Bipartite Field Theories from D-Branes

Abstract

We develop tools for determining the gauge theory resulting from a configuration of Type IIB D3-branes probing a non-compact, toric Calabi-Yau 3-fold, in the presence of additional flavor D7-branes with general embeddings. Two main ingredients of our approach are dimer models and mirror symmetry. D7-branes with general embeddings are obtained by recombination of elementary D7-brane constituents. These tools are then used to engineer a large set of Bipartite Field Theories, a class of 4d, N=1 quantum field theories defined by bipartite graphs on bordered Riemann surfaces. Several explicit examples, including infinite families of models, associated to both planar and non-planar graphs are presented.

41 pages, 30 figures

References in corpus (13)

• Dimer models and toric diagrams
• Four-Dimensional SCFTs from M5-Branes
• A Delicate Universe
• Brane Tilings
• Meta-Stable Supersymmetry Breaking Vacua on Intersecting Branes
• Dynamical SUSY Breaking at Meta-Stable Minima from D-branes at Obstructed Geometries
• A Note on (Meta)stable Brane Configurations in MQCD
• Non-supersymmetric Meta-stable Vacua from Brane Configurations
• Gauge Theories at Resolved and Deformed Singularities using Dimers
• Brane Tilings and Exceptional Collections
• E3-brane instantons and baryonic operators for D3-branes on toric singularities
• Scattering Amplitudes and Toric Geometry
• Double Handled Brane Tilings

Cited by in corpus (20)

• The Standard Model Quiver in de Sitter String Compactifications
• Charting Class ${\mathcal{S}}_k$ Territory
• The Calabi-Yau Landscape: from Geometry, to Physics, to Machine-Learning
• A Comprehensive Survey of Brane Tilings
• The Geometry of On-Shell Diagrams
• Punctures from Probe M5-Branes and N=1 Superconformal Field Theories
• Geometric engineering on flops of length two
• Infrared Duality in Unoriented Pseudo del Pezzo
• Twin Theories, Polytope Mutations and Quivers for GTPs
• Mass Deformations of Unoriented Quiver Theories
• D-brane Instantons as Gauge Instantons in Orientifolds of Chiral Quiver Theories
• Bipartite field theories and D-brane instantons
• A Note on Non-Flat Points in the $SU(5)\times U(1)$ PQ F-Theory Model
• Gauge Theories, Tessellations & Riemann Surfaces
• BFT${}_2$: a General Class of $2d$ $\mathcal{N}=(0,2)$ Theories, 3-Manifolds and Toric Geometry
• Backreacting D-brane instantons on branes at singularities
• Consistent Dimer Models on Surfaces with Boundary
• Algebro-geometrical orientifolds and IR dualities
• Hilbert Series of Bipartite Field Theories
• Brane Tilings as On-shell Diagrams