{
  "abstract": "We analyze the covariant phase space of Klusoň's canonical Carroll non-BPS D$_p$-brane actions. The Carroll limit is formulated as a contraction of the canonical phase space: the canonical one-form is invariant under the scaling of conjugate pairs, while the leading Hamiltonian constraint differs between the electric-like and magnetic-like sectors. This difference controls the weak closure of the electric-like constraint algebra and the stronger closure of the magnetic-like Hamiltonian brackets. We separate the generic non-BPS sector, which carries $D-1$ local phase-space degrees of freedom, from the tachyon-vacuum sector, which carries $D-2$ only after imposing second-class background conditions. We also identify the rank condition for the generic electric-like sector and its strengthening in the vacuum sector. Finally, we show that the Carroll--Weyl $χ$ transformation, the matter-sector analogue of the null-string Carroll--Weyl symmetry, preserves the symplectic form and admits a charge, but is obstructed by the constraints and cannot be promoted to a first-class gauge generator except in highly restricted corners, a global vacuum sector or the singular potential $V\\propto T^{-1}$ at $p=1$. The obstruction is algebraic in $χ$, so no restriction of its spacetime profile can remove it. This contrasts with null string theory, where a restricted $χ$-symmetry can be completed to an additional first-class constraint.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.08874",
  "author_total": 1,
  "authors": [
    {
      "name": "Limin Zeng"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/79ykrx51zccgz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.08874",
  "fulltext_url": null,
  "id": "79ykrx51zccgz",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.08874",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7212027443",
  "pdf_url": "https://arxiv.org/pdf/2609.08874",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/79ykrx51zccgz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:34Z",
      "native_id": "2609.08874",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.08874"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Covariant Phase Space and Carroll-Weyl $χ$ Symmetry of Carroll Non-BPS D$_p$-branes",
  "title_text": "Covariant Phase Space and Carroll-Weyl χ Symmetry of Carroll Non-BPS D_p-branes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:38Z",
  "url": "https://research.draconitic.com/paper/79ykrx51zccgz",
  "venue": "arXiv",
  "versions": []
}