Abstract
There is a number of indications that scattering amplitudes in the Aharony-Bergman-Jafferis-Maldacena theory might have a dual description in terms of a holonomy of a supergauge connection on a null polygonal contour in a way analogous to the four-dimensional maximally supersymmetric Yang-Mills theory. However, so far its explicit implementations evaded a successful completion. The difficulty is intimately tied to the lack of the T-self-duality of the sigma model on the string side of the gauge/string correspondence. Unscathed by the last misfortune, we initiate with this study an application of the pentagon paradigm to scattering amplitudes of the theory. With the language being democratic and nondiscriminatory to whether one considers a Wilson loop expectation value or an amplitude, the success in the application of the program points towards a possible unified observable on the field theory side. Our present consideration is focused on two-loop perturbation theory in the planar limit, begging for higher loop data in order to bootstrap current analysis to all orders in the ’t Hooft coupling.
| Original language | English (US) |
|---|---|
| Article number | 116 |
| Journal | Journal of High Energy Physics |
| Volume | 2019 |
| Issue number | 9 |
| DOIs | |
| State | Published - Sep 1 2019 |
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Keywords
- AdS-CFT Correspondence
- Integrable Field Theories
- Scattering Amplitudes
- Wilson’t Hooft and Polyakov loops
ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
ABJM flux-tube and scattering amplitudes. / Basso, Benjamin; Belitsky, Andrei V.
In: Journal of High Energy Physics, Vol. 2019, No. 9, 116, 01.09.2019.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - ABJM flux-tube and scattering amplitudes
AU - Basso, Benjamin
AU - Belitsky, Andrei V.
PY - 2019/9/1
Y1 - 2019/9/1
N2 - There is a number of indications that scattering amplitudes in the Aharony-Bergman-Jafferis-Maldacena theory might have a dual description in terms of a holonomy of a supergauge connection on a null polygonal contour in a way analogous to the four-dimensional maximally supersymmetric Yang-Mills theory. However, so far its explicit implementations evaded a successful completion. The difficulty is intimately tied to the lack of the T-self-duality of the sigma model on the string side of the gauge/string correspondence. Unscathed by the last misfortune, we initiate with this study an application of the pentagon paradigm to scattering amplitudes of the theory. With the language being democratic and nondiscriminatory to whether one considers a Wilson loop expectation value or an amplitude, the success in the application of the program points towards a possible unified observable on the field theory side. Our present consideration is focused on two-loop perturbation theory in the planar limit, begging for higher loop data in order to bootstrap current analysis to all orders in the ’t Hooft coupling.
AB - There is a number of indications that scattering amplitudes in the Aharony-Bergman-Jafferis-Maldacena theory might have a dual description in terms of a holonomy of a supergauge connection on a null polygonal contour in a way analogous to the four-dimensional maximally supersymmetric Yang-Mills theory. However, so far its explicit implementations evaded a successful completion. The difficulty is intimately tied to the lack of the T-self-duality of the sigma model on the string side of the gauge/string correspondence. Unscathed by the last misfortune, we initiate with this study an application of the pentagon paradigm to scattering amplitudes of the theory. With the language being democratic and nondiscriminatory to whether one considers a Wilson loop expectation value or an amplitude, the success in the application of the program points towards a possible unified observable on the field theory side. Our present consideration is focused on two-loop perturbation theory in the planar limit, begging for higher loop data in order to bootstrap current analysis to all orders in the ’t Hooft coupling.
KW - AdS-CFT Correspondence
KW - Integrable Field Theories
KW - Scattering Amplitudes
KW - Wilson’t Hooft and Polyakov loops
UR - http://www.scopus.com/inward/record.url?scp=85073219843&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85073219843&partnerID=8YFLogxK
U2 - 10.1007/JHEP09(2019)116
DO - 10.1007/JHEP09(2019)116
M3 - Article
AN - SCOPUS:85073219843
VL - 2019
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1029-8479
IS - 9
M1 - 116
ER -