Seiberg Duality is an Exceptional Mutation

Abstract

The low energy gauge theory living on D-branes probing a del Pezzo singularity of a non-compact Calabi-Yau manifold is not unique. In fact there is a large equivalence class of such gauge theories related by Seiberg duality. As a step toward characterizing this class, we show that Seiberg duality can be defined consistently as an admissible mutation of a strongly exceptional collection of coherent sheaves.

32 pages, 4 figures; v2 refs added, "orbifold point" discussion refined; v3 version to appear in JHEP, discussion of torsion sheaves improved

References in corpus (8)

• Chaotic Duality in String Theory
• Dibaryons from Exceptional Collections
• Exceptional Collections and del Pezzo Gauge Theories
• Dibaryon Spectroscopy
• Baryon Charges in 4d Superconformal Field Theories and Their AdS Duals
• On Berenstein-Douglas-Seiberg Duality
• Seiberg duality as derived equivalence for some quiver gauge theories
• On Duality Walls in String Theory

Cited by in corpus (33)

• Counting BPS Operators in Gauge Theories: Quivers, Syzygies and Plethystics
• Comments on 3d Seiberg-like dualities
• Quivers, Tilings, Branes and Rhombi
• Brane Tilings and Their Applications
• Computation of Superpotentials for D-Branes
• Gauge Theories at Resolved and Deformed Singularities using Dimers
• Brane Tilings and Exceptional Collections
• Moduli Spaces of Gauge Theories from Dimer Models: Proof of the Correspondence
• Superpotentials for Quiver Gauge Theories
• The Standard Model Quiver in de Sitter String Compactifications
• D-Branes on Vanishing del Pezzo Surfaces
• Non-perturbative superpotentials across lines of marginal stability
• Wall Crossing, Quivers and Crystals
• Vafa-Witten invariants from exceptional collections
• On the Classification of Brane Tilings
• Exceptional collections and D-branes probing toric singularities
• New N=1 dualities from orientifold transitions - Part II: String Theory
• New results on superconformal quivers
• Toric Fano varieties and Chern-Simons quivers
• Crystal Melting and Black Holes
• Cascading to the MSSM
• $3d$ Printing of $2d$ $\mathcal{N}=(0,2)$ Gauge Theories
• B-branes and supersymmetric quivers in 2d
• N-ification of Forces: A Holographic Perspective on D-brane Model Building
• Global embeddings for branes at toric singularities
• Moduli Spaces for D-branes at the Tip of a Cone
• Generalized quiver mutations and single-centered indices
• Seiberg duality for Chern-Simons quivers and D-brane mutations
• Undoing Orbifold Quivers
• Superconformal Block Quivers, Duality Trees and Diophantine Equations
• On the Classification of Duality Webs for Graded Quivers
• D-branes Wrapped on Fuzzy del Pezzo Surfaces
• On the structure of quadrilateral brane tilings