Conformal bootstrap with slightly broken higher spin symmetry

被引：82

作者：

Alday, Luis F. ^{[1
]}

Zhiboedov, Alexander ^{[2
]}

机构：

[1] Univ Oxford, Math Inst, Radcliffe Observ Quarter, Andrew Wiles Bldg,Woodstock Rd, Oxford OX2 6CC, England

[2] Harvard Univ, Ctr Fundamental Laws Nat, Cambridge, MA 02138 USA

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2016年 / 06期

关键词：

Conformal and W Symmetry; Field Theories in Higher Dimensions; Higher Spin Symmetry; O(N) SIGMA-MODEL; 4-POINT FUNCTIONS; N=4 SYM; EXPANSIONS; DIMENSIONS;

D O I：

10.1007/JHEP06(2016)091

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 consider conformal field theories with slightly broken higher spin symmetry in arbitrary spacetime dimensions. We analyze the crossing equation in the double light-cone limit and solve for the anomalous dimensions of higher spin currents gamma(s) with large spin s. The result depends on the symmetries and the spectrum of the unperturbed conformal field theory. We reproduce all known results and make further predictions. In particular we make a prediction for the anomalous dimensions of higher spin currents in the 3d Ising model.

引用

页数：34

共 54 条

[1]

Alba V., ARXIV13078092

[2] Large spin systematics in CFT [J].