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.
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Anninos, D., Mahajan, R., Radičević, Ð. et al. Chern-Simons-Ghost theories and De Sitter space. J. High Energ. Phys. 2015, 74 (2015). https://doi.org/10.1007/JHEP01(2015)074
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DOI: https://doi.org/10.1007/JHEP01(2015)074