Scale-invariant breaking of conformal symmetry

被引：19

作者：

Dymarsky, Anatoly ^{[1
,2
]}

Zhiboedov, Alexander ^{[3
]}

机构：

[1] MIT, Ctr Theoret Phys, Cambridge, MA 02139 USA

[2] Skolkovo Inst Sci & Technol, Skolkovo 143025, Moscow Region, Russia

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

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2015年 / 48卷 / 41期

关键词：

renormalization group; conformal field theory; higher spin symmetry;

D O I：

10.1088/1751-8113/48/41/41FT01

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Known examples of unitary relativistic scale but not conformal-invariant field theories (SFTs) can be embedded into conventional conformal field theories (CFTs). We show that any SFT which is a subsector of a unitary CFT is a free theory. Our discussion applies to an arbitrary number of spacetime dimensions and explains triviality of known SFTs in four spacetime dimensions. We comment on examples of unitary SFTs which are not captured by our construction.

引用

页数：9

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