Abelian dualities of $$ \mathcal{N} $$ = (0, 4) boundary conditions

We construct new families of $$ \mathcal{N} $$ N = (0, 4) AdS3 × S2 × $$ {\tilde{S}}^2 $$ S ˜ 2 × S1 backgrounds fibred over a 2d Riemann surface in Type IIB string theory. These solutions are obtained by extracting the near-horizon limit of D3-brane box configurations, consisting of D3-D5-NS5 branes ending on D5′-NS5′ background branes. We relate our families of solutions to previous AdS3 × S2 × CY2 and AdS3 × S3 × S2 solutions to Type IIA recently constructed in the literature. We construct explicit 2d quiver CFTs associated to the D3-brane box configurations, and check that the central charges match the holographic result. We extend our solutions to include D7-branes, and show that a subclass of these solutions can be interpreted in terms of D3-D5-NS5 defect branes embedded in a 5d fixed point theory. This is explicitly realised by linking our solutions to a 6d domain wall that asymptotes locally the AdS6 × S2 × Σ2 solution T-dual to the Brandhuber-Oz vacuum.

Section: Discussionmentioning

confidence: 78%

New $$ \mathcal{N} $$ = (0, 4) AdS3 near-horizons in Type IIB

Faedo

Lozano

Petri

2021

“…One is the N = (0, 4) chiral half-BPS boundary condition. It can be constructed in the brane setup [1,2] and has interesting dualities [3] under mirror symmetry [4][5][6]. Such a chiral BPS boundary condition admits canonical deformations that lead to the boundary Vertex Operator Algebras (VOAs) [7].…”

Section: Jhep03(2021)163 1 Introduction and Conclusionmentioning

confidence: 99%

Abelian mirror symmetry of $$ \mathcal{N} $$ = (2, 2) boundary conditions

Okazaki

2021

Self Cite

We evaluate half-indices of $$ \mathcal{N} $$ N = (2, 2) half-BPS boundary conditions in 3d $$ \mathcal{N} $$ N = 4 supersymmetric Abelian gauge theories. We confirm that the Neumann boundary condition is dual to the generic Dirichlet boundary condition for its mirror theory as the half-indices perfectly match with each other. We find that a naive mirror symmetry between the exceptional Dirichlet boundary conditions defining the Verma modules of the quantum Coulomb and Higgs branch algebras does not always hold. The triangular matrix obtained from the elliptic stable envelope describes the precise mirror transformation of a collection of half-indices for the exceptional Dirichlet boundary conditions.

“…Classifying boundary conditions would conceivably lead to a larger group of similar dualities. Analogous programs have been carried out in 3d N = 2 [72] and N = 4 theories [125][126][127][128][129], which uncovered rich duality actions on the space of boundary conditions.…”

Section: Discussionmentioning

confidence: 99%

Localization of 4d $$ \mathcal{N} $$ = 1 theories on 𝔻2× 𝕋2

Longhi

Nieri

Pittelli

2019

We consider 4d N = 1 gauge theories with R-symmetry on a hemisphere times a torus. We apply localization techniques to evaluate the exact partition function through a cohomological reformulation of the supersymmetry transformations. Our results represent the natural elliptic lifts of the lower dimensional analogs as well as a field theoretic derivation of the conjectured 4d holomorphic blocks, from which partition functions of compact spaces with diverse topology can be recovered through gluing. We also analyze the different boundary conditions which can naturally be imposed on the chiral multiplets, which turn out to be either Dirichlet or Robin-like. We show that different boundary conditions are related to each other by coupling the bulk to 3d N = 1 degrees of freedom on the boundary three-torus, for which we derive explicit 1-loop determinants.