The large N limit of OPEs in symmetric orbifold CFTs with N = (4,4) supersymmetry

被引:0
|
作者
de Beer, Thomas [1 ]
Burrington, Benjamin A. [2 ]
Jardine, Ian T. [1 ]
Peet, A. W. [1 ,3 ]
机构
[1] Univ Toronto, Dept Phys, Toronto, ON M5S 1A7, Canada
[2] Hofstra Univ, Dept Phys & Astron, Hempstead, NY 11549 USA
[3] Univ Toronto, Dept Math, Toronto, ON M5S 1A7, Canada
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2019年 / 08期
基金
加拿大自然科学与工程研究理事会; 美国国家科学基金会;
关键词
AdS-CFT Correspondence; Conformal Field Theory; Gauge-gravity correspondence; SL(2; R) WZW MODEL; ELLIPTIC GENERA; STRINGS; ADS(3);
D O I
10.1007/s13130-019-11019-2
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
We explore the OPE of certain twist operators in symmetric product (S-N) orbifold CFTs, extending our previous work [1] to the case of N = (4; 4) supersymmetry. We consider a class of twist operators related to the chiral primaries by spectral flow parallel to the twist. We conjecture that at large N, the OPE of two such operators contains only fields in this class, along with excitations by fractional modes of the superconformal currents. We provide evidence for this by studying the coincidence limits of two 4-point functions to several non-trivial orders. We show how the fractional excitations of the twist operators in our restricted class fully reproduce the crossing channels appearing in the coincidence limits of the 4-point functions.
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页数:39
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