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Quantization of Higher Abelian Gauge Theory in Generalized Differential Cohomology

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arxiv 1209.2530 v2 pith:NHLCAVNR submitted 2012-09-12 hep-th math.ATmath.DGmath.KT

classification hep-thmath.ATmath.DGmath.KT
keywords cohomologydifferentialgeneralizedtheoryabeliangaugehigherquantization
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We review and elaborate on some aspects of the quantization of certain classes of higher abelian gauge theories using techniques of generalized differential cohomology. Particular emphasis is placed on the examples of generalized Maxwell theory and Cheeger-Simons cohomology, and of Ramond-Ramond fields in Type II superstring theory and differential K-theory.

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  1. Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter

    cond-mat.mes-hall 2025-07 conditional novelty 5.0 of 10

    The Hopf invariants of 3D topological insulators are identified with Dixmier-Douady invariants of tensor Berry connections, which quantize magnetoelectric and shift-current responses.

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