The Large N Limit of ${cal N} =2,1 $ Field Theories from Threebranes in F-theory
The Large N Limit of ${cal N} =2,1 $ Field Theories from Threebranes in F-theory
复制标题
${cal N} =2,1 $F 理论中三膜的场论的大 N 极限
DOI：
--
复制
发表时间：
1998
期刊：
影响因子：
--
通讯作者：
J. Maldacena
中科院分区：
文献类型：
--
作者：
O. Aharony;A. Fayyazuddin;J. Maldacena
我们考虑F理论中奇点附近的大量D3-膜所产生的场论。我们研究的理论在不同的共形点，并计算，使用他们的固定弦理论，他们的手征初级运营商的大$N$频谱。这包括，正如预期的那样，分数共形维数的理论在阿盖尔-道格拉斯点的运营商。在这些理论的整体对称性（有时是例外的）下，额外的算子来自7-膜。在D_4奇异性的情况下，我们将我们的结果与场论进行了比较，发现在大的N时结果是一致的。最后，我们考虑变形远离共形点，这涉及到寻找新的超引力解的几何产生的3膜在7膜的背景。我们还讨论了一般背景下的3-膜。
We consider field theories arising from a large number of D3-branes near singularities in F-theory. We study the theories at various conformal points, and compute, using their conjectured string theory duals, their large $N$ spectrum of chiral primary operators. This includes, as expected, operators of fractional conformal dimensions for the theory at Argyres-Douglas points. Additional operators, which are charged under the (sometimes exceptional) global symmetries of these theories, come from the 7-branes. In the case of a $D_4$ singularity we compare our results with field theory and find agreement for large $N$. Finally, we consider deformations away from the conformal points, which involve finding new supergravity solutions for the geometry produced by the 3-branes in the 7-brane background. We also discuss 3-branes in a general background.