We review recent developments in Jackiw–Teitelboim gravity. This is a simple solvable
model of quantum gravity in two dimensions (that arises eg from the s-wave sector of higher …

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A bstract We propose that a class of new topologies, for which there is no classical solution,
should be included in the path integral of three-dimensional pure gravity, and that their …

A bstract A two-dimensional CFT dual to a semiclassical theory of gravity in three
dimensions must have a large central charge c and a sparse low energy spectrum. This …

In finite entropy systems, real-time partition functions do not decay to zero at late time.
Instead, assuming random matrix universality, suitable averages exhibit a growing" ramp" …

A bstract Recent developments involving JT gravity in two dimensions indicate that under
some conditions, a gravitational path integral is dual to an average over an ensemble of …

A bstract We study the torus partition functions of free bosonic CFTs in two dimensions.
Integrating over Narain moduli defines an ensemble-averaged free CFT. We calculate the …

A bstract We compute the path integral of three-dimensional gravity with negative
cosmological constant on spaces which are topologically a torus times an interval. These …

A bstract In this note we study the 1+ 1 dimensional Jackiw-Teitelboim gravity in Lorentzian
signature, explicitly constructing the gauge-invariant classical phase space and the quantum …

These lecture notes are intended for starting PhD students in theoretical physics who have a
working knowledge of General Relativity. The four topics covered are: Surface charges as …