Paper

{
  "raw_xml": "<entry>\n    <id>http://arxiv.org/abs/2602.22503v1</id>\n    <title>A Perfectoid Duality Between M-Theory and F-Theory</title>\n    <updated>2026-02-26T00:45:17Z</updated>\n    <link href='https://arxiv.org/abs/2602.22503v1' rel='alternate' type='text/html'/>\n    <link href='https://arxiv.org/pdf/2602.22503v1' rel='related' title='pdf' type='application/pdf'/>\n    <summary>We present a non-singular, definition-level formulation of F-theory by replacing the traditional shrinking-fiber limit of M-theory with compactification on a tower-completed circle described using perfectoid geometry and condensed mathematics. This construction provides an intrinsic eleven-dimensional carrier for modular data and admits a canonical tilting and comparison procedure that yields elliptic geometry as an output rather than an auxiliary input. Using this framework, we establish a precise M-theory/Type IIB dictionary in the constant-coupling sector, showing how the physical axio-dilaton is fixed by eleven-dimensional geometric and topological data. The correspondence is tested at the level of the ten-dimensional bosonic effective action, including its topological couplings inherited from eleven dimensions. The tower-completed geometry naturally organizes global sectors in generalized cohomology, with charge data governed by K-theory and exhibiting a canonical prime-power torsion structure. We further show how this framework extends to varying-coupling backgrounds and duality defects, admits a natural adelic completion with prime-independence, and generalizes to higher-rank and U-duality geometries. We also discuss holographic aspects and the anomaly-refined extension of the duality group beyond the bosonic truncation. Together, these results provide a coherent, non-singular foundation for F-theory and its extensions.</summary>\n    <category scheme='http://arxiv.org/schemas/atom' term='hep-th'/>\n    <category scheme='http://arxiv.org/schemas/atom' term='math-ph'/>\n    <category scheme='http://arxiv.org/schemas/atom' term='math.AG'/>\n    <published>2026-02-26T00:45:17Z</published>\n    <arxiv:comment>109 pages, published in Nucl Phys B 2026</arxiv:comment>\n    <arxiv:primary_category term='hep-th'/>\n    <arxiv:journal_ref>Nuclear Physics B 1024 (2026) 117355</arxiv:journal_ref>\n    <author>\n      <name>Arshid Shabir</name>\n    </author>\n    <author>\n      <name>Bobby Eka Gunara</name>\n    </author>\n    <author>\n      <name>Mir Faizal</name>\n    </author>\n    <arxiv:doi>10.1016/j.nuclphysb.2026.117355</arxiv:doi>\n    <link href='https://doi.org/10.1016/j.nuclphysb.2026.117355' rel='related' title='doi'/>\n  </entry>"
}