Mitchell's Laws: the duality covariance table of the flux landscape
The constraint-first theorem proves the D3 tadpole is the only exact duality-invariant of the IIB flux, so the invariant ring is C[N] and no exact polynomial invariant selector can single out a vacuum. This paper measures how the surviving observables move under the duality that fixes them: on 100 primitive supersymmetric flux vacua, the transformation law of W and g_s under SL(2,Z). Every law carries a named falsifier; code and data are public.
Authors
- Rob Mitchell
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-11-06
- DOI
- https://doi.org/10.5281/zenodo.24002951
- Primary Topic
- Black Holes and Theoretical Physics
- Type
- preprint