{
  "annotation_id": "ab19bb49-b350-4e43-9449-1c9bd37bd7c2",
  "date_created": "2026-02-17T05:53:26.423000Z",
  "date_modified": "2026-02-17T05:53:26.423000Z",
  "file_hash": "4f2b1ed14c024e1ca746715a2a6cc32204c9dfc8443b7a597062b116f4dddb55",
  "private": false,
  "record": {
    "abstract": "We give an overview of the construction of Borcherds algebras, particularly the Monstrous Lie algebras $\\mathfrak m_g$ constructed by Carnahan, where $g$ is an element of the Monster finite simple group. When $g$ is the identity element, $\\mathfrak m_g$ is the Monster Lie algebra of Borcherds. We discuss the appearance of the $\\mathfrak m_g$ in compactified models of the Heterotic String. We also summarize recent work on associating Lie group analogs to the Lie algebras $\\mathfrak m_g$. We include a discussion of some open problems.",
    "arxiv_id": "2601.10653",
    "authors": [
      "Lisa Carbone"
    ],
    "categories": [
      "math.QA",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Symmetries of Borcherds algebras",
    "url": "https://arxiv.org/abs/2601.10653",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3d087052-bcf5-49cb-b878-1f2dc96b07b8",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}