{"corpus_id":119716745,"paper_sha":"4cda237a7decf436dcd93a8dbf3d1af1aa890008","doi":"10.1016/j.physletb.2015.01.003","arxiv_id":"1411.4453","pmid":null,"pmcid":null,"mag_id":2053974379,"dblp_id":null,"acl_id":null,"title":"Virasoro irregular conformal block and beta deformed random matrix model","year":2014,"publication_date":"2014-11-17","venue":"","journal":{"name":"Physics Letters B","pages":"50-54","volume":"742"},"journal_issn":null,"journal_title":null,"publication_types":[],"pubmed_pub_types":null,"s2_fields_of_study":["Mathematics","Physics"],"reference_count":27,"citation_count":19,"influential_citation_count":0,"is_open_access":false,"arxiv_categories":["hep-th","math-ph","math.MP"],"arxiv_license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","arxiv_journal_ref":null,"mesh_headings":null,"chemicals":null,"comments_corrections":null,"source_flags":1,"s2_open_access_pdf_url":null,"s2_open_access_landing_url":null,"s2_open_access_license":null,"s2_open_access_status":null,"pmc_open_access_pdf_url":null,"pmc_open_access_landing_url":null,"pmc_open_access_license":null,"pmc_open_access_status":null,"unpaywall_open_access_pdf_url":null,"unpaywall_open_access_landing_url":null,"unpaywall_open_access_license":null,"unpaywall_open_access_status":null,"abstract":"Abstract Virasoro irregular conformal block is presented as the expectation value of Jack-polynomials of the beta-deformed Penner-type matrix model and is compared with the inner product of Gaiotto states with arbitrary rank. It is confirmed that there are non-trivial modifications of the Gaiotto states due to the normalization of the states. 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