Alexander Maloney

Quantum Gravity Partition Functions in Three Dimensions

We consider pure three-dimensional quantum gravity with a negative cosmological constant. The sum of known contributions to the partition function from classical geometries can be computed exactly, including quantum corrections. However, the result is not physically sensible, and if the model does exist, there are some additional contributions. One possibility is that the theory may have long strings and a continuous spectrum. Another possibility is that complex geometries need to be included, possibly leading to a holomorphically factorized partition function. We analyze the subleading corrections to the Bekenstein-Hawking entropy and show that these can be correctly reproduced in such a holomorphically factorized theory. We also consider the Hawking-Page phase transition between a thermal gas and a black hole and show that it is a phase transition of Lee-Yang type, associated with a condensation of zeros in the complex temperature plane. Finally, we analyze pure three-dimensional supergravity, with similar results.

Conformal vacua and entropy in de Sitter space

The de Sitter/conformal field theory (dS/CFT) correspondence is illuminated through an analysis of massive scalar field theory in d-dimensional de Sitter space. We consider a one-parameter family of dS-invariant vacua related by Bogolyubov transformations and compute the corresponding Green functions. It is shown that none of these Green functions correspond to the one obtained by analytic continuation from AdS. Among this family of vacua are in (out) vacua which have no incoming (outgoing) particles on

Beauty is attractive: Moduli trapping at enhanced symmetry points

{\mathcal{I}}^{\ensuremath{-}}

A Stringy cloak for a classical singularity

({\mathcal{I}}^{+}).

Chiral gravity, log gravity, and extremal CFT

Surprisingly, it is shown that in odd spacetime dimensions the in and out vacua are the same, implying the absence of particle production for this state. The correlators of the boundary CFT, as defined by the dS/CFT correspondence, are shown to depend on the choice of vacuum state---the correlators with all points on

De Sitter Space In Non-Critical String Theory

{\mathcal{I}}^{\ensuremath{-}}

S-brane thermodynamics

vanish in the in vacuum. For

Holographic Mutual Information is Monogamous

{\mathrm{dS}}_{3}

D-terms, unification, and the Higgs mass

we argue that this bulk vacuum dependence of the correlators is dual to a deformation of the boundary