New BPS Wilson loops in $\mathcal{N}\text{= 4}$ circular quiver Chern-Simons-matter theories

Abstract

We construct new families of 1/4 BPS Wilson loops in circular quiver $\mathcal{N}=4$ superconformal Chern-Simons-matter (SCSM) theories in three dimensions. They are defined as the holonomy of superconnections that contain non-trivial couplings to scalar and fermions, and cannot be reduced to block-diagonal matrices. Consequently, the new operators cannot be written in terms of double-node Wilson loops, as the ones considered so far in the literature. For particular values of the couplings the superconnection becomes block-diagonal and we recover the known fermionic 1/4 and 1/2 BPS Wilson loops. The new operators are cohomologically equivalent to bosonic 1/4 BPS Wilson loops and are then amenable of exact evaluation via localization techniques. Moreover, in the case of orbifold ABJM theory we identify the corresponding gravity duals for some of the 1/4 and 1/2 BPS Wilson loops.

32 pages; v2: minor improvements, general classification of BPS WLs added; v3: comments added, typos fixed, JHEP published version

References in corpus (13)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Fractional M2-branes
• On the moduli space of elliptic Maxwell-Chern-Simons theories
• Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory
• Wilson Loops in Superconformal Chern-Simons Theory and Fundamental Strings in Anti-de Sitter Supergravity Dual
• Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry
• Supersymmetric Wilson Loops in N=6 Super Chern-Simons-matter theory
• On M5-branes in N=6 Membrane Action
• The Quantum Spectral Curve of the ABJM theory
• BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis
• 1/2-BPS Wilson Loops and Vortices in ABJM Model
• Towards the exact Bremsstrahlung function of ABJM theory
• The quantum 1/2 BPS Wilson loop in $\mathcal{N}=4$ Chern-Simons-matter theories

Cited by in corpus (10)

• Interpolating Wilson loops and enriched RG flows
• 1/3 BPS loops and defect CFTs in ABJM theory
• Wilson loops and defect RG flows in ABJM
• Constant primary operators and where to find them: The strange case of BPS defects in ABJ(M) theory
• Conformal and non-conformal hyperloop deformations of the 1/2 BPS circle
• Classifying BPS bosonic Wilson loops in 3d $\mathcal{N}=4$ Chern-Simons-matter theories
• Abelian dualities and line defect indices for 3d gauge theories
• Bootstrap of the defect 1/2 BPS Wilson lines in N=4 Chern-Simons-matter theories
• A network of hyperloops
• Universal sectors in superconformal defects