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We exactly compute the ABJ partition function on a three sphere for various k, M and N via the Fermi gas approach. 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We exactly compute the ABJ partition function on a three sphere for various k, M and N via the Fermi gas approach. By using these exact data, we show that the ABJ partition function is completely determined by the refined topological string on local P-1 x P-1, including membrane instanton effects in the M-theory dual."}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Honda,  Masazumi"}], "nameIdentifiers": [{"nameIdentifier": "50974", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Okuyama,  Kazumi"}], "nameIdentifiers": [{"nameIdentifier": "50975", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "ファイル情報", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2016-08-19"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "Exact_results_ABJ_theory_refined_topological_string.pdf", "filesize": [{"value": "1.1 MB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensefree": "© 2014, The Author(s). 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