Wilson loops in N $$ \mathcal{N} $$ = 6 superspace for ABJM theory

Rosso, Matteo; Vergu, Cristian

doi:10.1007/jhep06(2014)176

Cited by 3 publications

(5 citation statements)

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“…A possible extension to higher point amplitudes would require considering super Wilson loops [32]. Progress in such a construction has been recently carried out in [33]. It has to be noticed that the two-loop amplitude (2.11) is mostly given by the double-box, which contains the leading infrared poles and the functions with highest degree of transcendentality.…”

Section: Dual Conformal Invariant Integrals In Three Dimensionsmentioning

confidence: 99%

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On the ABJM four-point amplitude at three loops and BDS exponentiation

Bianchi

Leoni

2014

J. High Energ. Phys.

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Abstract:We study the three-loop four-point amplitude in ABJM theory. We determine the dual conformal invariant integrals with highest number of propagators and fix their coefficients by two-particle cuts. Evaluating such a combination of integrals in dimensional regularization we provide evidence for exponentiation of the amplitude, including the finite terms. In addition we show that the three-loop amplitude can be expressed in terms of classical polylogarithms of uniform degree of transcendentality.

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Section: Dual Conformal Invariant Integrals In Three Dimensionsmentioning

confidence: 99%

“…Indeed the six-point amplitude was computed at one [13,14,29,30] and two loops [31], but, since it is not MHV, it would require an extension of the duality to super Wilson loops [32]. Progress on this has been recently achieved [33].…”

Section: Introductionmentioning

confidence: 99%

On the ABJM four-point amplitude at three loops and BDS exponentiation

Bianchi

Leoni

2014

J. High Energ. Phys.

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“…We shall not discuss this issue here as we do not know of a loop that could accommodate for all these excitations. (Processes with fermions might be possible to produce using the super loop of [54]. )…”

Section: Pentagons For Adjointsmentioning

confidence: 99%

“…This implies that the duality, if exists, should be to some version of a superloop, see e.g. [54] for a proposal. Currently, the only available higher-loop data is the six-leg amplitude which was computed at one [55][56][57][58] and two [59] loops.…”

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confidence: 99%

ABJM flux-tube and scattering amplitudes

Basso

Belitsky

2019

J. High Energ. Phys.

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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 fourdimensional 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.

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“…In this ever-expanding literature of construction, classification and computation involving Wilson loops, we present here a supersymmetrization of the simplest WL operator in threedimensional CS matter theories including ABJ(M) theories. Such an attempt has been made in [22] for ABJM theory in the framework of 'ordinary' N = 6 superspace. It was also pointed out that there are at least three reasons why such a WL cannot be dual to the scattering amplitudes of ABJM theory.…”

Section: Introductionmentioning

confidence: 99%

N=3 harmonic supersymmetric Wilson loop

Huang

Jain

2018

Phys. Rev. D

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We study supersymmetric Wilson loops in d ¼ 3, N ¼ 3 harmonic superspace, leading to a construction of a supersymmetrized generalization of the 1 3 -BPS Wilson loop for N ¼ 3 gauge theories. This also includes the generalization of the 1 6 -BPS loop for ABJM theory. We perform a "one-loop" computation of the vacuum expectation value of this operator directly in superspace and compare with the known N ¼ 2 localization results at large N. This comparison also lets us identify certain fermionic contributions that do not receive any subleading corrections.

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Wilson loops in N $$ \mathcal{N} $$ = 6 superspace for ABJM theory

Cited by 3 publications

References 91 publications

On the ABJM four-point amplitude at three loops and BDS exponentiation

On the ABJM four-point amplitude at three loops and BDS exponentiation

ABJM flux-tube and scattering amplitudes

N=3 harmonic supersymmetric Wilson loop

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