Worldsheet Descriptions of Wrapped NS Five-Branes
Worldsheet Descriptions of Wrapped NS Five-Branes
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包裹 NS 五膜的世界表描述
DOI：
10.1088/1126-6708/2002/11/038
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发表时间：
2002
影响因子：
5.4
通讯作者：
A. Kapustin
中科院分区：
文献类型：
--
作者：
K. Hori;A. Kapustin
我们提供了一个世界表描述的Neveu-Schwarz五膜包裹在一个复杂的射影空间。它是一个Script N = 2极小模型与一个线性sigma模型的IR不动点的乘积的轨道。我们展示了如何在超引力描述的裸奇点解决的世界表CFT。利用镜像对称性，我们证明了在Eguchi-Hanson空间中包裹在Bbb CBbb P1上的NS 5-膜的低能理论是由Script N = 2的超杨-米尔斯的Seiberg-Witten预势描述的，其规范群由五膜的ADE型给出.世界面CFT一般是规则的，但奇点恰好在时空理论的阿盖尔-道格拉斯点和无质量的爱因斯坦点上发展。我们还研究了包裹在Bbb CBbb P2上的NS 5-膜的Calabi-Yau 3-fold的低能理论及其与二维（2，2）super-Yang-米尔斯理论的关系。
We provide a world-sheet description of Neveu-Schwarz five-branes wrapped on a complex projective space. It is an orbifold of the product of an Script N = 2 minimal model and the IR fixed point of a certain linear sigma model. We show how the naked singularity in the supergravity description is resolved by the world-sheet CFT. Applying mirror symmetry, we show that the low-energy theory of NS5-branes wrapped on Bbb CBbb P1 in Eguchi-Hanson space is described by the Seiberg-Witten prepotential for Script N = 2 super-Yang-Mills, with the gauge group given by the ADE-type of the five-brane. The world-sheet CFT is generically regular, but singularities develop precisely at the Argyres-Douglas points and massless monopole points of the space-time theory. We also study the low-energy theory of NS5-branes wrapped on Bbb CBbb P2 in a Calabi-Yau 3-fold and its relation to (2,2) super-Yang-Mills theory in two dimensions.