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Deformations of the circular Wilson loop and spectral (in)dependence
Stockholm University, Nordic Institute for Theoretical Physics (Nordita).
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Number of Authors: 52019 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 1, article id 076Article in journal (Refereed) Published
Abstract [en]

In this paper we study the expectation value of deformations of the circular Wilson loop in N=4 super Yang-Mills theory. The leading order deformation, known as the Bremsstrahlung function, can be obtained exactly from supersymmetric localization, so our focus is on deformations at higher orders. We find simple expressions for the expectation values for generic deformations at the quartic order at one-loop at weak coupling and at leading order at strong coupling. We also present a very simple algorithm (not requiring integration) to evaluate the two-loop result. We find that an exact symmetry of the strong coupling sigma-model, known as the spectral-parameter independence, is an approximate symmetry at weak coupling, modifying the expectation value starting only at the sextic order in the deformation. Furthermore, we find very simple patterns for how the spectral parameter can appear in the weak coupling calculation, suggesting all-order structures.

Place, publisher, year, edition, pages
2019. no 1, article id 076
Keywords [en]
Wilson, 't Hooft and Polyakov loops, AdS-CFT Correspondence, Conformal and W Symmetry, Integrable Field Theories
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-165676DOI: 10.1007/JHEP01(2019)076ISI: 000455469600002OAI: oai:DiVA.org:su-165676DiVA, id: diva2:1286184
Available from: 2019-02-06 Created: 2019-02-06 Last updated: 2019-02-06Bibliographically approved

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Dekel, Amit
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