{"id":661,"date":"2019-02-02T21:09:39","date_gmt":"2019-02-02T19:09:39","guid":{"rendered":"http:\/\/bela.phy.hr\/quantixlie\/?p=661"},"modified":"2019-02-02T21:20:14","modified_gmt":"2019-02-02T19:20:14","slug":"realizations-of-simple-affine-vertex-algebras-and-their-modules-the-cases-widehatsp2-and-widehatosp12","status":"publish","type":"post","link":"http:\/\/bela.phy.hr\/quantixlie\/realizations-of-simple-affine-vertex-algebras-and-their-modules-the-cases-widehatsp2-and-widehatosp12\/","title":{"rendered":"Realizations of Simple Affine Vertex Algebras and Their Modules: The Cases \"\widehat{sl(2)}\" and \"\widehat{osp(1,2)}\""},"content":{"rendered":"

Author: Dra\u017een Adamovi\u0107<\/strong><\/p>\n

Communications in Mathematical Physics<\/a>,\u00a0<\/span>pp 1\u201343<\/span><\/p>\n

https:\/\/doi.org\/10.1007\/s00220-019-03328-4<\/a><\/p>\n

Abstract:\u00a0<\/strong>We study the embeddings of the simple admissible affine vertex algebras \"{V_k(sl(2))}\" and \"{V_k({osp}(1,2))},\" \"{k \notin {\mathbb Z}_{\ge 0}}\", into the tensor product of rational Virasoro and N = 1 Neveu\u2013Schwarz vertex algebra with lattice vertex algebras. By using these realizations we construct a family of weight, logarithmic, and Whittaker \"{\widehat{sl(2)}}\" and \"{\widehat{osp(1,2)}}\"-modules. As an application, we construct all irreducible degenerate Whittaker modules for \"{V_k(sl(2))}\".<\/p>\n","protected":false},"excerpt":{"rendered":"

Author: Dra\u017een Adamovi\u0107 Communications in Mathematical Physics,\u00a0pp 1\u201343 https:\/\/doi.org\/10.1007\/s00220-019-03328-4 Abstract:\u00a0We study the embeddings of the simple admissible affine vertex algebras and , into the tensor product of rational Virasoro and N = 1 Neveu\u2013Schwarz vertex algebra with lattice vertex algebras. By using these realizations we construct a family of weight, […]<\/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\/wp-json\/wp\/v2\/posts\/661"}],"collection":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/comments?post=661"}],"version-history":[{"count":7,"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/posts\/661\/revisions"}],"predecessor-version":[{"id":668,"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/posts\/661\/revisions\/668"}],"wp:attachment":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/media?parent=661"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/categories?post=661"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/tags?post=661"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}