The generalized cusp in ABJ(M) N = 6 Super Chern-Simons theories

Griguolo, Luca; Marmiroli, Daniele; Martelloni, Gabriele; Seminara, Domenico

doi:10.48550/arxiv.1208.5766

Cited by 22 publications

(75 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The explicit construction of "latitude" fermionic 1/6 BPS Wilson Loops [22] was taken into account together with some reasonable assumptions on their near-maximal circle behavior (see [20] details). The final answer, consistent with twoloop Feynman diagrams computations [23] and leading [24] and subleading [25] strong coupling expansions reads…”

supporting

confidence: 73%

Framing and localization in Chern-Simons theories with matter

Bianchi

Leoni

Mauri

et al. 2016

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

Supersymmetric localization provides exact results that should match QFT computations in some regularization scheme. The agreement is particularly subtle in three dimensions where complex answers from localization procedure sometimes arise. We investigate this problem by studying the expectation value of the 1/6 BPS Wilson loop in planar ABJ(M) theory at three loops in perturbation theory. We reproduce the corresponding term in the localization result and argue that it originates entirely from a non-trivial framing of the circular contour. Contrary to pure Chern-Simons theory, we point out that for ABJ(M) the framing phase is a non-trivial function of the couplings and that it potentially receives contributions from vertex-like diagrams. Finally, we briefly discuss the intimate link between the exact framing factor and the Bremsstrahlung function of the 1/2-BPS cusp.

show abstract

supporting

confidence: 73%

Framing and localization in Chern-Simons theories with matter

Bianchi

Leoni

Mauri

et al. 2016

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

show abstract

“…The function B ϕ 1/6 associated to the small angle limit of the geometric bosonic cusp anomaly was computed using (10.6) in [65,39] and it is given by .8) This result at equal gauge group ranks coincides with the proposed exact formula in [71].…”

Section: Weak Coupling Expansion Of the Bremsstrahlung Functions For ...mentioning

confidence: 62%

“…Since the cusp anomalous dimension for the cusp with 1/2 BPS rays is only known for equal ranks of the gauge group, we set N 1 = N 2 = N for this quantity. The coefficients Γ 1/6 and Γ 1/2 of the logarithm depend on both angles and are called generalized cusp anomalous dimensions [65,50].…”

Section: Michelangelo Preti Norditamentioning

confidence: 99%

“…The cusp anomaly Γ 1/2 (k, N, ϕ, θ) was computed at two-loops via perturbation theory in [65]. In the limit in which only ladder diagrams contribute, it is known exactly by resumming the perturbative series with the Bethe-Salpeter method [69].…”

Section: Weak Coupling Expansion Of the Bremsstrahlung Function For T...mentioning

confidence: 99%

“…To determine it, one should derive a boundary crossing condition and look for the appropriate solution. In particular, introducing cusp angles by rotating one of the reflection matrices and considering the leading Luscher correction in the weak coupling limit, one should be able to reproduce the perturbative result for the cusp anomalous dimensions computed in [65] and, for small cusp angles, the perturbative Bremmstrahlung function (10.7).…”

Section: Open Problemsmentioning

confidence: 99%

See 2 more Smart Citations

Roadmap on Wilson loops in 3d Chern–Simons-matter theories

Drukker¹,

Trancanelli²,

Bianchi³

et al. 2020

J. Phys. A: Math. Theor.

Self Cite

109

View full text Add to dashboard Cite

This is a compact review of recent results on supersymmetric Wilson loops in ABJ(M) and related theories. It aims to be a quick introduction to the state of the art in the field and a discussion of open problems. It is divided into short chapters devoted to different questions and techniques. Some new results, perspectives and speculations are also presented. We hope this might serve as a baseline for further studies of this topic. Prepared for submission to J. Phys. A.

show abstract

Semiclassical partition function for strings dual to Wilson loops with small cusps in ABJM

Damia

Correa

Silva

2015

J. High Energ. Phys.

View full text Add to dashboard Cite

We compute the 1-loop partition function for strings in AdS 4 × CP 3 , whose worldsheets end along a line with small cusp angles in the boundary of AdS. We obtain these 1-loop results in terms of the vacuum energy for on-shell modes. Our results verify the proposal by Lewkowycz and Maldacena in arXiv:1312.5682 for the exact Bremsstrahlung function up to the next to leading order in the strong coupling expansion. The agreement is observed for cusps distorting either the 1/2 BPS or the 1/6 BPS Wilson line.

show abstract

The generalized cusp in ABJ(M) N = 6 Super Chern-Simons theories

Cited by 22 publications

References 0 publications

Framing and localization in Chern-Simons theories with matter

Framing and localization in Chern-Simons theories with matter

Roadmap on Wilson loops in 3d Chern–Simons-matter theories

Semiclassical partition function for strings dual to Wilson loops with small cusps in ABJM

Contact Info

Product

Resources

About