An explicit Poisson vertex algebra A is proposed as the perturbative holomorphic-topological observables of pure SU(2) Seiberg-Witten theory; its series refines the Schur index and a differential Q_inst is introduced whose cohomology is hypothesized to capture non-perturbative corrections.
Poisson Vertex Algebras and Three- Dimensional Gauge Theory
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A 3D QFT is defined with infinite-dimensional topological-holomorphic symmetry from a centrally extended affine graded Lie algebra, yielding a raviolo vertex algebra for its local operators after radial quantization.
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Poisson Vertex Algebra of Seiberg-Witten Theory
An explicit Poisson vertex algebra A is proposed as the perturbative holomorphic-topological observables of pure SU(2) Seiberg-Witten theory; its series refines the Schur index and a differential Q_inst is introduced whose cohomology is hypothesized to capture non-perturbative corrections.
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Infinite Dimensional Topological-Holomorphic Symmetry in Three-Dimensions
A 3D QFT is defined with infinite-dimensional topological-holomorphic symmetry from a centrally extended affine graded Lie algebra, yielding a raviolo vertex algebra for its local operators after radial quantization.