Double Handled Brane Tilings
arXiv:1305.3607 · doi:10.1007/JHEP10(2013)001
Abstract
We classify the first few brane tilings on a genus 2 Riemann surface and identify their toric Calabi-Yau moduli spaces. These brane tilings are extensions of tilings on the 2-torus, which represent one of the largest known classes of 4d N=1 superconformal field theories for D3-branes. The classification consists of 16 distinct genus 2 brane tilings with up to 8 quiver fields and 4 superpotential terms. The Higgs mechanism is used to relate the different theories.
86 pages, 43 figures, 13 tables
References in corpus (21)
- N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
- Gauge Symmetry and Supersymmetry of Multiple M2-Branes
- Algebraic structures on parallel M2-branes
- Modeling Multiple M2's
- Counting Gauge Invariants: the Plethystic Program
- Dimer models and toric diagrams
- Brane Tilings
- Moduli spaces of Chern-Simons quiver gauge theories and AdS_4/CFT_3
- The Master Space of N=1 Gauge Theories
- Brane Tilings and M2 Branes
- Counting Chiral Operators in Quiver Gauge Theories
- Brane Tilings and Reflexive Polygons
- Toric Calabi-Yau four-folds dual to Chern-Simons-matter theories
- Mastering the Master Space
- Brane Tilings and Specular Duality
- On moduli spaces of quiver representations associated with dimer models
- Master Space, Hilbert Series and Seiberg Duality
- Symmetries of Abelian Orbifolds
- Master Space and Hilbert Series for N=1 Field Theories
- An Introduction to Counting Orbifolds
- Mesonic Chiral Rings in Calabi-Yau Cones from Field Theory
Cited by in corpus (12)
- The Calabi-Yau Landscape: from Geometry, to Physics, to Machine-Learning
- Chiral theories of class S
- Bipartite Field Theories from D-Branes
- Gauge Theories and Dessins d'Enfants: Beyond the Torus
- Scattering Amplitudes and Toric Geometry
- Twin Theories, Polytope Mutations and Quivers for GTPs
- Mass Deformations of Unoriented Quiver Theories
- Hilbert Series and Moduli Spaces of k U(N) Vortices
- Bipartite field theories and D-brane instantons
- Gauge Theories, Tessellations & Riemann Surfaces
- Composite Genus One Belyi Maps
- Hilbert Series of Bipartite Field Theories