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A HIGHER CHERN–WEIL DERIVATION OF AKSZ σ-MODELS

A HIGHER CHERN–WEIL DERIVATION OF AKSZ σ-MODELS

Chern–Weil theory provides for each invariant polynomial on a Lie algebra 𝔤 a map from 𝔤-connections to differential cocycles whose volume holonomy is the corresponding Chern–Simons theory action functional. Kotov and Strobl have observed that this naturally generalizes from Lie algebras to dg-manifolds and to dg-bundles and that the Chern–Simons …