Notes on superconformal Chern-Simons-Matter theories
Notes on superconformal Chern-Simons-Matter theories
复制标题
DOI：
10.1088/1126-6708/2007/08/056
复制
发表时间：
2007-04
影响因子：
5.4
通讯作者：
D. Gaiotto;Xi Yin
中科院分区：
文献类型：
--
作者：
D. Gaiotto;Xi Yin
三维=2超对称Chern-Simons理论耦合到可能被超势形变的物质场，产生了一大类具有拉格朗日描述的精确共形理论。这些理论可以是任意弱耦合的，因此可以微扰研究。研究了大N极限下的理论，计算了一类长算子的双圈反常维数。我们的结果表明，与合适的物质场耦合的各种=2 U(N)Chern-Simons理论对于尚未构造的AdS4中的开弦或闭弦理论是对偶的。
The three dimensional = 2 supersymmetric Chern-Simons theory coupled to matter fields, possibly deformed by a superpotential, give rise to a large class of exactly conformal theories with Lagrangian descriptions. These theories can be arbitrarily weakly coupled, and hence can be studied perturbatively. We study the theories in the large N limit, and compute the two-loop anomalous dimension of certain long operators. Our result suggests that various = 2 U(N) Chern-Simons theories coupled to suitable matter fields are dual to open or closed string theories in AdS4, which are not yet constructed.