On higher spin partition functions

@article{Beccaria2015OnHS,
title={On higher spin partition functions},
author={Matteo Beccaria and Arkady A. Tseytlin},
journal={Journal of Physics A},
year={2015},
volume={48},
pages={275401}
}
• Published 2015
• Physics, Mathematics
• Journal of Physics A
We observe that the partition function of the set of all free massless higher spins s = 0, 1, 2, 3,... in flat space is equal to one: the ghost determinants cancel against the 'physical' ones or, equivalently, the (regularized) total number of degrees of freedom vanishes. This reflects large underlying gauge symmetry and suggests analogy with supersymmetric or topological theory. The Z = 1 property extends also to the AdS background, i.e. the 1-loop vacuum partition function of Vasiliev theory… Expand
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References

SHOWING 1-10 OF 76 REFERENCES
On partition function and Weyl anomaly of conformal higher spin fields
Abstract We study 4-dimensional higher-derivative conformal higher-spin (CHS) fields generalizing Weyl graviton and conformal gravitino. They appear, in particular, as “induced” theories in theExpand
Conformal higher spin theory
Abstract We construct gauge theory of interacting symmetric traceless tensors of all ranks s=0,1,2,3,… which generalizes Weyl-invariant dilaton gravity to the higher spin case, in any dimension d>2.Expand
Partition Functions and Casimir Energies in Higher Spin AdS d+1 /CFT d
• Physics
• 2014
Recently, the one-loop free energy of higher spin (HS) theories in Euclidean AdSd+1 was calculated and matched with the orderN 0 term in the free energy of the largeN \vectorial" scalar CFT on the SExpand
Partition function of free conformal higher spin theory
• Physics
• 2014
A bstractWe compute the canonical partition function Z$$\mathcal{Z}$$ of non-interacting conformal higher spin (CHS) theory viewed as a collection of free spin s CFT’s in ℝ$$\mathbb{R}$$d. WeExpand
AdS description of induced higher-spin gauge theory
• Physics
• 2013
A bstractWe study deformations of three-dimensional large N CFTs by double-trace operators constructed from spin s single-trace operators of dimension Δ. These theories possess UV fixed points, andExpand
One loop tests of higher spin AdS/CFT
• Physics
• 2013
A bstractVasiliev’s type A higher spin theories in AdS4 have been conjectured to be dual to the U(N) or O(N) singlet sectors in 3-d conformal field theories with N-component scalar fields. We compareExpand
Partition functions and double-trace deformations in AdS/CFT
• Physics, Mathematics
• 2007
We study the effect of a relevant double-trace deformation on the partition function (and conformal anomaly) of a CFTd at large N and its dual picture in AdSd+1. Three complementary previous resultsExpand
On higher spin interactions with matter
• Physics
• 2009
Cubic couplings between a complex scalar field and a tower of symmetric tensor gauge fields of all ranks are investigated. A symmetric conserved current, bilinear in the scalar field and containing rExpand
Irreversibility and higher-spin conformal field theory
I discuss the properties of the central charges c and a for higher-derivative and higher-spin theories (spin 2 included). Ordinary gravity does not admit a straightforward identification of c and aExpand