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Quantum String Test of Nonconformal Holography
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy. Nordita, Stockholm University and KTH Royal Institute of Technology, Stockholm, Sweden.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2017 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, Vol. 04, article id 95Article in journal (Refereed) Published
Abstract [en]

We compute Lüscher corrections to the effective string tension in the PilchWarner background, holographically dual to N" style="position: relative;" tabindex="0" id="MathJax-Element-1-Frame" class="MathJax">N = 2 supersymmetric Yang-Mills theory. The same quantity can be calculated directly from field theory by solving the localization matrix model at large-N . We find complete agreement between the field-theory predictions and explicit string-theory calculation at strong coupling.

Place, publisher, year, edition, pages
2017. Vol. 04, article id 95
National Category
Subatomic Physics
Identifiers
URN: urn:nbn:se:uu:diva-321871DOI: 10.1007/JHEP04(2017)095ISI: 000402858600004OAI: oai:DiVA.org:uu-321871DiVA, id: diva2:1095006
Available from: 2017-05-11 Created: 2017-05-11 Last updated: 2018-04-23Bibliographically approved
In thesis
1. Non-conformal gauge/string duality: A rigorous case study
Open this publication in new window or tab >>Non-conformal gauge/string duality: A rigorous case study
2017 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

The gauge/string duality, a.k.a. the holographic principle is a profound assertion that emerged from string theory. It relates strongly-coupled gauge theories to weakly coupled string theories living in a higher-dimensional curved geometry. Nevertheless, it is a conjecture, and only a few instances of its more concrete form, the AdS/CFT correspondence, are well-understood. The most well-studied example is the duality between N=4 SYM, which is a CFT, and type IIB string theory in AdS5xS5 background. Generalization to less symmetric cases is a must, and the next logical step is to add a mass scale to N=4 SYM, therefore breaking its conformal symmetry and leading to N=2* SYM, the theory we study in this thesis. It is supersymmetric enough to employ the powerful localization method that reduces its partition function to a matrix model. We will see that the mass scale causes non-trivial phase structures in its vacuum configuration, visible in the holographic regime. We will probe them using Wilson loops in different representations of the gauge group. On the other hand, the dual supergravity background was derived by Pilch-Warner, making N=2* theory an explicitly testable non-conformal holographic case, which is a rare example. We will prove that the duality works for the dual observables (string action, D-branes) we managed to compute, even at a quantum-level.

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 2017. p. 60
Series
Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1651-6214 ; 1529
Keywords
AdS/CFT correspondence, holographic principle, supersymmetric localization, Wilson Loops
National Category
Subatomic Physics
Research subject
Theoretical Physics
Identifiers
urn:nbn:se:uu:diva-321881 (URN)978-91-554-9942-6 (ISBN)
Public defence
2017-09-04, room 132:028, Nordita East Building, Albanova campus, Stockholm, 13:30 (English)
Opponent
Supervisors
Funder
EU, FP7, Seventh Framework Programme
Available from: 2017-06-12 Created: 2017-05-14 Last updated: 2017-08-09
2. Holographic Wilson Loops: Quantum String Corrections
Open this publication in new window or tab >>Holographic Wilson Loops: Quantum String Corrections
2018 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

The gauge-string duality has been one of the most exciting areas in theoretical physics as it connects strongly coupled field theories with weakly interacting strings. The present thesis concerns the study of Wilson loops in this correspondence. Wilson loops are observables arising in many physical situations like the propagation of particles in gauge fields, the problem of confinement, etc. In the gauge-string correspondence these observables have a known physical description at both sides, making them ideal probes for the duality. Remarkable progress from localization has lead to predictions at all orders in the coupling for certain Wilson loop configurations in supersymmetric field theories. Being the string theory weakly interacting, in principle we can use perturbation theory to calculate the corresponding quantities. However, current string calculations have only been successful at leading order and in rare cases, next to leading order. At next to leading order the difficulties encountered include divergences, ambiguous boundary conditions, mismatch with field theory results, etc. The research presented in this thesis aims at a better understanding of these issues. The first calculation presented here concerns the Wilson line in N=2*, a massive deformation of N=4 SYM. The string theory dual to this configuration is a straight line in the type IIB Pilch-Warner background. Using techniques for functional determinants, we computed the 1-loop string partition function obtaining perfect matching with localization. This constitutes a first test of the correspondence at the quantum level for nonconformal theories. The second calculation in this thesis corresponds to the ratio of the latitude and circular Wilson loops in AdS5xS5. An IR anomaly related to the singular nature of the conformal gauge is shown to solve previously found discrepancies with field theory results.

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 2018. p. 67
Series
Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1651-6214 ; 1675
Keywords
Gauge-string correspondence, AdS/CFT, Wilson loops, String theory
National Category
Other Physics Topics
Research subject
Theoretical Physics
Identifiers
urn:nbn:se:uu:diva-349210 (URN)978-91-513-0350-5 (ISBN)
Public defence
2018-06-13, Room FB53, AlbaNova Universitetscentrum, Roslagstullsbacken 21, Stockholm, 10:30 (English)
Opponent
Supervisors
Available from: 2018-05-23 Created: 2018-04-23 Last updated: 2018-05-23

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