[
    {
        "id": "authors:h9242-70040",
        "collection": "authors",
        "collection_id": "h9242-70040",
        "cite_using_url": "https://authors.library.caltech.edu/records/h9242-70040",
        "type": "article",
        "title": "A Lie Algebraic Pattern Behind Logarithmic CFTs",
        "author": [
            {
                "family_name": "Sugimoto",
                "given_name": "Shoma",
                "orcid": "0000-0003-3339-466X",
                "clpid": "Sugimoto-Shoma"
            },
            {
                "family_name": "Li",
                "given_name": "Hao"
            }
        ],
        "abstract": "<p>We introduce a purely Lie algebraic formalization of the Feigin&ndash;Tipunin&rsquo;s geometric construction of logarithmic CFTs/VOAs. After reformulating the geometric representation theory of FT construction under this new setting, within this framework, we uniformly construct the (multiplet) principal W-algebras at positive integer level associated with any simple Lie algebra g<span class=\"mathjax-tex\"><span class=\"MathJax_SVG\"></span></span> and Lie superalgebra osp(1|2r), thereby establishing Weyl-type character formulas and simplicity theorems that extend the first author&rsquo;s previous results.</p>",
        "doi": "10.1007/s00220-026-05726-x",
        "issn": "0010-3616",
        "publisher": "Springer Science and Business Media LLC",
        "publication": "Communications in Mathematical Physics",
        "publication_date": "2026-10",
        "series_number": "10",
        "volume": "407",
        "issue": "10",
        "pages": "202"
    }
]