-1562, Vol. 810, no 1-2, 150-173 p.Article in journal (Refereed) Published
Abstract [en]

We consider finite-size corrections in the SU(2)×SU(2) sector of type IIA string theory on , which is the string dual of the recently constructed  superconformal Chern–Simons theory of Aharony, Bergman, Jafferis and Maldacena (ABJM theory). The string states we consider are in the  subspace of  with an angular momentum J on  being large. We compute the finite-size corrections using two different methods, one is to consider curvature corrections to the Penrose limit giving an expansion in1/J, the other by considering a low energy expansion in λ=λ/J2 of the string theory sigma-model, λ being the 't Hooft coupling of the dual ABJM theory. For both methods there are interesting issues to deal with. In the near-pp-wave method there is a  interaction term for which we use zeta-function regularization in order to compute the 1/J correction to the energy. For the low energy sigma-model expansion we have to take into account a non-trivial coupling to a non-dynamical transverse direction. We find agreement between the two methods. At order λ and , for small λ, our results are analogous to the ones for the SU(2) sector in type IIB string theory on AdS5×S5. Instead at order  there are interactions between the two two-spheres. We compare our results with the recently proposed all-loop Bethe ansatz of Gromov and Vieira and find agreement.

Place, publisher, year, edition, pages
2009. Vol. 810, no 1-2, 150-173 p.
Keyword [en]
string theory, integrability
National Category
Physical Sciences
Research subject
Theoretical Physics
Identifiers
URN: urn:nbn:se:uu:diva-107323DOI: 10.1016/j.nuclphysb.2008.10.020ISI: 000262824200007OAI: oai:DiVA.org:uu-107323DiVA: diva2:228741
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
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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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