Constraints on higher spin CFT2

被引：29

作者：

Afkhami-Jeddi, Nima ^{[1
]}

Colville, Kale ^{[2
]}

Hartman, Thomas ^{[1
]}

Maloney, Alexander ^{[2
]}

Perlmutter, Eric ^{[3
]}

机构：

[1] Cornell Univ, Dept Phys, Ithaca, NY 14853 USA

[2] McGill Univ, Dept Phys, Montreal, PQ, Canada

[3] Princeton Univ, Dept Phys, Princeton, NJ 08544 USA

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2018年 / 05期

基金：

美国国家科学基金会;

关键词：

Higher Spin Symmetry; Conformal Field Theory; Field Theories in Lower Dimensions; Higher Spin Gravity; W-ALGEBRAS; SUPERCONFORMAL ALGEBRA; UNITARITY; SYMMETRY; FORMULAS;

D O I：

10.1007/JHEP05(2018)092

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 derive constraints on two-dimensional conformal field theories with higher spin symmetry due to unitarity, modular invariance, and causality. We focus on CFTs with War symmetry in the "irrational" regime, where c > N - 1 and the theories have an infinite number of higher-spin primaries. The most powerful constraints come from positivity of the Kac matrix, which (unlike the Virasoro case) is non-trivial even when c > N - 1. This places a lower bound on the dimension of any non-vacuum higher-spin primary state, which is linear in the central charge. At large c, this implies that the dual holographic theories of gravity in AdS(3), if they exist, have no local, perturbative degrees of freedom in the semi-classical limit.

引用

页数：31

共 61 条

[1] A CHERN-SIMONS ACTION FOR 3-DIMENSIONAL ANTI-DESITTER SUPERGRAVITY THEORIES [J].