Singular BPS boundary conditions in $\mathcal{N}=(2,2)$ supersymmetric gauge theories

Abstract

We derive general BPS boundary conditions in two-dimensional $\mathcal{N}=(2,2)$ supersymmetric gauge theories. We analyze the solutions of these boundary conditions, and in particular those that allow the bulk fields to have poles at the boundary. We also present the brane configurations for the half- and quarter-BPS boundary conditions of the $\mathcal{N}=(2,2)$ supersymmetric gauge theories in terms of branes in Type IIA string theory. We find that both A-type and B-type brane configurations are lifted to M-theory as a system of M2-branes ending on an M5-brane wrapped on a product of a holomorphic curve in ${\mathbb{C}}^2$ with a special Lagrangian 3-cycle in ${\mathbb{C}}^3$.

68 pages, 1 figure; v2: published version in JHEP

References in corpus (12)

• Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory
• Witten Index and Wall Crossing
• Phases Of N=2 Theories In 1+1 Dimensions With Boundary
• Gauge Theory, Ramification, And The Geometric Langlands Program
• Boundary Conditions for Interacting Membranes
• Duality walls and defects in 5d N=1 theories
• Algebra of the Infrared: String Field Theoretic Structures in Massive $\mathcal{N}=(2,2)$ Field Theory In Two Dimensions
• Boundaries and Defects of N=4 SYM with 4 Supercharges, Part I: Boundary/Junction Conditions
• Boundaries and Defects of N=4 SYM with 4 Supercharges, Part II: Brane Constructions and 3d N=2 Field Theories
• Self-dual Strings and 2D SYM
• Boundaries and supercurrent multiplets in 3D Landau-Ginzburg models
• Central charges of wrapped M5-brane backgrounds

Cited by in corpus (4)

• Web of Seiberg-like dualities for 3d $\mathcal{N}=2$ quivers
• Seiberg-like dualities for orthogonal and symplectic 3d $\mathcal{N}=2$ gauge theories with boundaries
• Abelian mirror symmetry of $\mathcal{N}=(2,2)$ boundary conditions
• Boundary confining dualities and Askey-Wilson type $q$-beta integrals