{
  "abstract": "We study supersymmetric boundary dynamics in AdS$_3$ gravity by treating boundary conditions as constrained reductions of a generic Chern-Simons boundary phase space. We focus on how the constraint structure controls the locality and physical field content of the reduced asymptotic symmetry algebra. For supersymmetric Kac--Moody boundary conditions, the surviving bosonic currents remain local, whereas the fermion--fermion Dirac bracket contains the inverse of a field-dependent first-order differential operator and is therefore intrinsically non-local. Imposing an additional fermionic constraint reveals a further structure: after the bosonic second-class reduction, it becomes first class and generates a fermionic gauge redundancy. Generically the remaining fermionic field can be gauged away, while special backgrounds with periodic zero modes support non-trivial physical fermionic sectors. We further employ the Batalin--Fradkin--Tyutin formalism to eliminate the non-locality of the reduced symmetry algebra by converting the second-class constraints into an equivalent local first-class system on an enlarged phase space.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.20112",
  "author_total": 4,
  "authors": [
    {
      "name": "Nabamita Banerjee"
    },
    {
      "name": "Vedant Bhutra"
    },
    {
      "name": "Suvankar Dutta"
    },
    {
      "name": "Soumava Kundu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dd1e5qwtrxt77.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.20112",
  "fulltext_url": null,
  "id": "dd1e5qwtrxt77",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.20112",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7213592776",
  "pdf_url": "https://arxiv.org/pdf/2609.20112",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dd1e5qwtrxt77.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:48Z",
      "native_id": "2609.20112",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.20112"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Supersymmetric boundary algebras in AdS$_3$ gravity: constraints, Dirac brackets and non-locality",
  "title_text": "Supersymmetric boundary algebras in AdS_3 gravity: constraints, Dirac brackets and non-locality",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:48Z",
  "url": "https://research.draconitic.com/paper/dd1e5qwtrxt77",
  "venue": "arXiv",
  "versions": []
}