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On the constraints in off-shell formulations of D=N=2 and D=N=4 super Yang-Mills theories with a gauged central charge

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Please use this identifier to cite or link to this item:https://doi.org/10.14943/doctoral.k11374
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Title: On the constraints in off-shell formulations of D=N=2 and D=N=4 super Yang-Mills theories with a gauged central charge
Other Titles: ゲージ化された中心電荷を含みオフシェルで成り立つ2次元N=2及び4次元N=4超対称ヤン・ミルズ理論における拘束条件式に関する研究
Authors: 浅賀, 圭祐 Browse this author
Issue Date: 25-Mar-2014
Abstract: AbstractWe formulate off-shell invariant two-dimensionalN= 2 and four-dimensionalN= 4super Yang-Mills theories with a gauged central charge, and investigate whether constraintsinevitably appear in these theories. We deal with Dirac-K ahler twisted version of super-symmetry and adopt the superconnection formalism. In the two-dimensional theory, weshow that one can formulate two new models without constraints by introducing two centralcharges which are related to each other. This is in contrast with the already known superYang-Mills theory with central charges, especially, the off-shell invariantD=N= 4 superYang-Mills theory. We then apply this technique of dependent-central-charges to the formu-lation of the off-shell invariantD=N= 4 super Yang-Mills theory. In this model, there arefour possible central charges. We found that there are no four-dimensional models withoutconstraints, as far as central charges, which are dependent, are included in the algebra. It isalso shown that a constraint is inevitable if only one of these central charges is included inthe algebra
Conffering University: 北海道大学
Degree Report Number: 甲第11374号
Degree Level: 博士
Degree Discipline: 理学
Examination Committee Members: (主査) 准教授 中山 隆一, 教授 鈴木 久男, 教授 羽部 朝男, 講師 末廣 一彦
Degree Affiliation: 理学院(宇宙理学専攻)
Type: theses (doctoral)
URI: http://hdl.handle.net/2115/55437
Appears in Collections:学位論文 (Theses) > 博士 (理学)
課程博士 (Doctorate by way of Advanced Course) > 理学院(Graduate School of Science)

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