Work

Chern-Simons-Ghost theories and De Sitter space

Year: 2015
Type: article
Abstract: We explore Chern-Simons theories coupled to fundamental ghost-like matter in the large N limit at ’t Hooft coupling λ. These theories have been conjectured to be holographically dual to parity-violating, asymptotically dS4 universes with a tower of light higher-spin fields. On $$ {\mathbb{R}}^3 $$ , to all orders in large-N perturbation theory, we show that Chern-Simons-ghost theories are related to ordinary Chern-Simons-matter theories by mapping N →−N and keeping λ fixed. Consequently, the bosonization duality of ordinary Chern-Simons-matter theories extends to a bosonization duality of Chern-Simons-ghost theories on $$ {\mathbb{R}}^3 $$ . On S 1 × S 2, in the small-S 1 limit, neither N → −N nor bosonization hold, as we show by extensively studying large-N saddles of the theories with both ghost and ordinary matter. The partition functions we compute along the way can be viewed as pieces of the late-time Hartle-Hawking wavefunction for the bulk dS4 gravity theories.
Institution: Stanford University
Language: English
Open Access status: diamond
OpenAlex ID: W1996821250
FWCI: 1.671
Cites: 85
Cited by: 21
Related to: 10