Holographic four-point functions in the (2,0) theory

被引:57
作者
Rastelli, Leonardo [1 ]
Zhou, Xinan [1 ]
机构
[1] SUNY Stony Brook, CN Yang Inst Theoret Phys, Stony Brook, NY 11794 USA
关键词
AdS-CFT Correspondence; Conformal and W Symmetry; Conformal Field Theory; Scattering Amplitudes; SUPERCONFORMAL SYMMETRY; N=4 SYM; D=6; OPERATORS;
D O I
10.1007/JHEP06(2018)087
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 revisit the calculation of holographic correlators for eleven-dimensional supergravity on AdS(7) x S-4. Our methods rely entirely on symmetry and eschew detailed knowledge of the supergravity effective action. By an extension of the position space approach developed in [1, 2] for the AdS(5) x S-5 background, we compute four-point correlators of one-half BPS operators for identical weights k = 2, 3, 4. The k = 2 case corresponds to the four-point function of the stress-tensor multiplet, which was already known, while the other two cases are new. We also translate the problem in Mellin space, where the solution of the superconformal Ward identity takes a surprisingly simple form. We formulate an algebraic problem, whose (conjecturally unique) solution corresponds to the general one-half BPS four-point function.
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页数:32
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