Abstract
We study Jackiw-Teitelboim gravity with dynamical end of the world branes in asymptotically nearly AdS2 spacetimes. We quantize this theory in Lorentz signature, and compute the Euclidean path integral summing over topologies including dynamical branes. The latter will be seen to exactly match with a modification of the SSS matrix model. The resolution of UV divergences in the gravitational instantons involving the branes will lead us to understand the matrix model interpretation of the Wilsonian effective theory perspective on the gravitational theory. We complete this modified SSS matrix model nonperturbatively by extending the integration contour of eigenvalues into the complex plane. Furthermore, we give a new interpretation of other phases in such matrix models. We derive an effective W(Φ) dilaton gravity, which exhibits similar physics semiclassically. In the limit of a large number of flavors of branes, the effective extremal entropy S0,eff has the form of counting the states of these branes.
Highlights
Euclidean wormholes have been at the center of a spate of recent progress in understanding quantum gravity [1,2,3,4,5,6,7]
We study Jackiw-Teitelboim gravity with dynamical end of the world branes in asymptotically nearly AdS2 spacetimes
There are no further constraints of consistency on positive hermitian Hamiltonians in quantum mechanics, conformal field theories in higher dimensions are highly constrained by microlocality and come only in sporadic families
Summary
Euclidean wormholes have been at the center of a spate of recent progress in understanding quantum gravity [1,2,3,4,5,6,7]. Instead of a negative spectrum, our nonperturbative completion implies that the spectrum undergoes a continuous phase transition to a “Y” shaped on the complex energy plane when K is over a critical value (see figure 10) We interpret these eS0 order of complex eigenvalues as unstable black hole states that could decay to lower energy objects other than EOW branes. This matches the Lorentzian analysis in the effective W (Φ) dilaton gravity [13], for which the spectrum is unbounded from below.
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