Wormholes, branes and finite matrices in sine dilaton gravity
Andreas Blommaert (School of Natural Sciences, Institute for Advanced Study, Princeton, NJ, 08540, USA)
; Adam Levine (Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA); Thomas Mertens (Department of Physics and Astronomy, Ghent University, Krijgslaan, 281-S9, Gent, 9000, Belgium); Jacopo Papalini (Department of Physics and Astronomy, Ghent University, Krijgslaan, 281-S9, Gent, 9000, Belgium); Klaas Parmentier (Department of Physics, Columbia University, New York, NY, 10027, USA)
We compute the double trumpet in sine dilaton gravity via WdW quantization. The wormhole size is discretized. The wormhole amplitude matches the spectral correlation of a finite-cut matrix integral, where matrices have large but finite dimensions. This strongly suggests an identification of the sine dilaton gravity theory with the q-deformed JT gravity matrix integral. At the very least, it captures all universal content of that matrix model. The disk decomposes into the physical (gauge invariant) solutions of the WdW equation, which are trumpets with discrete sizes. This decomposition modifies the usual no-boundary wavefunction to a normalizable one in sine dilaton gravity.
