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

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
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preprint

Mitchell's Laws: the duality covariance table of the flux landscape

Rob Mitchell
3 links
Zenodo (CERN European Organization for Nuclear Research)
Black Holes and Theoretical Physics
preprint

Mitchell's Laws: the duality covariance table of the flux landscape

Rob Mitchell
preprint en

Abstract

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.

Zenodo (CERN European Organization for Nuclear Research)
Black Holes and Theoretical Physics
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Mitchell's Laws: the duality covariance table of the flux landscape — Rob Mitchell · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS