论文标题
II型字符串理论中的五个大脑电流代数
Five-brane Current Algebras in Type II String Theories
论文作者
论文摘要
我们研究了NS5-branes，Kaluza-Klein（KK）五溴的当前代数和IIA/IIB型中的Exotic $ 5^2_2 $ branes。他们的WorldVolume理论由六维$ \ MATHCAL {n} =（2,0）$ tensor和$ \ Mathcal {n} =（1,1）$ vector多重组约束。我们表明，当前代数是通过S-和T二维确定的。 $ \ MATHCAL {N} =（2,0）$理论的代数为特征是由五大brane worldvolumes中的自动划分领域引起的狄拉克支架，而$ \ nathcal {n} =（1,1）$的代数为poisson bracket the $ \ nathcal {n} =（1,1）$的代数。通过使用这些代数，我们根据张量坐标来检查扩展的空间，这是十维超对称性的表示。我们还检查了十个维度IIA/IIB型超对称代数中电流的过渡规则。基于代数，我们在超级实力字段的扩展空间和量规变换中写下截面条件。
We study the current algebras of the NS5-branes, the Kaluza-Klein (KK) five-branes and the exotic $5^2_2$-branes in type IIA/IIB superstring theories. Their worldvolume theories are governed by the six-dimensional $\mathcal{N}= (2,0)$ tensor and the $\mathcal{N} = (1,1)$ vector multiplets. We show that the current algebras are determined through the S- and T-dualities. The algebras of the $\mathcal{N} = (2,0)$ theories are characterized by the Dirac bracket caused by the self-dual gauge field in the five-brane worldvolumes, while those of the $\mathcal{N} = (1,1)$ theories are given by the Poisson bracket. By the use of these algebras, we examine extended spaces in terms of tensor coordinates which are the representation of ten-dimensional supersymmetry. We also examine the transition rules of the currents in the type IIA/IIB supersymmetry algebras in ten dimensions. Based on the algebras, we write down the section conditions in the extended spaces and gauge transformations of the supergravity fields.
