Vertex algebras and 4-manifold invariants

2017/05/03 by Mykola Dedushenko, Sergei Gukov, Dedushenko, Mykola +3
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1705.01645

openalex publication_date 2017/05/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a way of computing 4-manifold invariants, old and new, as chiral correlation functions in half-twisted 2d N=(0,2) theories that arise from compactification of fivebranes. Such formulation gives a new interpretation of some known statements about Seiberg-Witten invariants, such as the basic class condition, and gives a prediction for structural properties of the multi-monopole invariants and their non-abelian generalizations.

Related

• Four-Manifold Invariants and Donaldson-Witten Theory
• Topological quantum field theory and four-manifolds
• Fivebranes and 4-manifolds
• Four-manifolds and Symmetry Categories of 2d CFTs
• 4-manifolds and topological modular forms