VOAs and rank-two instanton SCFTs

Understand

We analyze the N=2 superconformal field theories that arise when a pair of D3-branes probe an F-theory singularity from the perspective of the associated vertex operator algebra.

• We identify these vertex operator algebras for all cases; we find that they have a completely uniform description, parameterized by the dual Coxeter number of the corresponding global symmetry group.
• We further present free field realizations for these algebras in the style of recent work by three of the authors.
• These realizations transparently reflect the algebraic structure of the Higgs branches of these theories.