1 / 2 BPS Wilson loop in N = 6 superconformal Chern-Simons theory at two loops

Self Cite

193

We study a family of circular BPS Wilson loops in N = 6 super ChernSimons-matter theories, generalizing the usual 1/2-BPS circle. The scalar and fermionic couplings depend on two deformation parameters and these operators can be considered as the ABJ(M) counterpart of the DGRT latitudes defined in N = 4 SYM. We perform a complete two-loop analysis of their vacuum expectation value, discuss the appearance of framing-like phases and propose a general relation with cohomologically equivalent bosonic operators. We make an all-loop proposal for computing the Bremsstrahlung function associated to the 1/2-BPS cusp in terms of these generalized Wilson loops. When applied to our two-loop result it reproduces the known expression. Finally, we comment on the generalization of this proposal to the bosonic 1/6-BPS case.

Section: Jhep06(2014)123supporting

confidence: 66%

“…This generalizes the well-known relation linking the 1/2−BPS and the 1/6−BPS vev's when computed perturbatively, at framing zero [26,29,30,34,37].…”

Section: Jhep06(2014)123mentioning

confidence: 69%

Section: Jhep06(2014)123mentioning

confidence: 70%

Section: Jhep06(2014)123mentioning

confidence: 99%

See 2 more Smart Citations

BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis

Bianchi

Griguolo

Leoni

et al. 2014

Self Cite

193

“…We evaluate them using DRED prescription in D = 3 − 2 . This regularization has been already proved to be consistent with supersymmetry in three-dimensional CS theories [1,13,[19][20][21][22][23].…”

Section: Jhep09(2016)009mentioning

confidence: 78%

The quantum 1/2 BPS Wilson loop in N = 4 $$ \mathcal{N}=4 $$ Chern-Simons-matter theories

Bianchi

Leoni

Mauri

et al. 2016

Self Cite

In three dimensional N = 4 Chern-Simons-matter theories two independent fermionic Wilson loop operators can be defined, which preserve half of the supersymmetry charges and are cohomologically equivalent at classical level. We compute their three-loop expectation value in a convenient color sector and prove that the degeneracy is uplifted by quantum corrections. We expand the matrix model prediction in the same regime and by comparison we conclude that the quantum 1/2 BPS Wilson loop is the average of the two operators. We provide an all-loop argument to support this claim at any order. As a by-product, we identify the localization result at three loops as a correction to the framing factor induced by matter interactions. Finally, we comment on the quantum properties of the non-1/2 BPS Wilson loop operator defined as the difference of the two fermionic ones.

Constant primary operators and where to find them: the strange case of BPS defects in ABJ(M) theory

Gorini

Guerrini

Penati

et al. 2023

We investigate the one-dimensional defect SCFT defined on the 1/2 BPS Wilson line/loop in ABJ(M) theory. We show that the supermatrix structure of the defect imposes a covariant supermatrix representation of the supercharges. Exploiting this covariant formulation, we prove the existence of a long multiplet whose highest weight state is a constant supermatrix operator. At weak coupling, we study this operator in perturbation theory and confirm that it acquires a non-trivial anomalous dimension. At strong coupling, we conjecture that this operator is dual to the lowest bound state of fluctuations of the fundamental open string in AdS4 × ℂℙ3 around the classical 1/2 BPS solution. Quite unexpectedly, this operator also arises in the cohomological equivalence between bosonic and fermionic Wilson loops. We also discuss some regularization subtleties arising in perturbative calculations on the infinite Wilson line.