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Higher rank Wilson loops in N=2*super-Yang-Mills theory
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2015 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 3, 147Article in journal (Refereed) Published
Abstract [en]

The N = 2* Super-Yang-Mills theory (SYM*) undergoes an infinite sequence of large-N quantum phase transitions. We compute expectation values of Wilson loops in k-symmetric and antisymmetric representations of the SU(N) gauge group in this theory and show that the same phenomenon that causes the phase transitions at finite coupling leads to a non-analytic dependence of Wilson loops on k/N when the coupling is strictly infinite, thus making the higher-representation Wilson loops ideal holographic probes of the non-trivial phase structure of SYM*.

Place, publisher, year, edition, pages
2015. no 3, 147
Keyword [en]
Matrix Models, Wilson, 't Hooft and Polyakov loops, AdS-CFT Correspondence, Strong Coupling Expansion
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:uu:diva-252000DOI: 10.1007/JHEP03(2015)147ISI: 000351751200007OAI: oai:DiVA.org:uu-252000DiVA: diva2:810768
Funder
Swedish Research Council, 2013-4329
Available from: 2015-05-08 Created: 2015-04-28 Last updated: 2017-12-04Bibliographically 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. 60 p.
Series
Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1651-6214 ; 1529
Keyword
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

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Zarembo, Konstantin

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