Coupling of two conformal field theories and Nakajima-Yoshioka blow-up equations

Abstract

We study the conformal vertex algebras which naturally arise in relation to the Nakajima-Yoshioka blow-up equations.

23 pages v2. 24 pages, references added, proofs in section 3 are expanded, many typos corrected

References in corpus (1)

• Bilinear equations on Painleve tau functions from CFT

Cited by in corpus (8)

• $\mathcal{W}$-algebra Modules, Free Fields, and Gukov-Witten Defects
• Exact results for $\mathcal{N}=2$ supersymmetric gauge theories on compact toric manifolds and equivariant Donaldson invariants
• Painleve equations from Nakajima-Yoshioka blowup relations
• Quantum spectral problems and isomonodromic deformations
• Irregular conformal blocks, Painlevé III and the blow-up equations
• Whittaker vectors for $\mathcal{W}$-algebras from topological recursion
• More on 5d Wilson Loops in Higher-Rank Theories and Blowup Equations
• Highest-weight vectors and three-point functions in GKO coset decomposition