Double Quiver Gauge Theory and BPS/CFT Correspondence

Abstract

We provide a formalism using the $q$-Cartan matrix to compute the instanton partition function of quiver gauge theory on various manifolds. Applying this formalism to eight dimensional setups, we introduce the notion of double quiver gauge theory characterized by a pair of quivers. We also explore the BPS/CFT correspondence in eight dimensions based on the $q$-Cartan matrix formalism.

References in corpus (30)

• Liouville Correlation Functions from Four-dimensional Gauge Theories
• D-branes, Quivers, and ALE Instantons
• D-particle bound states and generalized instantons
• Exact Results in ABJM Theory from Topological Strings
• Issues in Topological Gauge Theory
• Witten Index and Wall Crossing
• D-particles, Matrix Integrals and KP hierachy
• Para-Liouville/Toda central charges from M5-branes
• Issues on Orientifolds: On the brane construction of gauge theories with SO(2n) global symmetry
• Multi instanton calculus on ALE spaces
• Super Liouville conformal blocks from N=2 SU(2) quiver gauge theories
• D_n Quivers From Branes
• BPS/CFT correspondence II: Instantons at crossroads, Moduli and Compactness Theorem
• Gauge Theories on ALE Space and Super Liouville Correlation Functions
• Instantons on ALE spaces and Super Liouville Conformal Field Theories
• Line defects and 5d instanton partition functions
• Exotic instanton counting and heterotic/type I' duality
• Zero-dimensional Donaldson-Thomas invariants of Calabi-Yau 4-folds
• $K$-theoretic DT/PT correspondence for toric Calabi-Yau 4-folds
• ADHM Revisited: Instantons and Wilson Lines
• Coulomb branches of quiver gauge theories with symmetrizers
• A Combinatorial Study on Quiver Varieties
• Classical solutions for exotic instantons?
• ADHM in 8d, coloured solid partitions and Donaldson-Thomas invariants on orbifolds
• Tetrahedron instantons
• Super instanton counting and localization
• Beta-ensembles for toric orbifold partition function
• Quiver ${\text{W}}_{{\epsilon }_1,{\epsilon }_2}$ algebras of 4d $\mathcal{N}=2$ gauge theories
• Integrating over quiver variety and BPS/CFT correspondence
• Supersymmetric Wilson Loops, Instantons, and Deformed $\mathcal{W}$-Algebras

Cited by in corpus (3)

• Quantum toroidal algebras and solvable structures in gauge/string theory
• A Donaldson-Thomas crepant resolution conjecture on Calabi-Yau 4-folds
• Non-perturbative Symmetries of Little Strings and Affine Quiver Algebras