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Finite size giant magnons in the SU(2) × SU(2) sector of AdS4 × CP3
Institute of Physics, Jagellonian University.
Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Physics and Astronomy, Division of Theoretical Physics.
2008 (English)In: Journal of High Energy Physics (JHEP), ISSN 1029-8479, Vol. 12, 073- p.Article in journal (Refereed) Published
Abstract [en]

We use the algebraic curve and Lüscher's μ-term to calculate the leading order finite size corrections to the dispersion relation of giant magnons in the SU(2) × SU(2) sector of AdS4 × CP3. We consider a single magnon as well as one magnon in each SU(2). In addition the algebraic curve computation is generalized to give the leading order correction for an arbitrary multi-magnon state in the SU(2) × SU(2) sector.

Place, publisher, year, edition, pages
2008. Vol. 12, 073- p.
Research subject
Theoretical Physics
URN: urn:nbn:se:uu:diva-87409DOI: 10.1088/1126-6708/2008/12/073OAI: oai:DiVA.org:uu-87409DiVA: diva2:128471
Available from: 2008-12-17 Created: 2008-12-17 Last updated: 2011-07-01Bibliographically approved
In thesis
1. Spins and Giants: Fundamental Excitations in Weakly and  Strongly Coupled ABJM Theory
Open this publication in new window or tab >>Spins and Giants: Fundamental Excitations in Weakly and  Strongly Coupled ABJM Theory
2011 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

The discovery of integrability on both sides of the duality between planar N=4 super Yang-Mills theory and free type IIB string theory in AdS5 × S5 has lead to great progress in our understanding of the AdS/CFT correspondence. Similar integrable structures also appear in the more recent three-dimensional superconformal N=6 Chern-Simons-matter theory constructed by Aharony, Bergman, Jafferis and Maldacena (ABJM), as well as in its gravity dual, type IIA string theory on AdS4 × CP3. However, new interesting complications arise in the AdS4/CFT3 duality. In the conjectured all-loop Bethe equations by Gromov and Vieira the dispersion relation of the magnons has a non-trivial coupling dependence which is parametrized by a function that is only known to the leading order at weak and strong coupling. In the first part of this thesis I discuss our calculations of the next-to-leading correction to this function at weak coupling. We compute this function from four-loop Feynman diagrams in the SU(2) × SU(2) sector of the ABJM model. As a consistency check we have performed the calculation both in a component formalism and using superspace techniques. At strong coupling the fundamental excitations of the integrable model are the giant magnons. The topic of the second part of this thesis is the spectrum of these giant magnons in CP3. Furthermore, I discuss our analyses of the finite-size corrections beyond the asymptotic Bethe ansatz. At weak coupling we have computed the leading four-loop wrapping diagrams in the ABJM model. At the strong coupling side of the duality I discuss our results for the exponentially suppressed finite-size corrections to the energy of giant magnons.

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 2011. 104 p.
Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1651-6214 ; 827
String theory, AdS/CFT correspondence, Integrable field theory
National Category
Other Physics Topics
Research subject
Theoretical Physics
urn:nbn:se:uu:diva-151609 (URN)978-91-554-8082-0 (ISBN)
Public defence
2011-06-01, Å80101, Ångströmlaboratoriet, Lägerhyddsvägen 1, Uppsala, 13:15 (English)
Available from: 2011-05-11 Created: 2011-04-14 Last updated: 2011-07-01Bibliographically approved

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