{"created":"2023-06-20T13:23:17.183688+00:00","id":4067,"links":{},"metadata":{"_buckets":{"deposit":"86c68f3f-5676-48d9-899e-b6b39916a337"},"_deposit":{"created_by":21,"id":"4067","owners":[21],"pid":{"revision_id":0,"type":"depid","value":"4067"},"status":"published"},"_oai":{"id":"oai:ir.soken.ac.jp:00004067","sets":["2:428:16"]},"author_link":["2250","2251","2252"],"item_1_creator_2":{"attribute_name":"著者名","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"本多, 正純"}],"nameIdentifiers":[{}]}]},"item_1_creator_3":{"attribute_name":"フリガナ","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"ホンダ, マサズミ"}],"nameIdentifiers":[{}]}]},"item_1_date_granted_11":{"attribute_name":"学位授与年月日","attribute_value_mlt":[{"subitem_dategranted":"2013-03-22"}]},"item_1_degree_grantor_5":{"attribute_name":"学位授与機関","attribute_value_mlt":[{"subitem_degreegrantor":[{"subitem_degreegrantor_name":"総合研究大学院大学"}]}]},"item_1_degree_name_6":{"attribute_name":"学位名","attribute_value_mlt":[{"subitem_degreename":"博士（理学）"}]},"item_1_description_12":{"attribute_name":"要旨","attribute_value_mlt":[{"subitem_description":"Numerical test of AdS/CFT correspondence for M2-branes\nM-theory is an eleven-dimensional theory, which has been proposed as a strong coupling limit\nof the type IIA superstring theory. It has been also expected that the M-theory includes the\neleven-dimensional supergravity (11d SUGRA) as a low-energy limit. The 11d SUGRA consists\nof the graviton, gravitino and three-form gauge field. The three-form field in eleven dimensions\nelectrically (magnetically) couples to two(five)-dimensional object. Such objects naturally appear\nas black brane solutions conserving a part of supersymmetries in the 11d SUGRA. On the\nanalogy of the relation between such solutions in the ten-dimensional supergravities and objects\nin the superstring theories as string, NS5-brane and D-branes, we can expect that the M-theory\nhas fundamental two- and five-dimensional objects. These objects are called as ``M2-brane``\nand ``M5-brane``, respectively. In this thesis, we focus on Physics of the multiple M2-branes.\nAs well known, a low-energy limit of parallel N Dp-branes is described by the (p+1)-dimensional\nU(N) maximally supersymmetric Yang-Mills theory. This U(N) gauge symmetry can be\nintuitively understood by the facts that open string includes spin-1 massless boson in its spectrum\nand have an U(1) charge called as a Chan-Paton factor. What is a low-energy effective\ntheory of the parallel N M2-branes? Unfortunately, we have not an established answer to this\nquestion yet as we will argue below.\nFrom the single M2-brane analysis and implication of the AdS/CFT correspondence, we\nexpect that the low energy effective theory for $N$ M2-branes has the following properties:\n(1) Three dimensional conformal symmetry, (2) N=8 supersymmetry, (3) SO(8) R-symmetry,\nand so on.\nHowever, such a theory had not been found for long years. There are many reasons for this.\nOne of most serious obstacle is difficulty of quantization of supermembrane. This prevents us\nfrom finding spectrum and something like a Chan-Paton factor for M2-branes. Another difficult\n-ty is that it is not easy to construct gauge theory with conformal and high supersymmetry\nexcept for four dimensions. Since Yang-Mills action is scale invariant only for four dimensionns,\nwe can use only Chern-Simons term of vector multiplet and marginal term of chiral multiplet\nfor the construction. Indeed in 1990's, a maximal supersymmetric extension of Chern-\nSimons theory had been N=3.\nIn 2008, Aharony, Bergman, Jafferis and Maldacena (ABJM) has proposed a U(N)xU(N)\ntheory with Chern-Simons levels k and -k coupled to bi-fundamental matters. This theory has\nN=8 supersymmetry for k=1,2 and N=6 supersymmetry for other values of k. It has been\nconjectured tobe dual to M-theory on AdS_4 x S^7/Z_k for k<