Small Instantons, del Pezzo Surfaces and Type I' theory

Abstract

Small instantons of exceptional groups arise geometrically by a collapsing del Pezzo surface in a CY. We use this to explain the physics of a 4-brane probe in Type I' compactification to 9 dimensions.

21 pages, minor changes

References in corpus (1)

• Matter From Geometry

Cited by in corpus (136)

• Brane Dynamics and Gauge Theory
• Branes, Superpotentials and Superconformal Fixed Points
• Atomic Classification of 6D SCFTs
• 5-dim Superconformal Index with Enhanced En Global Symmetry
• On Geometric Classification of 5d SCFTs
• Matrix Models, Geometric Engineering and Elliptic Genera
• Deformations of Superconformal Theories
• Refined stable pair invariants for E-, M- and [p,q]-strings
• 5-Brane Webs, Symmetry Enhancement, and Duality in 5d Supersymmetric Gauge Theory
• E-Strings and N=4 Topological Yang-Mills Theories
• Geometric Engineering, Mirror Symmetry and 6d (1,0) -> 4d, N=2
• 6D SCFTs and Phases of 5D Theories
• Boundaries, Mirror Symmetry, and Symplectic Duality in 3d $\mathcal{N}=4$ Gauge Theory
• Non-Lagrangian Theories from Brane Junctions
• 5d and 4d SCFTs: Canonical Singularities, Trinions and S-Dualities
• Three dimensional canonical singularity and five dimensional N=1 SCFT
• Instanton sums and five-dimensional gauge theories
• Topological strings and 5d T_N partition functions
• Explicit examples of DIM constraints for network matrix models
• Instanton operators and symmetry enhancement in 5d supersymmetric gauge theories
• Five-dimensional SCFTs and gauge theory phases: an M-theory/type IIA perspective
• Fibers add Flavor, Part II: 5d SCFTs, Gauge Theories, and Dualities
• BPS Degeneracies and Superconformal Index in Diverse Dimensions
• Discrete theta and the 5d superconformal index
• Instanton operators and symmetry enhancement in 5d supersymmetric quiver gauge theories
• A new 5d description of 6d D-type minimal conformal matter
• Instanton Operators and the Higgs Branch at Infinite Coupling
• Classifying 5d SCFTs via 6d SCFTs: Rank one
• Quiver Theories from D6-branes via Mirror Symmetry
• Twisted Circle Compactifications of 6d SCFTs
• Dualities and 5-brane webs for 5d rank 2 SCFTs
• Phases of 5d SCFTs from M-/F-theory on Non-Flat Fibrations
• Higher Symmetries of 5d Orbifold SCFTs
• 5-brane webs for 5d $\mathcal{N}=1$ $G_2$ gauge theories
• Universal Features of BPS Strings in Six-dimensional SCFTs
• A New Infinite Class of Quiver Gauge Theories
• SUSY field theories, integrable systems and their stringy/brane origin -- II
• Spheres, Charges, Instantons, and Bootstrap: A Five-Dimensional Odyssey
• 0-Form, 1-Form and 2-Group Symmetries via Cutting and Gluing of Orbifolds
• Classification of 5d N=1 gauge theories
• 5d/6d DE instantons from trivalent gluing of web diagrams
• Compactness of Brane Moduli and the String Lamppost Principle in $d>6$
• Magnetic Quivers from Brane Webs with O5 Planes
• Brane webs, $5d$ gauge theories and $6d$ $\mathcal{N}$$=(1,0)$ SCFT's
• Instantons, Symmetries and Anomalies in Five Dimensions
• E + E $\to$ H
• Dimer Models and Integrable Systems
• Instanton Expansions for Mass Deformed N=4 Super Yang-Mills Theories
• Aspects of Superconformal Multiplets in D>4
• The Standard Model Quiver in de Sitter String Compactifications
• $S^1/T^2$ Compactifications of 6d $\mathcal{N}=(1,0)$ Theories and Brane Webs
• Five-Brane Superpotentials and Heterotic/F-theory Duality
• Swampland Constraints on 5d $\mathcal{N}=1$ Supergravity
• Seiberg-Witten Curve for the E-String Theory
• Rank-two 5d SCFTs from M-theory at isolated toric singularities: a systematic study
• Equivalence of several descriptions for 6d SCFT
• Towards Classification of 5d SCFTs: Single Gauge Node
• Defect $a$-Theorem and $a$-Maximization
• Fine Tuning, Sequestering, and the Swampland
• Exact partition functions of Higgsed 5d $T_N$ theories
• Evidence for a Non-Supersymmetric 5d CFT from Deformations of 5d $SU(2)$ SYM
• Bootstrapping BPS spectra of 5d/6d field theories
• Complete prepotential for 5d $\mathcal{N}=1$ superconformal field theories
• On Heterotic Orbifolds, M Theory and Type I' Brane Engineering
• Small Volumes in Compactified String Theory
• Flavor Symmetry of 5d SCFTs, Part 1: General Setup
• Discrete theta angle from an O5-plane
• Exploring 5d BPS Spectra with Exponential Networks
• Five-dimensional gauge theory and compactification on a torus
• Elliptic Blowup Equations for 6d SCFTs. III: E-strings, M-strings and Chains
• Adding flavor to Dijkgraaf-Vafa
• Topological vertex formalism with O5-plane
• Five-Dimensional Gauge Theories and Local Mirror Symmetry
• Quantum Deconstruction of a 5D SYM and its Moduli Space
• Calabi-Yau Spaces and Five Dimensional Field Theories with Exceptional Gauge Symmetry
• Affine 7-brane Backgrounds and Five-Dimensional $E_N$ Theories on $S^1$
• 6D SCFTs, 4D SCFTs, Conformal Matter, and Spin Chains
• Wilson loops in 5d $\mathcal{N}=1$ theories and S-duality
• Effective descriptions of branes on non-geometric tori
• Hierarchy of RG flows in 6d $(1,0)$ orbi-instantons
• Duality Between String Junctions and D-Branes on Del Pezzo Surfaces
• On the BPS spectrum of 5d SU(2) super-Yang-Mills
• Testing our understanding of SCFTs: a catalogue of rank-2 $\mathcal{N}$=2 theories in four dimensions
• The Web of D-branes at Singularities in Compact Calabi-Yau Manifolds
• Topological string amplitudes for the local half K3 surface
• Hierarchies of RG flows in 6d $(1,0)$ massive E-strings
• 5d/6d Wilson loops from blowups
• On the Strong Coupling Dynamics of heterotic string theory on C^3/Z_3
• Rigid limit for hypermultiplets and five-dimensional gauge theories
• The Cat's Cradle: Deforming the higher rank $E_1$ and ${\tilde{E}}_1$ theories
• E_8 x E_8 Small Instantons in Matrix Theory
• String duality, automorphic forms, and generalized Kac-Moody algebras
• A 5d/2d/4d correspondence
• Exploring the orthosymplectic zoo
• Higgsing and Twisting of 6d $D_N$ gauge theories
• Partition functions of web diagrams with an O7${}^{-}$-plane
• An Index for Ray Operators in 5d $E_n$ SCFTs
• M-theory curves from warped AdS${}_6$ in Type IIB
• Dilatonic states near holographic phase transitions
• Twin Theories, Polytope Mutations and Quivers for GTPs
• On minimal Type IIB $Ad{S}_6$ solutions with commuting 7-branes
• Refined topological vertex with ON-planes
• Fibre-base duality of 5d KK theories
• 6d/5d exceptional gauge theories from web diagrams
• Comments on Global Symmetries and Anomalies of $5d$ SCFTs
• Holomorphic Couplings In Non-Perturbative String Compactifications
• M5-branes, orientifolds, and S-duality
• Seiberg-Witten curves with O7${}^{\pm }$-planes
• Seiberg-Witten prepotential for E-string theory and global symmetries
• The Ruled Vertex and Nontoric del Pezzo Surfaces
• Phases of Five-dimensional Theories, Monopole Walls, and Melting Crystals
• Aspects of 5d Seiberg-Witten Theories on ${\mathbb{S}}^1$
• Refined topological vertex for a 5D $Sp(N)$ gauge theory with antisymmetric matter
• 5D N=1 super QFT: symplectic quivers
• N=1* in 5 dimensions: Dijkgraaf-Vafa meets Polchinski-Strassler
• A 5d perspective on the compactifications of 6d SCFTs to 4d $\mathcal{N}=1$ SCFTs
• Generating functions for intersection products of divisors in resolved F-theory models
• Exceptional complex structures and the hypermultiplet moduli of 5d Minkowski compactifications of M-theory
• Degenerations of K3, Orientifolds and Exotic Branes
• Quantum Geometry and $\theta$-Angle in Five-Dimensional Super Yang-Mills
• Local Gromov-Witten invariants of Blowups of Fano surfaces
• Solitons on Branes
• The NS limit of the 5D Superconformal Index
• The $U$-plane of rank-one 4d $\mathcal{N}=2$ KK theories
• Five-dimensional cohomological localization and squashed $q$-deformations of two-dimensional Yang-Mills theory
• Compactifying 5d superconformal field theories to 3d
• Quantum Deconstruction of 5D SQCD
• 3d $\mathcal{N}=2$ Brane Webs and Quiver Matrices
• B-brane transport in anomalous (2,2) models and localization
• Electric-Magnetic Duality in a Class of $G_2$-Compactifications of M-theory
• A note on D0-branes and instantons in 5d supersymmetric gauge theories
• Compactified Webs and Domain Wall Partition Functions
• Magnetic quivers from brane webs with O7${}^{+}$-planes
• Probing Quantum Curves and Transitions in 5d SQFTs via Defects and Blowup Equations
• Seiberg-Witten geometry, modular rational elliptic surfaces and BPS quivers
• OPE of line defects in 5d $E_n$ SCFT