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Deformations of the circular Wilson loop and spectral (in)dependence

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Author(s):
Cooke, Michael ; Dekel, Amit ; Drukker, Nadav ; Trancanelli, Diego ; Vescovi, Edoardo
Total Authors: 5
Document type: Journal article
Source: Journal of High Energy Physics; v. N/A, n. 1, p. 25-pg., 2019-01-09.
Abstract

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. (AU)

FAPESP's process: 17/50435-4 - Wilson loops in Gauge theory and holography
Grantee:Victor de Oliveira Rivelles
Support Opportunities: Regular Research Grants
FAPESP's process: 16/01343-7 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics
Grantee:Nathan Jacob Berkovits
Support Opportunities: Special Projects
FAPESP's process: 16/09266-1 - Strings in semi-symmetric spaces
Grantee:Edoardo Vescovi
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 14/18634-9 - Gauge/Gravity duality
Grantee:Victor de Oliveira Rivelles
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 15/17885-0 - High precision tests of the AdS/CFT correspondence
Grantee:Diego Trancanelli
Support Opportunities: Regular Research Grants