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Averaging Over Narain Moduli Space
Alexander Maloney, Edward Witten
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 boundary the…
Matrix Models and Deformations of JT Gravity
Edward Witten
Recently, it has been found that JT gravity, which is a two-dimensional theory with bulk action , is dual to a matrix model, that is…
Deformations of JT Gravity and Phase Transitions
Edward Witten
We re-examine the black hole solutions in classical theories of dilaton gravity in two dimensions. We consider an arbitrary dilaton potential such that there are black hole solutio…
Duality and Mock Modularity
Atish Dabholkar, Pavel Putrov, Edward Witten
We derive a holomorphic anomaly equation for the Vafa-Witten partition function for twisted four-dimensional super Yang-Mills theory on for the g…