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A Class of Topological Actions
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We review definitions of generalized parallel transports in terms of Cheeger-Simons differential characters. Integration formulae are given in terms of Deligne-Beilinson cohomology classes. These representations of parallel transport can be extended to situations involving distributions as is appropriate in the context of quantized fields.
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Cited by 2 Pith papers
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Symmetry TFTs from String Theory
Constructs Symmetry TFTs for M-theory compactifications by reducing the topological sector of 11d supergravity on the boundary of X using differential cohomology, with applications to 7d SYM and 5d SCFTs confirmed via...
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Reshetikhin-Turaev construction and $\mathrm{U}(1)^n$ Chern-Simons partition function
U(1)^n Chern-Simons partition functions coincide, up to normalization, with Reshetikhin-Turaev invariants built from a twisted (non-modular) category.
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