Flux Quantization of Type IIA in Unstable K-Theory
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910252513886208 |
|---|---|
| author | Banerjee, Pinak Sati, Hisham Schreiber, Urs |
| author_facet | Banerjee, Pinak Sati, Hisham Schreiber, Urs |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_25035 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Flux Quantization of Type IIA in Unstable K-Theory Banerjee, Pinak Sati, Hisham Schreiber, Urs High Energy Physics - Theory Mathematical Physics Algebraic Topology K-Theory and Homology Primary: 8E50, 81T30, 19L50, Secondary: 55N20, 55R35, 55P62 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. |
| title | Flux Quantization of Type IIA in Unstable K-Theory |
| topic | High Energy Physics - Theory Mathematical Physics Algebraic Topology K-Theory and Homology Primary: 8E50, 81T30, 19L50, Secondary: 55N20, 55R35, 55P62 |
| url | https://arxiv.org/abs/2605.25035 |