3d N = 8 Lorentzian Bagger-Lambert-Gustavsson theory as a scaling limit of 3d superconformal N = 6 Aharony-Bergman-Jafferis-Maldacena theory
3d N = 8 Lorentzian Bagger-Lambert-Gustavsson theory as a scaling limit of 3d superconformal N = 6 Aharony-Bergman-Jafferis-Maldacena theory
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3d N = 8 Lorentzian Bagger-Lambert-Gustavsson 理论作为 3d 超共形 N = 6 Aharony-Bergman-Jafferis-Maldacena 理论的标度极限
DOI：
10.1103/physrevd.79.046002
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发表时间：
2009
影响因子：
5
通讯作者：
Antonyan E
中科院分区：
文献类型：
--
作者：
Antonyan E
我们详细阐述了arXiv：0806.3498中提出的建议，即“洛伦兹”Bagger-Lambert-Gustavson型（L-BLG）的3d超共形陈-西蒙斯物质理论可以从Aharony，Bergman，Jafferis和Maldacena（ABJM）的超共形陈-西蒙斯物质理论通过标度极限（包括将能级发送到无穷大并重新定义场）获得。我们表明，要实现这样的限制在一个一致的方式之一是扩展ABJM理论的阿贝尔“鬼”多重态。在3-代数水平上的相应极限也需要通过负范数生成元来扩展ABJM理论基础上的非反对称Bagger-Lambert 3-代数。我们画出类似的比例限制前面讨论的玻色子陈-西蒙斯理论和评论的ABJM和L-BLG理论之间的这种关系的一些影响。
We elaborate on the suggestion made in arXiv:0806.3498 that the 3dsuperconformalChern-Simons-matter theory of “Lorentzian” Bagger-Lambert-Gustavson type (L-BLG) can be obtained by a scaling limit (involving sending the levelto infinity and redefining the fields) from thesuperconformalChern-Simons-matter theory of Aharony, Bergman, Jafferis, and Maldacena (ABJM). We show that to implement such limit in a consistent way one is to extend the ABJM theory by an Abelian “ghost” multiplet. The corresponding limit at the 3-algebra level also requires extending the nonantisymmetric Bagger-Lambert 3-algebra underlying the ABJM theory by a negative-norm generator. We draw analogy with similar scaling limits discussed previously for bosonic Chern-Simons theory and comment on some implications of this relation between the ABJM and L-BLG theories.