6d strings and exceptional instantons

Abstract

We propose new ADHM-like methods to compute the Coulomb branch instanton partition functions of 5d and 6d supersymmetric gauge theories, with certain exceptional gauge groups or exceptional matters. We study $G_2$ theories with $n_7\le 3$ matters in $7$, and $SO(7)$ theories with $n_8\le 4$ matters in the spinor representation $8$. We also study the elliptic genera of self-dual instanton strings of 6d SCFTs with exceptional gauge groups or matters, including all non-Higgsable atomic SCFTs with rank $2$ or $3$ tensor branches. Some of them are tested with topological vertex calculus. We also explore a D-brane-based method to study instanton particles of 5d $SO(7)$ and $SO(8)$ gauge theories with matters in spinor representations, which further tests our ADHM-like proposals.

65 pages, 25 figures

References in corpus (20)

• 5-dim Superconformal Index with Enhanced En Global Symmetry
• Anomaly polynomial of general 6d SCFTs
• Witten Index and Wall Crossing
• N=1 Deformations and RG Flows of N=2 SCFTs
• Defects and Quantum Seiberg-Witten Geometry
• N=1 Deformations and RG Flows of N=2 SCFTs, Part II: Non-principal deformations
• Lagrangians for generalized Argyres-Douglas theories
• Coulomb Branch and The Moduli Space of Instantons
• 6d, N=(1,0) Coulomb Branch Anomaly Matching
• N=1 Lagrangians for generalized Argyres-Douglas theories
• 5-brane webs for 5d $\mathcal{N}=1$ $G_2$ gauge theories
• Universal Features of BPS Strings in Six-dimensional SCFTs
• Topological Strings on Singular Elliptic Calabi-Yau 3-folds and Minimal 6d SCFTs
• Anomaly of strings of 6d $\mathcal{N}=(1,0)$ theories
• An Index Formula for Supersymmetric Quantum Mechanics
• Duality walls and defects in 5d N=1 theories
• 6d strings from new chiral gauge theories
• On elliptic genera of 6d string theories
• On the Jeffrey-Kirwan residue of BCD-instantons
• Testing 5d-6d dualities with fractional D-branes

Cited by in corpus (20)

• LieART 2.0 -- A Mathematica Application for Lie Algebras and Representation Theory
• Chern-Weil Global Symmetries and How Quantum Gravity Avoids Them
• Revisiting the classifications of 6d SCFTs and LSTs
• Elliptic Blowup Equations for 6d SCFTs. II: Exceptional Cases
• Bootstrapping BPS spectra of 5d/6d field theories
• 5d/6d Wilson loops from blowups
• Instanton counting and O-vertex
• Elliptic Blowup Equations for 6d SCFTs. IV: Matters
• Quasi-Jacobi Forms, Elliptic Genera and Strings in Four Dimensions
• Topological strings and Wilson loops
• ABCD of 't Hooft operators
• 6d/5d exceptional gauge theories from web diagrams
• S-foldings of 5d SCFTs
• Refined topological vertex for a 5D $Sp(N)$ gauge theory with antisymmetric matter
• Weyl invariant Jacobi forms along Higgsing trees
• Instantons on Young diagrams with matters
• Monopole Breaking of Chern-Weil Symmetries
• Bootstrapping ADE M-strings
• Affine characters at negative level and elliptic genera of non-critical strings
• More on 5d Wilson Loops in Higher-Rank Theories and Blowup Equations