Instantons and affine Lie algebras
Copyright policy )Instantons and affine Lie algebras
Various constructions of the affine Lie algebra action on the homology group of moduli spaces of instantons on 4-manifolds are discussed. The analogy between the local-global principle and the role of mass is also explained. The detailed proofs are given in separated papers \cite{Na-algebra,Na-Hilbert}.
12 pages, AMSLaTeX v 1.1
- University of Tokyo Japan
High Energy Physics - Theory, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Infinite-dimensional Lie groups and their Lie algebras: general properties, FOS: Physical sciences, Parametrization (Chow and Hilbert schemes), Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Mathematics - Algebraic Geometry, High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, FOS: Mathematics, Geometric class field theory, Quantum Algebra (math.QA), Algebraic Geometry (math.AG)
High Energy Physics - Theory, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Infinite-dimensional Lie groups and their Lie algebras: general properties, FOS: Physical sciences, Parametrization (Chow and Hilbert schemes), Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Mathematics - Algebraic Geometry, High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, FOS: Mathematics, Geometric class field theory, Quantum Algebra (math.QA), Algebraic Geometry (math.AG)
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