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Yang-Mills duals for semiclassical strings on AdS5 × S5
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Theoretical Physics.
2003 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, Vol. 0311, 063- p.Article in journal (Refereed) Published
Abstract [en]

We consider a semiclassical multiwrapped circular string pulsating on S5, whose center of mass has angular momentum J on an S3 subspace. Using the AdS/CFT correspondence we argue that the one-loop anomalous dimension of the dual operator is a simple rational function of J/L, where J is the R-charge and L is the bare dimension of the operator. We then reproduce this result directly from a super Yang-Mills computation, where we make use of the integrability of the one-loop system to set up an integral equation that we solve. We then verify the results of Frolov and Tseytlin for circular rotating strings with R-charge assignment (J',J',J). In this case we solve for an integral equation found in the O(−1) matrix model when J'<J and the O(+1) matrix model if J'>J. The latter region starts at J' = L/2 and continues down, but an apparent critical point is reached at J' = 4J. We argue that the critical point is just an artifact of the Bethe ansatz and that the conserved charges of the underlying integrable model are analytic for all J' and that the results from the O(−1) model continue onto the results of the O(+1) model.

Place, publisher, year, edition, pages
2003. Vol. 0311, 063- p.
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:uu:diva-93359DOI: 10.1088/1126-6708/2003/11/063OAI: oai:DiVA.org:uu-93359DiVA: diva2:166814
Available from: 2005-09-02 Created: 2005-09-02 Last updated: 2017-12-14Bibliographically approved
In thesis
1. Dualities, Symmetries and Unbroken Phases in String Theory: Probing the Composite Nature of the String
Open this publication in new window or tab >>Dualities, Symmetries and Unbroken Phases in String Theory: Probing the Composite Nature of the String
2005 (English)Doctoral thesis, comprehensive summary (Other academic)
Alternative title[sv]
Dualiteter, Symmetrier och Obrutna Faser i Strängteori : En Utforskning av Strängens Sammansatta Natur
Abstract [en]

The thesis treats aspects of string/M-theory in anti-de Sitter spacetimes and their supersymmetric completions. By applying the AdS/CFT correspondence, as well as models of spin chains and singletons, we try to attain a better understanding of the underlying symmetries and the unbroken phases of string/M-theory. Tensionless string/M-theory in anti-de Sitter spacetime is argued to imply a higher spin gauge symmetry enhancement and to be described by gauged sigma models of multi-singletons as well as by closed singleton strings. Vasiliev's weakly projected equations of symmetric massless higher spin gauge fields in the vector oscillator formulation is shown to follow from a deformation of the singleton model. Various four dimensional minimal as well as non-minimal supersymmetric higher spin gauge theories in the spinor formulation are examined. The minimal higher spin gauge theory based on the symmetry algebra hs(1|4) is elaborated on in an N=1 superspace, illustrating the remarkable fact that the choice of base manifold is not fixed in unfolded dynamics. The importance of the representations saturating the unitarity bounds in anti-de Sitter spacetime is stressed throughout the thesis, with particular emphasis on the singleton and the massless representations. Singletons, and hence massless states, are shown to appear as bound states on the string or p-brane and are localized at cusps. Furthermore, we examine semiclassical string solutions in Type IIB String Theory in AdS(5) x S(5) and their boundary duals in N=4 Super Yang-Mills Theory in d=4 which are constituted out of thermodynamic composite operators. By using integrable spin chain techniques and Bäcklund transformations in the field theory and in the string theory, respectively, the one-loop anomalous dimensions as well as the tower of conserved charges of the composite operators are shown to be in agreement with the energies and the tower of conserved charges associated with the dual string states.

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 2005. 98 p.
Series
Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1651-6214 ; 61
Keyword
Physics, Theoretical Physics, String Theory, M-Theory, Higher Spin Gauge Theory, Super Yang-Mills Theory, Anti-de Sitter Spacetime, Singletons, Massless Higher Spin Gauge Fields, AdS/CFT Correspondence, Spin Chains, Semiclassical Strings, Tensionless Limits, Conformal Symmetry, Supersymmetry, Higher Spin Gauge Symmetry, Integrability, Fysik
National Category
Physical Sciences
Identifiers
urn:nbn:se:uu:diva-5902 (URN)91-554-6274-X (ISBN)
Public defence
2005-09-23, Room 111, Polacksbacken, House 1, Lägerhyddsvägen 1, Uppsala, 09:00 (English)
Opponent
Supervisors
Available from: 2005-09-02 Created: 2005-09-02 Last updated: 2010-05-18Bibliographically approved

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Minahan, Joseph A.Zarembo, Konstantin

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