{ "id": "2301.04028", "version": "v1", "published": "2023-01-10T15:25:25.000Z", "updated": "2023-01-10T15:25:25.000Z", "title": "On the characters of a certain series of N=4 superconformal modules", "authors": [ "Minoru Wakimoto" ], "categories": [ "math.RT" ], "abstract": "In this paper we study the N=4 superconformal modules obtained from the quantum Hamiltonian reduction of principal admissible representations of the affine Lie superalgebra $\\hat{A}(1,1)$, and show that there exists a series of N=4 superconformal modules whose characters are modular functions and written explicitly by the Mumford's theta functions.", "revisions": [ { "version": "v1", "updated": "2023-01-10T15:25:25.000Z" } ], "analyses": { "keywords": [ "superconformal modules", "characters", "mumfords theta functions", "quantum hamiltonian reduction", "affine lie superalgebra" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }