Hidden Exceptional Global Symmetries in 4d CFTs

Abstract

We study four dimensional N=1 gauge theories that arise on the worldvolume of D3-branes probing complex cones over del Pezzo surfaces. Global symmetries of the gauge theories are made explicit by using a correspondence between bifundamental fields in the quivers and divisors in the underlying geometry. These global symmetries are hidden, being unbroken when all inverse gauge couplings of the quiver theory vanish. In the broken phase, for finite gauge couplings, only the Cartan subalgebra is manifest as a global symmetry. Superpotentials for these models are constructed using global symmetry invariants as their building blocks. Higgsings connecting theories for different del Pezzos are immediately identified by performing the appropriate higgsing of the global symmetry groups. The symmetric properties of the quivers are also exploited to count the first few dibaryon operators in the gauge theories, matching their enumeration in the AdS duals.

61 pages, 31 figures

References in corpus (9)

• Chaotic Duality in String Theory
• Dibaryons from Exceptional Collections
• Duality Walls, Duality Trees and Fractional Branes
• Exceptional Collections and del Pezzo Gauge Theories
• Dibaryon Spectroscopy
• On Correspondences Between Toric Singularities and (p,q)-webs
• Baryon Charges in 4d Superconformal Field Theories and Their AdS Duals
• A Trio of Dualities: Walls, Trees and Cascades
• Large Volume Perspective on Branes at Singularities

Cited by in corpus (19)

• Counting BPS Operators in Gauge Theories: Quivers, Syzygies and Plethystics
• The Master Space of N=1 Gauge Theories
• Brane Tilings and Reflexive Polygons
• Counting BPS Baryonic Operators in CFTs with Sasaki-Einstein duals
• Exploring the Vacuum Geometry of N=1 Gauge Theories
• Mastering the Master Space
• Towards a Systematic Construction of Realistic D-brane Models on a del Pezzo Singularity
• Comments on Anomalies and Charges of Toric-Quiver Duals
• Master Space, Hilbert Series and Seiberg Duality
• Vacuum Geometry and the Search for New Physics
• New results on superconformal quivers
• Double Handled Brane Tilings
• Master Space and Hilbert Series for N=1 Field Theories
• Chern-Simons: Fano and Calabi-Yau
• Radiative Fermion Masses in Local D-Brane Models
• From $\beta$ to $\eta$: a new cohomology for deformed Sasaki-Einstein manifolds
• Triangle Anomalies from Einstein Manifolds
• Symmetry Breaking Bulk Effects in Local D-brane Models
• On M-theory on Real Toric Fibrations