Large N correlation functions N=2 superconformal quivers

被引:0
|
作者
Pini, Alessandro [1 ]
Rodriguez-Gomez, Diego [1 ]
Russo, Jorge G. [2 ,3 ,4 ]
机构
[1] Univ Oviedo, Dept Phys, Avda Calvo Sotelo 18, Oviedo 33007, Spain
[2] ICREA, Pg Lluis Compayns 23, Barcelona 08010, Spain
[3] Univ Barcelona, Dept Fis Cuant & Astrofis, Marti Franques 1, E-08028 Barcelona, Spain
[4] Univ Barcelona, Inst Ciencies Cosmos, Marti Franques 1, E-08028 Barcelona, Spain
来源
关键词
Supersymmetric Gauge Theory; AdS-CFT Correspondence;
D O I
10.1007/JHEP08(2017)066
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
Using supersymmetric localization, we consider four-dimensional N = 2 superconformal quiver gauge theories obtained from Z(n) orbifolds of N = 4 Super Yang-Mills theory in the large N limit at weak coupling. In particular, we show that: 1) The partition function for arbitrary couplings can be constructed in terms of universal building blocks. 2) It can be computed in perturbation series, which converges uniformly for vertical bar lambda I vertical bar < pi(2), where lambda(I) are the 't Hooft coupling of the gauge groups. 3) The perturbation series for two-point functions can be explicitly computed to arbitrary orders. There is no universal effective coupling by which one can express them in terms of correlators of the N = 4 theory. 4) One can define twisted and untwisted sector operators. At the perturbative orbifold point, when all the couplings are the same, the correlators of untwisted sector operators coincide with those of N = 4 Super Yang-Mills theory. In the twisted sector, we find remarkable cancellations of a certain number of planar loops, determined by the conformal dimension of the operator.
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页数:34
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