The NUTs and Bolts of Squashed Holography

Understand

We evaluate the partition function of the free O(N) model on a two-parameter family of squashed three spheres.

• We also find new solutions of general relativity with negative cosmological constant and the same double squashed boundary geometry and analyse their thermodynamic properties.
• Remarkably, both systems exhibit a qualitatively similar behaviour over the entire configuration space of boundary geometries.
• Recent formulations of dS/CFT enable one to interpret the field theory partition function as a function of the two squashing parameters as the Hartle-Hawking wave function in a minisuperspace model of anisotropic deformations of de Sitter space.