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These representations are quotients of induced modules over the affine Kac\u2013Moody algebra $\\widehat{\\mathfrak{s}\\mathfrak{l}}_{n+1} $ and include in particular all admissible simple highest weight modules and all simple modules induced from $\\mathfrak{s}\\mathfrak{l}_2$. Any such simple module in the minimal nilpotent orbit has bounded weight multiplicities.<\/jats:p>","DOI":"10.1093\/imrn\/rnab159","type":"journal-article","created":{"date-parts":[[2021,5,24]],"date-time":"2021-05-24T15:12:13Z","timestamp":1621869133000},"page":"15788-15825","source":"Crossref","is-referenced-by-count":0,"title":["Simple Modules for Affine Vertex Algebras in the Minimal Nilpotent Orbit"],"prefix":"10.1093","volume":"2022","author":[{"given":"Vyacheslav","family":"Futorny","sequence":"first","affiliation":[{"name":"Instituto de Matem\u00e1tica e Estat\u00edstica , Universidade de S\u00e3o Paulo, S\u00e3o Paulo 05315-970,","place":["Brazil"]},{"name":"International Center for Mathematics , SUSTech, Shenzhen 518055,","place":["China"]}]},{"given":"Oscar Armando","family":"Hern\u00e1ndez Morales","sequence":"additional","affiliation":[{"name":"Instituto de Matem\u00e1tica e Estat\u00edstica , Universidade de S\u00e3o Paulo, S\u00e3o Paulo 05315-970,","place":["Brazil"]}]},{"given":"Luis Enrique","family":"Ramirez","sequence":"additional","affiliation":[{"name":"Universidade Federal do ABC , Santo Andr\u00e9 09210-580,","place":["Brazil"]}]}],"member":"286","published-online":{"date-parts":[[2021,7,5]]},"reference":[{"key":"2026041420031980500_ref1","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1007\/s00031-015-9349-2","article-title":"A realization of certain modules for the $N=4$ superconformal algebra and the affine Lie algebra $A_2^{(1)}$","volume":"21","author":"Adamovi\u0107","year":"2016","journal-title":"Transform. 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