arXiv 1406.36292014-06hep-th

四维N=2规范理论的精确有效耦合

The Exact Effective Couplings of 4D N=2 gauge theories

Vladimir Mitev, Elli Pomoni

备注：: 5 pages, Letter, v2: added the leading term in strong coupling limit, minor changes to the main text and one additional reference
发表信息：: Phys. Rev. D 92, 125034 (2015)
DOI：: 10.1103/PhysRevD.92.125034

摘要：

纯胶子SU（2，1）中算符的反常维数|2）用N=2个耦合常数的插值函数代替N=4个耦合常数，可以从N=4个SYM结果中读出任意平面共形N=2理论的扇区，我们称之为有效耦合。对于一个大类的N=2理论，我们计算这些功能的弱耦合展开以及领先的强耦合项，采用超对称本地化。通过Feynman图，我们将结果解释为耦合常数的相对（N=2和N=4之间）有限重整化。使用AdS/CFT字典，我们确定了相应的引力对偶理论的有效弦张力的有效耦合。所以，在SU（2，1）中的任何观察|2）对于给定的理论，扇区可以通过用通用的有效耦合代替N=4的耦合常数而从其N = 4的对应物获得。

英文摘要：

The anomalous dimensions of operators in the purely gluonic SU(2,1|2) sector of any planar conformal N=2 theory can be read off from the N=4 SYM results by replacing the N=4 coupling constant by an interpolating function of the N=2 coupling constants, to which we refer to as the effective coupling. For a large class of N=2 theories we compute the weak coupling expansion of these functions as well as the leading strong coupling term by employing supersymmetric localization. Via Feynman diagrams, we interpret our results as the relative (between N=2 and N=4) finite renormalization of the coupling constant. Using the AdS/CFT dictionary, we identify the effective couplings with the effective string tensions of the corresponding gravity dual theories. Thus, any observable in the SU(2,1|2) sector can be obtained from its N=4 counterpart by replacing the N=4 coupling constant by the universal, for a given theory, effective coupling.

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