Iterating free-field AdS/CFT: higher spin partition function relations

被引：16

作者：

Beccaria, Matteo ^{[1
,2
]}

Tseytlin, Arkady A. ^{[3
,4
]}

机构：

[1] Univ Salento, Dipartimento Matemat & Fis Ennio De Giorgi, Via Arnesano, I-73100 Lecce, Italy

[2] Ist Nazl Fis Nucl, Via Arnesano, I-73100 Lecce, Italy

[3] Univ London Imperial Coll Sci Technol & Med, Blackett Lab, Prince Consort Rd, London SW7 2AZ, England

[4] Lebedev Inst, Moscow, Russia

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2016年 / 49卷 / 29期

基金：

俄罗斯科学基金会;

关键词：

AdS/CFT duality; higher spins; conformal symmetry; CONFORMAL HIGHER-SPIN; INVARIANCE; OPERATORS; ENERGY;

D O I：

10.1088/1751-8113/49/29/295401

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We find a simple relation between a free higher spin partition function on the thermal quotient of AdS(d+1) and the partition function of the associated d-dimensional conformal higher spin field defined on the thermal quotient of AdS(d). Starting with a conformal higher spin field defined in AdS(d), one may also associate to with another conformal field in d - 1 dimensions, thus iterating AdS/CFT. We observe that in the case of d = 4, this iteration leads to a trivial 3d higher spin conformal theory with parity-even non-local action: it describes a zero total number of dynamical degrees of freedom and the corresponding partition function is equal to 1.

引用

页数：25

共 58 条

[51] IMPLICATIONS OF CONFORMAL-INVARIANCE IN-FIELD THEORIES FOR GENERAL DIMENSIONS [J].