{"id":624,"date":"2018-10-26T09:05:00","date_gmt":"2018-10-26T07:05:00","guid":{"rendered":"http:\/\/bela.phy.hr\/quantixlie\/?p=624"},"modified":"2018-10-26T09:06:49","modified_gmt":"2018-10-26T07:06:49","slug":"an-application-of-collapsing-levels-to-the-representation-theory-of-affine-vertex-algebras","status":"publish","type":"post","link":"http:\/\/bela.phy.hr\/quantixlie\/hr\/an-application-of-collapsing-levels-to-the-representation-theory-of-affine-vertex-algebras\/","title":{"rendered":"An Application of Collapsing Levels to the Representation Theory of Affine Vertex Algebras"},"content":{"rendered":"
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Authors:<\/strong>\u00a0Dra\u017een Adamovi\u0107,<\/span>\u00a0Victor G Kac,<\/span>\u00a0Pierluigi M\u00f6seneder Frajria,<\/span>\u00a0Paolo Papi,<\/span>\u00a0Ozren Per\u0161e<\/span><\/div>\n<\/div>\n
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International Mathematics Research Notices<\/em>, rny237,<\/div>\n
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https:\/\/doi.org\/10.1093\/imrn\/rny237<\/a><\/div>\n<\/div>\n<\/div>\n
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Abstract:<\/strong>\u00a0We discover a large class of simple affine vertex algebras \"V_k(\mathfrak{g})\", associated to basic Lie superalgebras\u00a0\"\mathfrak{g}\" at non-admissible collapsing levels \"k\", having exactly one irreducible\u00a0\"\mathfrak{g}\"-locally finite module in the category \"\mathcal{O}\". In the case when\u00a0\"\mathfrak{g}\" is a Lie algebra, we prove a complete reducibility result for \"V_k(\mathfrak{g})\"-modules at an arbitrary collapsing level. We also determine the generators of the maximal ideal in the universal affine vertex algebra \"V_k(\mathfrak{g})\" at certain negative integer levels. Considering some conformal embeddings in the simple affine vertex algebras \"V_{-\frac{1}{2}}(C_n)\" and \"V_{-4}(E_7)\", we surprisingly obtain the realization of non-simple affine vertex algebras of types \"B\" and \"D\" having exactly one nontrivial ideal.<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Authors:\u00a0Dra\u017een Adamovi\u0107,\u00a0Victor G Kac,\u00a0Pierluigi M\u00f6seneder Frajria,\u00a0Paolo Papi,\u00a0Ozren Per\u0161e International Mathematics Research Notices, rny237, https:\/\/doi.org\/10.1093\/imrn\/rny237 Abstract:\u00a0We discover a large class of simple affine vertex algebras , associated to basic Lie superalgebras\u00a0 at non-admissible collapsing levels , having exactly one irreducible\u00a0-locally finite module in the category . In the case when\u00a0 is […]<\/a><\/p>\n<\/div>","protected":false},"author":5,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[18,14],"tags":[],"_links":{"self":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/posts\/624"}],"collection":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/comments?post=624"}],"version-history":[{"count":4,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/posts\/624\/revisions"}],"predecessor-version":[{"id":628,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/posts\/624\/revisions\/628"}],"wp:attachment":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/media?parent=624"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/categories?post=624"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/tags?post=624"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}