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• W2020172854 abstract "General field theoretic methods are developed which will allow a path integral derivation of the character formula for loop groups. The methods are introduced in the classical Weyl character case. The irreducible representations of a compact semi-simple Lie group G are realized as the ground states of a supersymmetric quantum mechanical system. The Hilbert space for the quantum mechanical system is the space of sections of a holomorphic line bundle L over the complex manifold G/T, where T is the maximal torus of G. The Weyl character formula is derived by an explicit path integral computation of the index of the Dolbeault operator ∂L." @default.
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• W2020172854 date "1990-06-01" @default.
• W2020172854 modified "2023-10-16" @default.
• W2020172854 title "Quantum mechanics and the geometry of the Weyl character formula" @default.
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• W2020172854 doi "https://doi.org/10.1016/0550-3213(90)90278-l" @default.
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