Relating Hodge Atoms, Spectral Triples, and BPS Flows

Fuente: arXiv
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Auteur principal: Raugas, Mark
Format: Preprint
Publié: 2026
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author Raugas, Mark
author_facet Raugas, Mark
contents We compare algebraic and analytic pictures relevant to the study of birational invariants. Motivated by recent advances in the development of non-commutative Hodge structures, we examine their implication for quiver gauge field theory on the cubic fourfold. By interpreting the semiorthogonal property as a dynamical selection rule, we conjecture that the K3 Hodge atom of the cubic fourfold represents a protected quantum phase whose spectra remain invariant under non-perturbative tunneling processes.
format Preprint
id arxiv_https___arxiv_org_abs_2603_16639
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Relating Hodge Atoms, Spectral Triples, and BPS Flows
Raugas, Mark
High Energy Physics - Theory
Algebraic Geometry
81T30 (Primary), 14E08, 14D05, 14J35 (Secondary)
We compare algebraic and analytic pictures relevant to the study of birational invariants. Motivated by recent advances in the development of non-commutative Hodge structures, we examine their implication for quiver gauge field theory on the cubic fourfold. By interpreting the semiorthogonal property as a dynamical selection rule, we conjecture that the K3 Hodge atom of the cubic fourfold represents a protected quantum phase whose spectra remain invariant under non-perturbative tunneling processes.
title Relating Hodge Atoms, Spectral Triples, and BPS Flows
topic High Energy Physics - Theory
Algebraic Geometry
81T30 (Primary), 14E08, 14D05, 14J35 (Secondary)
url https://arxiv.org/abs/2603.16639