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After the establishment of the Standard Model of particle physics, the quantization of gravity is one of the most impotant problems. Matrix models which propose non-perturbative formulation of superstring theory might become the clue which solves this problem \u003cbr /\u003e　IKKT matrix model has the picture that the spacetime is dynamically generated as a discrete object made of N D-instantons (D(-1)). It is the impotant problem what fills the role of the background when we deal with gravity in the matrix model. In this paper, we introduce(N+1)×(N+1)matrices and regard the extra 1×1 block as a background. We may expect that the effective action for N D-instantons is modified by backgrounds so that they live in a curved space-time. This is analogous to a thermodynamic system. In a canonical ensemble, a subsystem in a heat bath is characterized by several thermodynamic quantities like temperature and pressure. Similarly a subsystem of N D-instantons in a, \"matrix bath\" can be characterized by several \"thermodynamic quantities\". We call this extra D-instanton a \"mean field D-instanton\". \u003cbr /\u003e　We construct wave functions and vertex operators for N D-instantons by expanding a supersymmetric Wilson loop operator. They form a massless multiplet of the N=2 type IIB supergravity and automatically satisfy conservation laws. The emergence of conservation laws seems to be a sign of the local symmetry. \u003cbr /\u003e　Next, we discuss the condensation of supergravity modes with the analogy between thermodynamics and the multi-particle system of N D-instantons. The condensation of a mean field D-instanton with an appropriate wave function f\u003cSUB\u003ek\u003c/SUB\u003e(y,ξ) represents the back-ground with various terms corresponding to the choice of the wave functions by integrating over off-diagonal blocks of the one-loop effective action. In particular, a Chern-Simons-like term is induced when the mean-fietd D-instanton has a wave function of the antisymmetric tensor field. A fuzzy sphere becomes a classical solution to the equation of motion for the effective action.", "subitem_description_type": "Other"}]}, "item_1_description_18": {"attribute_name": "フォーマット", "attribute_value_mlt": [{"subitem_description": "application/pdf", "subitem_description_type": "Other"}]}, "item_1_description_7": {"attribute_name": "学位記番号", "attribute_value_mlt": [{"subitem_description": "総研大甲第851号", "subitem_description_type": "Other"}]}, "item_1_select_14": {"attribute_name": "所蔵", "attribute_value_mlt": [{"subitem_select_item": "有"}]}, "item_1_select_8": {"attribute_name": "研究科", "attribute_value_mlt": [{"subitem_select_item": "高エネルギー加速器科学研究科"}]}, "item_1_select_9": {"attribute_name": "専攻", "attribute_value_mlt": [{"subitem_select_item": "14 素粒子原子核専攻"}]}, "item_1_text_10": {"attribute_name": "学位授与年度", "attribute_value_mlt": [{"subitem_text_value": "2004"}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "TERACHI, Hidenori", "creatorNameLang": "en"}], "nameIdentifiers": [{"nameIdentifier": "0", "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": "2016-02-17"}], "displaytype": "simple", "download_preview_message": "", "file_order": 0, "filename": "甲851_要旨.pdf", "filesize": [{"value": "173.2 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_11", "mimetype": "application/pdf", "size": 173200.0, "url": {"label": "要旨・審査要旨", "url": "https://ir.soken.ac.jp/record/697/files/甲851_要旨.pdf"}, "version_id": "cf3c18cf-9371-4537-9811-3205e1c7f5cf"}, {"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2016-02-17"}], "displaytype": "simple", "download_preview_message": "", "file_order": 1, "filename": "甲851_本文.pdf", "filesize": [{"value": "1.2 MB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_11", "mimetype": "application/pdf", "size": 1200000.0, "url": {"label": "本文", "url": "https://ir.soken.ac.jp/record/697/files/甲851_本文.pdf"}, "version_id": "1eb41fd4-885b-437e-84c2-f01f16b0dab8"}]}, "item_language": {"attribute_name": "言語", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "資源タイプ", "attribute_value_mlt": [{"resourcetype": "thesis", "resourceuri": "http://purl.org/coar/resource_type/c_46ec"}]}, "item_title": "Supergravity backgrounds in matrix models", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "Supergravity backgrounds in matrix models"}, {"subitem_title": "Supergravity backgrounds in matrix models", "subitem_title_language": "en"}]}, "item_type_id": "1", "owner": "1", "path": ["16"], "permalink_uri": "https://ir.soken.ac.jp/records/697", "pubdate": {"attribute_name": "公開日", "attribute_value": "2010-02-22"}, "publish_date": "2010-02-22", "publish_status": "0", "recid": "697", "relation": {}, "relation_version_is_last": true, "title": ["Supergravity backgrounds in matrix models"], "weko_shared_id": -1}