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nilpotent saddles separated by a nonregular line
Flux Quantization of Type IIA in Unstable K-Theory
Pinak Banerj · 2026-05-26 · via math updates on arXiv.org

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Abstract:The traditional conjecture that RR-flux is quantized in stable K-cohomology fails to account for the presence of NS-brane sources: These impose nonlinear relations -- reductions of the famous quadratic relation on M-brane flux -- that can only be captured by unstable nonabelian cohomology theories. Here we consider a deformation of unstable K-theory which properly quantizes the fluxes coupling to D0/D2/NS5-branes, find a twisted version that quantizes also the fluxes coupling to NS1/D4-branes, and show that this oxidizes to a proper electromagnetic quantization of M-brane fluxes.
Comments: 26 pages, 3 figures
Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Algebraic Topology (math.AT); K-Theory and Homology (math.KT)
MSC classes: Primary: 8E50, 81T30, 19L50, Secondary: 55N20, 55R35, 55P62
Cite as: arXiv:2605.25035 [hep-th]
  (or arXiv:2605.25035v1 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2605.25035

arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Urs Schreiber [view email]
[v1] Sun, 24 May 2026 12:23:12 UTC (43 KB)