(2,2) and (0,4) Supersymmetric Boundary Conditions in 3d N = 4 Theories and Type IIB Branes

Abstract

The half-BPS boundary conditions preserving $\mathcal{N}=(2,2)$ and $\mathcal{N}=(0,4)$ supersymmetry in 3d $\mathcal{N}=4$ supersymmetric gauge theories are examined. The BPS equations admit decomposition of the bulk supermultiplets into specific boundary supermultiplets of preserved supersymmetry. Nahm-like equations arise in the vector multiplet BPS boundary condition preserving $\mathcal{N}=(0,4)$ supersymmetry and Robin-type boundary conditions appear for the hypermultiplet coupled to vector multiplet when $\mathcal{N}=(2,2)$ supersymmetry is preserved. The half-BPS boundary conditions are realized in the brane configurations of Type IIB string theory.

46 pages, 4 figures; v4: published version in Physical Review D

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Cited by in corpus (18)

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• Mirror symmetry and line operators
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• (0,4) brane box models
• Localization of 4d $\mathcal{N}=1$ theories on ${\mathbb{D}}^2\times {\mathbb{T}}^2$
• 3d $\mathcal{N}=4$ Gauge Theories on an Elliptic Curve
• Mirror symmetry of 3d $\mathcal{N}=4$ gauge theories and supersymmetric indices
• Abelian dualities of $\mathcal{N}=(0,4)$ boundary conditions
• Dualities of Corner Configurations and Supersymmetric Indices
• Dualities and flavored indices of M2-brane SCFTs
• BPS Hall Algebra of Scattering Hall States
• Web of Seiberg-like dualities for 3d $\mathcal{N}=2$ quivers
• Orbifold ETW brane and half-indices
• Mock Modular Index of M2-M5 Brane System
• Singular BPS boundary conditions in $\mathcal{N}=(2,2)$ supersymmetric gauge theories
• Quarter-indices for basic ortho-symplectic corners