Two-loop cusp anomaly in ABJM at strong coupling
Two-loop cusp anomaly in ABJM at strong coupling
复制标题
DOI：
10.1007/jhep10(2014)013
复制
发表时间：
2014-07
影响因子：
5.4
通讯作者：
L. Bianchi;M. S. Bianchi;Alexis Brès;V. Forini;E. Vescovi
中科院分区：
文献类型：
--
作者：
L. Bianchi;M. S. Bianchi;Alexis Brès;V. Forini;E. Vescovi
我们计算了ABJM理论在强耦合至双环阶时的零尖异常维数。这是通过评估对相应超弦配分函数的修正来实现的，并由AdS光锥规中的AdS 4x 3作用加权。我们比较了我们的结果，其中我们使用了ad4半径的异常移位，与= 4 SYM的尖异常，并提取了ABJM理论的非平凡可积耦合h （λ）的双环贡献。它与最近由Gromov和Sizov推测的h （λ）精确表达式的强耦合展开相吻合。因此，我们的工作为后者提供了一个非平凡的微扰检验，以及在该规范中IIA型AdS 4x 3超弦的双环uv有限性和量子可积性的证据。
We compute the null cusp anomalous dimension of ABJM theory at strong coupling up to two-loop order. This is done by evaluating corrections to the corresponding superstring partition function, weighted by the AdS 4× ℂℙ 3 action in AdS light-cone gauge. We compare our result, where we use an anomalous shift in the AdS 4 radius, with the cusp anomaly of= 4 SYM, and extract the two-loop contribution to the non-trivial integrable coupling h (λ) of ABJM theory. It coincides with the strong coupling expansion of the exact expression for h (λ) recently conjectured by Gromov and Sizov. Our work provides thus a non-trivial perturbative check for the latter, as well as evidence for two-loop UV-finiteness and quantum integrability of the Type IIA AdS 4× ℂℙ 3 superstring in this gauge.