Holomorphic boundary conditions for topological field theories via branes in twisted supergravity
arXiv:2110.15257
Abstract
Three-dimensional supersymmetric field theories admit a natural class of chiral half-BPS boundary conditions that preserve supersymmetry. While such boundary conditions are not compatible with topological twists, deformations that define boundary conditions for the topological theories were recently introduced by Costello and Gaiotto. Not all boundary conditions admit such deformations. We revisit this construction, working directly in the setting of the holomorphically twisted theory and viewing the topological twists as further deformations. Properties of the construction are explained both purely in the context of holomorphic field theory and also by engineering the holomorphic theory on the worldvolume of a D-brane. Our brane engineering approach combines the intersecting brane configurations of Hanany-Witten with recent work of Costello and Li on twisted supergravity. The latter approach allows to realize holomorphically and topologically twisted field theories directly as worldvolume theories in deformed supergravity backgrounds, and we make extensive use of this.
arXiv comment40 pages, 2 figures. v. 2: updated references
References in corpus (18)
- S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory
- Mirror Symmetry in Three Dimensional Gauge Theories
- Remarks on A-branes, Mirror Symmetry, and the Fukaya category
- Boundaries, Mirror Symmetry, and Symplectic Duality in 3d Gauge Theory
- T^σ_ρ(G) Theories and Their Hilbert Series
- On the origin of the BV operator on odd symplectic supermanifolds
- Twisted supergravity and its quantization
- Topological Chern-Simons/Matter Theories
- Maximally twisted eleven-dimensional supergravity
- Twisted eleven-dimensional supergravity
- BFN Springer Theory
- Ring Relations and Mirror Map from Branes
- Hilbert series and mixed branches of theory
- Degenerate Classical Field Theories and Boundary Theories
- Anomaly cancellation in the topological string
- Equivariant localization in factorization homology and applications in mathematical physics I: Foundations
- Equivariant localization in factorization homology and applications in mathematical physics II: Gauge theory applications
- Factorization Algebras for Classical Bulk-Boundary Systems