Harmonic analysis and propagators on homogeneous spaces

R Camporesi - Physics Reports, 1990 - Elsevier
The techniques of harmonic analysis of homogeneous spaces are reviewed, and applied to
the theory of propagators. The spectral geometry of homogeneous and, in particular, of …

Notes on strings and higher spins

A Sagnotti - Journal of Physics A: Mathematical and Theoretical, 2013 - iopscience.iop.org
This review is devoted to the intriguing and still largely unexplored links between string
theory and higher spins, the types of excitations that lie behind their most cherished …

The global non-linear stability of the Kerr–de Sitter family of black holes

P Hintz, A Vasy - 2018 - projecteuclid.org
We establish the full global non-linear stability of the Kerr–de Sitter family of black holes, as
solutions of the initial value problem for the Einstein vacuum equations with positive …

Static response and Love numbers of Schwarzschild black holes

L Hui, A Joyce, R Penco, L Santoni… - Journal of Cosmology …, 2021 - iopscience.iop.org
We derive the quadratic action for the physical degrees of freedom of massless spin-0, spin-
1, and spin-2 perturbations on a Schwarzschild-(A) dS background in arbitrary dimensions …

Exact solution of the harmonic oscillator in arbitrary dimensions with minimal length uncertainty relations

LN Chang, D Minic, N Okamura, T Takeuchi - Physical Review D, 2002 - APS
We determine the energy eigenvalues and eigenfunctions of the harmonic oscillator where
the coordinates and momenta are assumed to obey the modified commutation relations [xi …

Dynamics in non-globally-hyperbolic static spacetimes: III. Anti-de Sitter spacetime

A Ishibashi, RM Wald - Classical and Quantum Gravity, 2004 - iopscience.iop.org
In recent years, there has been considerable interest in theories formulated in anti-de Sitter
(AdS) spacetime. However, AdS spacetime fails to be globally hyperbolic, so a classical field …

Partial masslessness of higher spins in (A) dS

S Deser, A Waldron - Nuclear Physics B, 2001 - Elsevier
Massive spin s⩾ 3/2 fields can become partially massless in cosmological backgrounds. In
the plane spanned by m2 and Λ, there are lines where new gauge invariances permit …

Hilbert space of Quantum Field Theory in de Sitter spacetime

J Penedones, KS Vaziri, Z Sun - arXiv preprint arXiv:2301.04146, 2023 - arxiv.org
We study the decomposition of the Hilbert space of quantum field theory in $(d+ 1) $
dimensional de Sitter spacetime into Unitary Irreducible Representations (UIRs) of its …

Gauge invariances and phases of massive higher spins in (anti-) de Sitter space

S Deser, A Waldron - Physical Review Letters, 2001 - APS
Abstract The (m 2, Λ) plane of spin s> 1 massive fields in (anti-) de Sitter space backgrounds
is shown to consist of separate phases, divided by lines of novel “partially massless” gauge …

The discreet charm of the discrete series in dS2

D Anninos, T Anous, B Pethybridge… - Journal of Physics A …, 2023 - iopscience.iop.org
We study quantum field theories placed on a two-dimensional de Sitter spacetime (dS 2)
with an eye on the group-theoretic organization of single and multi-particle states. We …