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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Bibliographic Information

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 Title
  • 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
Author
浅賀, 圭祐
University
Hokkaido University
Types of degree
博士(理学)
Grant ID
甲第11374号
Degree year
2014-03-25

Description

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

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