Sailing from Warped AdS_3 to Warped dS_3 in Topologically Massive Gravity
Dionysios Anninos
TL;DR
This work broadens the landscape of three-dimensional gravity with a gravitational Chern-Simons term by showing that warped AdS3 vacua persist for Λ ≤ 0 and extend to Λ > 0, while introducing warped de Sitter space as a horizon-bearing counterpart. It computes holographic central charges, analyzes black hole identifications, and studies thermodynamics across these warped geometries, including Euclidean realizations and horizon entropy. The authors also develop a detailed scalar-wave analysis, uncovering highest-weight structures, normalizability conditions, and phenomena such as superradiance and Schwinger pair production in AdS2, dS2, and flat 2D spaces, thereby linking warped vacua to holographic CFT interpretations and quantum field effects in curved spacetimes.
Abstract
Three-dimensional warped anti-de Sitter space in topologically massive gravity with a negative cosmological constant has been proposed to be holographically dual to a two-dimensional conformal field theory. We extend this proposal to both positive and vanishing values of the cosmological constant where stretched warped anti-de Sitter space is found to be a solution. For positive cosmological constant, another class of warped solutions is obtained by a spacelike (timelike) line fibration over Lorentzian (Euclidean) two-dimensional de Sitter space. These solutions exhibit a cosmological horizon and Hawking temperature much like de Sitter space. Global identifications of this warped de Sitter space may contain a horizon in addition to the cosmological one. At a degenerate point, warped de Sitter space becomes a fibration over two-dimensional flat space. Finally, we study scalar waves in these backgrounds. Scalars in stretched warped anti-de Sitter space exhibit superradiance which can be interpreted as Schwinger pair production of charged particles in two-dimensional anti-de Sitter space.