{
  "abstract": "The Lorentzian IIB matrix model provides a non-perturbative framework for emergent spacetime from matrix degrees of freedom. We study whether algebraic consistency constrains such structures by imposing restricted off-shell supersymmetry closure, modulo gauge transformations and explicitly identified trivial symmetries, on a CPT-even low-order effective-action ansatz with anisotropic background fields, without imposing their equations of motion. The zeroth-order Ward identity forces the scalar ansatz to be constant. At order two, retaining distinct macroscopic and internal transformation normalizations leads to a closure-compatible block-diagonal branch. On the nontrivial internal branch, Clifford-algebra identities force the internal non-Abelian flux to vanish. In four dimensions, a distinct dual-flux remainder can be absorbed into a Lorentz-type rotation when the macroscopic matrices form a non-degenerate coordinate sector. Within a linear absorption ansatz, the rank-three coefficient tensor is the Hodge dual of a vector. Macroscopic spatial isotropy selects its timelike orientation, yielding a $κ$-Minkowski-like algebra. Finite-dimensional Hermitian representations make the spatial sector trivial, so a nontrivial realization requires an infinite-dimensional limit with unbounded coordinate operators. The different weights of the spatial and internal generators under the adjoint action of $B_0$ are purely algebraic and are not interpreted as physical time evolution or dynamical compactification.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Nucl.Phys.B 1031 (2026) 117638",
  "arxiv": "2606.03496",
  "author_total": 1,
  "authors": [
    {
      "name": "Tetsuyuki Muramatsu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ark5eg4bz2ra4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.03496",
  "fulltext_url": null,
  "id": "ark5eg4bz2ra4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.03496",
  "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"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2606.03496",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ark5eg4bz2ra4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:00Z",
      "native_id": "2606.03496",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.03496"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Off-Shell Supersymmetry Algebra in the Lorentzian IIB Matrix Model: Algebraic Constraints and a $κ$-Minkowski-Like Sector",
  "title_text": "Off-Shell Supersymmetry Algebra in the Lorentzian IIB Matrix Model: Algebraic Constraints and a κ-Minkowski-Like Sector",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:00Z",
  "url": "https://research.draconitic.com/paper/ark5eg4bz2ra4",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1016/j.nuclphysb.2026.117638",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}