{
  "abstract": "A bstract : We construct an intrinsic N = 1, D = 5 superspace whose Grassmann coordinate is a five-dimensional Dirac spinor decomposed into two four-dimensional Majorana spinors, $$ \\Theta =\\theta +i\\overset{\\sim }{\\theta } $$ Θ = θ + i θ ~ , and use it to analyze the supersymmetric structure of the five-dimensional Kalb-Ramond (KR) topological term. The supersymmetry algebra closes on the fifth momentum through anticommutators of opposite-sector generators, realizing ∂ ₅ as a central charge in the sense of Sohnius; we show that this assignment is the unique covariant one, and we give an explicit dictionary to the N = 1/2 superspace of Linch, Luty and Phillips and to the four-dimensional N = 1 superform hierarchies of Becker, Becker, Linch, Randall and Robbins. Two structural results follow. First, a tensor multiplet subjected to both available same-side chirality conditions cannot propagate in the fifth dimension; the KR multiplet is therefore described by a singly chiral spinor superfield whose composite field strength T 5 α = ∂ ₅ B α + W α ( V T ) realizes the single-chain tensor hierarchy with differential ∂ ₅ , and the supersymmetric completion of the topological term is the corresponding BF -type quadratic invariant, whose component form agrees, up to normalization conventions, with the pseudo-supersymmetric action. Second, we correct the six-dimensional origin of the topological term, S ₆ = ∫ dϕ ∧ B ∧ H , and show that for the KR field alone the five-dimensional term is a total derivative and leaves the Kaluza-Klein tower undeformed. After the superfield-level identification B m 5 → A m , however, the mixed topological term becomes a genuine BF coupling between independent multiplets, and the Kaluza-Klein spectrum splits exactly into $$ {m}_{n,\\pm}^2={\\left(\\sqrt{n^2/{R}^2+{M}^2}\\pm M\\right)}^2 $$ m n , ± 2 = n 2 / R 2 + M 2 ± M 2 , with M fixed by the topological coupling: the zero mode acquires a topological mass 2 M , and the excited towers are displaced by the constant ±M relative to bulk fields that share the compactification radius but lack the coupling. This relative deformation cannot be absorbed into a redefinition of R and constitutes a sharp, calculable prediction for compactification on S ¹ . On the orbifold S ¹ / ℤ ₂ relevant to brane worlds the situation is qualitatively different, and we show that it is controlled by supersymmetry: the gauge structure of the hierarchy correlates the ℤ ₂ parities of the two multiplets, the topological term is parity-odd, and a constant coupling is projected out, so that the deformation is governed by a coupling of the kink type — precisely the one generated by the six-dimensional parent action — and becomes second order in the coupling, with brane-localized contributions at the fixed points.",
  "abstract_shown": true,
  "affiliations": [
    "Universidade Federal Rural do Semi-Árido (UFERSA)",
    "Universidade Federal do Ceará, Departamento de Física"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "L. A. S. Nunes",
      "orcid": "0000-0002-5357-1689"
    },
    {
      "affs": [
        1
      ],
      "name": "C. A. S. Almeida",
      "orcid": "0000-0002-4841-761X"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c6g1ms40pg91v.bib",
  "cited_by": 0,
  "doi": "10.1007/jhep10(2026)235",
  "fulltext_url": "https://doi.org/10.1007/JHEP10(2026)235",
  "id": "c6g1ms40pg91v",
  "issns": [
    "1029-8479"
  ],
  "landing_url": "https://link.springer.com/article/10.1007/JHEP10(2026)235",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0",
  "metadata_licence": null,
  "native_subjects": [
    [
      "lcc",
      "QC770-798"
    ],
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      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7138877466",
  "pdf_url": "https://link.springer.com/content/pdf/10.1007/JHEP10(2026)235.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": "Springer Science and Business Media LLC",
  "ris": "https://research.draconitic.com/paper/c6g1ms40pg91v.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:01Z",
      "native_id": "10.1007/jhep10(2026)235",
      "source": "crossref",
      "url": "https://link.springer.com/article/10.1007/JHEP10(2026)235"
    },
    {
      "first_seen": "2026-10-30T13:45:33Z",
      "native_id": "473f8109ab444e80ac67847ab61e4523",
      "source": "doaj",
      "url": "https://doi.org/10.1007/jhep10(2026)235"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "openalex:3106|Black Holes and Theoretical Physics",
      "subfield": "high-energy"
    }
  ],
  "title": "Kalb-Ramond topological term in Majorana superspace and Kaluza-Klein spectrum deformation in five dimensions",
  "title_text": "Kalb-Ramond topological term in Majorana superspace and Kaluza-Klein spectrum deformation in five dimensions",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T13:45:33Z",
  "url": "https://research.draconitic.com/paper/c6g1ms40pg91v",
  "venue": "Journal of High Energy Physics",
  "versions": []
}