Bubbling surface operators and S-duality
Bubbling surface operators and S-duality
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DOI：
10.1088/1126-6708/2007/06/025
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发表时间：
2007-04
影响因子：
5.4
通讯作者：
J. Gomis;S. Matsuura
中科院分区：
文献类型：
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作者：
J. Gomis;S. Matsuura
我们构建对应于 = 4 SYM 中所有半 BPS 表面算子的 IIB 型超重力的平滑渐近解。标记半 BPS 表面算子的所有参数都在相应的冒泡几何中识别。我们利用表面算子的超重力描述来研究= 4 SYM的SL(2,Z)对偶群对表面算子参数的作用，发现它与Gukov和Witten最近在规范理论方法框架下对几何朗兰兹的分支提出的建议是一致的。我们还表明，每当冒泡几何形状变得奇异时，相应表面算子的路径积分描述也变得奇异。
We construct smooth asymptotically \ads solutions of Type IIB supergravity corresponding to all the half-BPS surface operators in = 4 SYM. All the parameters labeling a half-BPS surface operator are identified in the corresponding bubbling geometry. We use the supergravity description of surface operators to study the action of the SL(2,Z) duality group of = 4 SYM on the parameters of the surface operator, and find that it coincides with the recent proposal by Gukov and Witten in the framework of the gauge theory approach to the geometrical Langlands with ramification. We also show that whenever a bubbling geometry becomes singular that the path integral description of the corresponding surface operator also becomes singular.