{"id":670,"date":"2019-08-07T23:30:29","date_gmt":"2019-08-07T21:30:29","guid":{"rendered":"http:\/\/bela.phy.hr\/quantixlie\/?p=670"},"modified":"2019-08-07T23:30:29","modified_gmt":"2019-08-07T21:30:29","slug":"on-fusion-rules-and-intertwining-operators-for-the-weyl-vertex-algebra","status":"publish","type":"post","link":"http:\/\/bela.phy.hr\/quantixlie\/on-fusion-rules-and-intertwining-operators-for-the-weyl-vertex-algebra\/","title":{"rendered":"On fusion rules and intertwining operators for the Weyl vertex algebra"},"content":{"rendered":"

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Authors:<\/strong>\u00a0Dra\u017een Adamovi\u0107,\u00a0<\/span>Veronika Pedi\u0107<\/span><\/div>\n
Journal of Mathematical Physics\u00a060<\/b>, 081701 (2019);<\/div>\n
https:\/\/doi.org\/10.1063\/1.5098128<\/a><\/div>\n
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Abstract:<\/strong>\u00a0In vertex algebra theory, fusion rules are described as the dimension of the vector space of intertwining operators between three irreducible modules. We describe fusion rules in the category of weight modules for the Weyl vertex algebra. This way, we confirm the conjecture on fusion rules based on the Verlinde formula. We explicitly construct intertwining operators appearing in the formula for fusion rules. We present a result which relates irreducible weight modules for the Weyl vertex algebra to the irreducible modules for the affine Lie superalgebra\u00a0\u00a0\"\hat{gl}(1|1)\".<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n
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Authors:\u00a0Dra\u017een Adamovi\u0107,\u00a0Veronika Pedi\u0107 Journal of Mathematical Physics\u00a060, 081701 (2019); https:\/\/doi.org\/10.1063\/1.5098128 Abstract:\u00a0In vertex algebra theory, fusion rules are described as the dimension of the vector space of intertwining operators between three irreducible modules. We describe fusion rules in the category of weight modules for the Weyl vertex algebra. This way, we […]<\/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\/670"}],"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=670"}],"version-history":[{"count":2,"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/posts\/670\/revisions"}],"predecessor-version":[{"id":672,"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/posts\/670\/revisions\/672"}],"wp:attachment":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/media?parent=670"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/categories?post=670"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/wp-json\/wp\/v2\/tags?post=670"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}