Character integral representation of zeta function in \(\mathrm{AdS}_{d+1}\). I: Derivation of the general formula
From MaRDI portal
Publication:1627335
DOI10.1007/JHEP10(2018)091zbMath1402.83071arXiv1805.05646OpenAlexW3103659188MaRDI QIDQ1627335
Thomas Basile, Wenliang Li, Shailesh Lal, Euihun Joung
Publication date: 22 November 2018
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.05646
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)
Related Items
Conformal higher-spin gravity: linearized spectrum = symmetry algebra ⋮ Notes on gauge fields and discrete series representations in de Sitter spacetimes ⋮ Cubic interaction vertices for massive/massless continuous-spin fields and arbitrary spin fields ⋮ Partition functions of \(p\)-forms from Harish-Chandra characters ⋮ AdS one-loop partition functions from bulk and edge characters
Cites Work
- Unnamed Item
- Unnamed Item
- Consistent equations for interacting gauge fields of all spins in \(3+1\) dimensions
- Fermionic continuous spin gauge field in (A)dS space
- Mixed-symmetry fields in de Sitter space: a group theoretical glance
- One-loop free energy of tensionless type IIB string in \(\mathrm{AdS}_{5} \times S^{5}\)
- AdS description of induced higher-spin gauge theory
- One loop tests of higher spin AdS/CFT
- The Plancherel measure for \(p\)-forms in real hyperbolic spaces
- Nonlinear equations for symmetric massless higher spin fields in (A)dS\(_d\)
- On the holography of free Yang-Mills
- Exceptional \(F(4)\) higher-spin theory in \(\mathrm{AdS}_{6}\) at one-loop and other tests of duality
- One-loop test of free \(SU(N)\) adjoint model holography
- The conformal characters
- Partially massless higher-spin theory II: one-loop effective actions
- Partition functions for higher-spin theories in AdS
- A universal result on central charges in the presence of double-trace deformations
- Character integral representation of zeta function in \(\mathrm{AdS}_{d+1}\). II: Application to partially-massless higher-spin gravities
- Higher-order singletons, partially massless fields, and their boundary values in the ambient approach
- Double-trace operators and one-loop vacuum energy in AdS/CFT
- Character formulas and partition functions in higher dimensional conformal field theory
- Spectral functions and zeta functions in hyperbolic spaces
- Continuous-spin mixed-symmetry fields in AdS(5)
