Exact Bremsstrahlung functions in ABJM theory
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Published version
Author(s)
Bianchi, L
Preti, M
Vescovi, E
Type
Journal Article
Abstract
In this paper we study the Bremsstrahlung functions for the 16BPS and the 12BPS Wilson lines in ABJM theory. First we use a superconformal defect approach to prove a conjectured relation between the Bremsstrahlung functions associated to the geometric (B1/6φ) and R-symmetry (B1/6θ) deformations of the 16BPS Wilson line. This result, non-trivially following from a defect supersymmetric Ward identity, provides an exact expression for B1/6θbased on a known result for B1/6φ. Subsequently, we explore the consequences of this relation for the 12BPS Wilson line and, using the localization result for the multiply wound Wilson loop, we provide an exact closed form for the corresponding Bremsstrahlung function. Interestingly, for the comparison with integrability, this expression appears particularly natural in terms of the conjectured interpolating function h(λ). During the derivation of these results we analyze the protected defect supermultiplets associated to the broken symmetries, including their two- and three-point correlators.
Date Issued
2018-07-01
Date Acceptance
2018-06-21
Citation
Journal of High Energy Physics, 2018, 2018 (7)
ISSN
1029-8479
Publisher
Springer Verlag (Germany)
Journal / Book Title
Journal of High Energy Physics
Volume
2018
Issue
7
Copyright Statement
© The Author(s) 2018. Article funded by SCOAP. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in
any medium, provided the original author(s) and source are credited.
any medium, provided the original author(s) and source are credited.
Subjects
01 Mathematical Sciences
02 Physical Sciences
Nuclear & Particles Physics
Publication Status
Published
Date Publish Online
2018-07-09