Iterating free-field AdS/CFT: higher spin partition function relations. (10th June 2016)

• Record Type: Journal Article
• Authors: Beccaria, Matteo; Tseytlin, Arkady A
• Is Part Of: Journal of physics. Volume 49:Number 29(2016)
• Publication Date: 2016-06-10
• Subjects: AdS/CFT duality -- higher spins -- conformal symmetry; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8113/49/29/295401
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: 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.