Holographic partition function of democratic M-theory
Abstract
We study the partition function associated with the democratic formulation of M-theory, focusing on its global definition and quantum properties. Using a path-integral representation that makes manifest the underlying cohomological structure, we analyze the coupled system of M-theory form fields , and the background fields , as well as their associated global transformations. We show that the resulting description is naturally captured by a Heisenberg-type group reflecting the presence of a quadratic coupling between electric and magnetic degrees of freedom. This framework provides a transparent characterization of the global structure of the theory, clarifies the role of higher-form global symmetry, and allows for a consistent definition of the partition function in terms of higher-dimensional auxiliary manifolds.
Keywords
Cite
@article{arxiv.2512.21741,
title = {Holographic partition function of democratic M-theory},
author = {J. A. Rosabal},
journal= {arXiv preprint arXiv:2512.21741},
year = {2026}
}
Comments
Improved presentation; last appendix revised and moved to the main text; references added; typos corrected (no change to results)