Supersymmetric Mixed Boundary Conditions in AdS${}_2$ and DCFT${}_1$ Marginal Deformations

Abstract

We consider different supersymmetric mixed boundary conditions for scalar and fermionic fields in $Ad{S}_2$, searching for the dual description of a family of interpolating Wilson Loops in ABJM theory. The family, which interpolates between the bosonic 1/6 BPS loop and the 1/2 BPS loop, can be thought of as an exact marginal deformation in a defect CFT${}_1$. Confronting this property against holographic correlators and vacuum energy corrections singles out a particular boundary condition which we propose as dual to the interpolating family of Wilson loops.

arXiv comment27 pages. v2: various sections have been expanded for clarification, typos corrected and references added. Published version in JHEP

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Cited by in corpus (24)

• Analytic bootstrap and Witten diagrams for the ABJM Wilson line as defect CFT${}_1$
• Broken global symmetries and defect conformal manifolds
• Wilson loop in general representation and RG flow in 1d defect QFT
• Notes on hyperloops in N=4 Chern-Simons-matter theories
• Open Fishchain in N=4 Supersymmetric Yang-Mills Theory
• BPS Wilson loops and quiver varieties
• Interpolating Wilson loops and enriched RG flows
• Large Charges on the Wilson Loop in $\mathcal{N}=4$ SYM: Matrix Model and Classical String
• Wilson-loop One-point Functions in ABJM Theory
• 1/3 BPS loops and defect CFTs in ABJM theory
• Fermionic Bogomolnyi-Prasad-Sommerfield Wilson loops in four-dimensional $\mathcal{N}=2$ superconformal gauge theories
• 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
• Interpolating Boundary Conditions on $Ad{S}_2$
• On the abundance of supersymmetric strings in $Ad{S}_3\times S^3\times S^3\times S^1$ describing BPS line operators
• ADHM Wilson line defect indices
• 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
• Supersymmetric localization: $\mathcal{N}=(2,2)$ theories on S${}^2$ and AdS${}_2$
• A network of hyperloops
• Higher order RG flow on the Wilson line in $\mathcal{N}=4$ SYM
• Holographic Wilson Loop One-point Functions in ABJM Theory
• Boundary bound states and integrable Wilson loops in ABJM