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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An algebraic tensor ring decomposition converts Yang-Mills nonlinearities into tractable differential-algebraic ideals whose bifurcation analysis produces exact solutions including mass-gapped color waves, screened dyonic tubes, and chaotic SU(3) phases.
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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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Systematic Extraction of Exact Yang-Mills Solutions via Algebraic Tensor Ring Decomposition
An algebraic tensor ring decomposition converts Yang-Mills nonlinearities into tractable differential-algebraic ideals whose bifurcation analysis produces exact solutions including mass-gapped color waves, screened dyonic tubes, and chaotic SU(3) phases.