Schreiber Higher local prequantum field theory

This is a set of notes on ∞-Chern-Simons theory formulated as a local prequantum field theory in the context of differential cohomology in a cohesive topos:

• Domenico Fiorenza, Urs Schreiber, Hisham Sati et al.

  Higher Chern-Simons local prequantum field theory

  (pdf)

This is inspired from observations in

• Domenico Fiorenza, Alessandro Valentino, Boundary conditions in local TFTs (in preparation)

An introduction to some of the fundamental aspects is at geometry of physics in the section on prequantum field theory.

Related projects

• differential cohomology in a cohesive topos

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    • Quantum gauge field theory in Cohesive homotopy type theory

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    • Twisted differential structures

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  • ∞-Wess-Zumino-Witten theory

    • The brane bouquet

  • Higher geometric prequantum theory

    • L-∞ algebras of local observables from higher prequantum bundles

    • Higher Chern-Simons local prequantum field theory