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Non-conformal gauge/string duality: A rigorous case study
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics. Nordita.
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 [en]
AdS/CFT correspondence, holographic principle, supersymmetric localization, Wilson Loops
National Category
Subatomic Physics
Research subject
Theoretical Physics
Identifiers
URN: urn:nbn:se:uu:diva-321881ISBN: 978-91-554-9942-6 (print)OAI: oai:DiVA.org:uu-321881DiVA: diva2:1095430
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
List of papers
1. Quantum String Test of Nonconformal Holography
Open this publication in new window or tab >>Quantum String Test of Nonconformal Holography
2017 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, Vol. 04, 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.

National Category
Subatomic Physics
Identifiers
urn:nbn:se:uu:diva-321871 (URN)10.1007/JHEP04(2017)095 (DOI)000402858600004 ()
Available from: 2017-05-11 Created: 2017-05-11 Last updated: 2017-08-03Bibliographically approved
2. Symmetric Wilson Loops beyond leading order
Open this publication in new window or tab >>Symmetric Wilson Loops beyond leading order
2016 (English)In: SciPost Physics, ISSN 2542-4653, Vol. 1, no 2, 013Article in journal (Refereed) Published
Abstract [en]

We study the circular Wilson loop in the symmetric representation of U(N) in N=4 super-Yang-Mills (SYM). In the large N limit, we computed the exponentially-suppressed corrections for strong coupling, which suggests non-perturbative physics in the dual holographic theory. We also computed the next-to-leading order term in 1/N, and the result matches with the exact result from the k-fundamental representation.

National Category
Other Physics Topics
Identifiers
urn:nbn:se:uu:diva-321872 (URN)10.21468/SciPostPhys.1.2.013 (DOI)
Available from: 2017-05-11 Created: 2017-05-11 Last updated: 2017-05-14Bibliographically approved
3. Holographic Wilson loops in symmetric representations in N=2*super-Yang-Mills theory
Open this publication in new window or tab >>Holographic Wilson loops in symmetric representations in N=2*super-Yang-Mills theory
2016 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 2, 109Article in journal (Refereed) Published
Abstract [en]

We construct the D3-brane solution in the holographic dual of the N = 2* theory that describes Wilson lines in symmetric representations of the gauge group. The results perfectly agree with the direct field-theory predictions based on localization.

Keyword
Gauge-gravity correspondence, D-branes, AdS-CFT Correspondence
National Category
Other Physics Topics
Identifiers
urn:nbn:se:uu:diva-282320 (URN)10.1007/JHEP02(2016)109 (DOI)000370849500001 ()
Funder
EU, FP7, Seventh Framework Programme, 317089EU, European Research Council, 341222Swedish Research Council, 2013-4329
Available from: 2016-04-05 Created: 2016-04-05 Last updated: 2017-05-14Bibliographically approved
4. Higher rank Wilson loops in N=2*super-Yang-Mills theory
Open this publication in new window or tab >>Higher rank Wilson loops in N=2*super-Yang-Mills theory
2015 (English)In: Journal of High Energy Physics (JHEP), ISSN 1029-8479, E-ISSN 1126-6708, 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*.

Keyword
Matrix Models, Wilson, 't Hooft and Polyakov loops, AdS-CFT Correspondence, Strong Coupling Expansion
National Category
Physical Sciences
Identifiers
urn:nbn:se:uu:diva-252000 (URN)10.1007/JHEP03(2015)147 (DOI)000351751200007 ()
Funder
Swedish Research Council, 2013-4329
Available from: 2015-05-08 Created: 2015-04-28 Last updated: 2017-05-14Bibliographically approved
5. N=2*super-Yang-Mills theory at strong coupling
Open this publication in new window or tab >>N=2*super-Yang-Mills theory at strong coupling
2014 (English)In: Journal of High Energy Physics (JHEP), ISSN 1029-8479, E-ISSN 1126-6708, no 11, 057- p.Article in journal (Refereed) Published
Abstract [en]

The planar N = 2* Super-Yang-Mills (SYM) theory is solved at large 't Hooft coupling using localization on S-4. The solution permits detailed investigation of the resonance phenomena responsible for quantum phase transitions in infinite volume, and leads to quantitative predictions for the semiclassical string dual of the N = 2* theory.

Keyword
Matrix Models, Gauge-gravity correspondence, AdS-CFT Correspondence, 1/N Expansion
National Category
Physical Sciences
Identifiers
urn:nbn:se:uu:diva-245554 (URN)10.1007/JHEP11(2014)057 (DOI)000347908000004 ()
Available from: 2015-02-27 Created: 2015-02-26 Last updated: 2017-05-14Bibliographically approved

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