{ "id": "hep-th/9909067", "version": "v2", "published": "1999-09-10T14:46:19.000Z", "updated": "2000-01-10T12:30:44.000Z", "title": "Modular Transformations and Invariants in the Context of Fractional Level Affine sl(2|1;C)", "authors": [ "Gavin Johnstone" ], "comment": "LaTeX, 24 pages, clarification of invariants found, to appear in Nuclear Physics B", "journal": "Nucl.Phys. B577 (2000) 646-666", "doi": "10.1016/S0550-3213(99)00823-8", "categories": [ "hep-th" ], "abstract": "The modular transformation properties of admissible characters of the affine superalgebra sl(2|1;C) at fractional level k=1/u-1, u=2,3,... are presented. All modular invariants for u=2 and u=3 are calculated explicitly and an A-series and D-series of modular invariants emerge.", "revisions": [ { "version": "v2", "updated": "2000-01-10T12:30:44.000Z" } ], "analyses": { "subjects": [ "11.25.Hf", "11.25.Pm", "02.20.Tw" ], "keywords": [ "fractional level affine", "modular transformation properties", "modular invariants emerge", "affine superalgebra", "admissible characters" ], "tags": [ "journal article" ], "publication": { "publisher": "Elsevier", "journal": "Nucl. Phys. B" }, "note": { "typesetting": "LaTeX", "pages": 24, "language": "en", "license": "arXiv", "status": "editable", "inspire": 507017 } } }