广义置换膜的DBI分析
DBI analysis of generalised permutation branes
摘要:
我们研究了Wess-Zumino-Novikov-Witten模型中两个群流形乘积GxG上的D-膜。当两个群的水平重合时,存在置换D-膜,它们被交换两个因子的自同构扭曲。当能级不同时,D-膜电荷群要求这些置换D-膜应该有推广,并且在hep-th/0509153中提出了它们的几何构造。通过证明广义置换D膜满足任意紧单连通单李群G的Dirac Born Infeld运动方程,我们进一步证明了这一点.
英文摘要:
We investigate D-branes on the product GxG of two group manifolds described as Wess-Zumino-Novikov-Witten models. When the levels of the two groups coincide, it is well known that there exist permutation D-branes which are twisted by the automorphism exchanging the two factors. When the levels are different, the D-brane charge group demands that there should be generalisations of these permutation D-branes, and a geometric construction for them was proposed in hep-th/0509153. We give further evidence for this proposal by showing that the generalised permutation D-branes satisfy the Dirac-Born-Infeld equations of motion for arbitrary compact, simply connected and simple Lie groups G.
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