2014/05/06 by Dionysios Anninos, Raghu Mahajan, Djordje Radicevic +1 · 1 citation
Physics and Astronomy · #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep01(2015)074
27 pages + appendices, 6 figures
arxiv created 2014/05/06 · arxiv updated 2015/06/19
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 ℝ3, 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 R3. On S1 × S2, in the small-S1 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.