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arXiv 1504.04286hep-th
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Chern-Simons分数自旋引力中的引力和规范耦合

Gravitational and gauge couplings in Chern-Simons fractional spin gravity

Nicolas Boulanger, Per Sundell, Mauricio Valenzuela

摘要:

通过存在一定的基态投影,给出了超迹一致性的充分必要条件。我们建立了这个投影仪,并检查其属性的前两个订单的数字运算符和变形参数的所有订单。然后,我们发现引力和内部规范耦合之间的关系,在由此产生的统一的三维陈-西蒙斯理论的Blencowe-Vasiliev高自旋引力耦合到分数自旋场和内部规范的潜力。我们还研究了整数或半整数分数自旋的模型,其中无限维的理想出现和解耦,留下有限维规范代数$gl(2l+1)$或$gl(l|l+1)$及其各种实形式。

英文摘要:

We provide a necessary and sufficient condition for the consistency of the supertrace, through the existence of a certain ground state projector. We build this projector and check its properties to the first two orders in the number operator and to all orders in the deformation parameter. We then find the relation between the gravitational and internal gauge couplings in the resulting unified three-dimensional Chern--Simons theory for Blencowe--Vasiliev higher spin gravity coupled to fractional spin fields and internal gauge potentials. We also examine the model for integer or half-integer fractional spins, where infinite dimensional ideals arise and decouple, leaving finite dimensional gauge algebras $gl(2l+1)$ or $gl(l|l+1)$ and various real forms thereof.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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