{"id":470,"date":"2016-12-06T10:54:52","date_gmt":"2016-12-06T08:54:52","guid":{"rendered":"http:\/\/bela.phy.hr\/quantixlie\/?p=470"},"modified":"2016-12-06T10:56:31","modified_gmt":"2016-12-06T08:56:31","slug":"on-free-field-realizations-of-w22-modules","status":"publish","type":"post","link":"http:\/\/bela.phy.hr\/quantixlie\/hr\/on-free-field-realizations-of-w22-modules\/","title":{"rendered":"On Free Field Realizations of \"W(2,2)\"-Modules"},"content":{"rendered":"

Abstract<\/b>
\nThe aim of the paper is to study modules for the twisted Heisenberg-Virasoro algebra \"\mathcal H\"<\/span><\/span><\/span><\/span><\/span><\/span>\u00a0at level zero as modules for the \"W(2,2)\"-algebra by using construction from\u00a0[J.\u00a0Pure Appl. Algebra<\/i> 219<\/b>(2015), 4322-4342, arXiv:1405.1707]. We prove that the irreducible highest weight \"\mathcal H\"-module is irreducible as \"W(2,2)\"-module if and only if it has a typical highest weight. Finally, we construct a screening operator acting on the Heisenberg-Virasoro vertex algebra whose kernel is exactly \"W(2,2)\"\u00a0vertex algebra.<\/p>\n

Key words:<\/b> Heisenberg-Virasoro Lie algebra; vertex algebra; \"W(2,2)\"\u00a0algebra; screening-operators.<\/p>\n

Dra\u017een Adamovi\u0107\u00a0and Gordan Radobolja,\u00a0SIGMA 12<\/b> (2016), 113, 13 pages;\u00a0arXiv:1605.08608<\/a>;\u00a0http:\/\/dx.doi.org\/10.3842\/SIGMA.2016.113<\/a><\/b><\/p>\n","protected":false},"excerpt":{"rendered":"

Abstract The aim of the paper is to study modules for the twisted Heisenberg-Virasoro algebra \u00a0at level zero as modules for the -algebra by using construction from\u00a0[J.\u00a0Pure Appl. Algebra 219(2015), 4322-4342, arXiv:1405.1707]. We prove that the irreducible highest weight -module is irreducible as -module if and only if it has […]<\/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\/470"}],"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=470"}],"version-history":[{"count":2,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/posts\/470\/revisions"}],"predecessor-version":[{"id":472,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/posts\/470\/revisions\/472"}],"wp:attachment":[{"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/media?parent=470"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/categories?post=470"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/bela.phy.hr\/quantixlie\/hr\/wp-json\/wp\/v2\/tags?post=470"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}