N=4 Superconformal Bootstrap

被引:174
作者
Beem, Christopher [1 ]
Rastelli, Leonardo [2 ]
van Rees, Balt C. [2 ]
机构
[1] SUNY Stony Brook, Simons Ctr Geometry & Phys, Stony Brook, NY 11794 USA
[2] SUNY Stony Brook, CN Yang Inst Theoret Phys, Stony Brook, NY 11794 USA
基金
美国国家科学基金会;
关键词
OPERATOR PRODUCT EXPANSION; NON-RENORMALIZATION; 4-POINT FUNCTIONS; SYM; OPE;
D O I
10.1103/PhysRevLett.111.071601
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We implement the conformal bootstrap for N = 4 superconformal field theories in four dimensions. The consistency of the four-point function of the stress-energy tensor multiplet imposes significant upper bounds for the scaling dimensions of unprotected local operators as functions of the central charge of the theory. At the threshold of exclusion, a particular operator spectrum appears to be singled out by the bootstrap constraints. We conjecture that this extremal spectrum is that of N = 4 supersymmetric Yang-Mills theory at an S-duality invariant value of the complexified gauge coupling.
引用
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页数:5
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