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Dynamical actions and q-representation theory for double-scaled SYK
Andreas Blommaert, Thomas G. Mertens, Shunyu Yao
We show that DSSYK amplitudes are reproduced by considering the quantum mechanics of a constrained particle on the quantum group SU. We construct its left-and right-regula…
The power of Lorentzian wormholes
Andreas Blommaert, Jorrit Kruthoff, Shunyu Yao
As shown by Louko and Sorkin in 1995, topology change in Lorentzian signature involves spacetimes with singular points, which they called crotches. We modify their construction to…
A convergent genus expansion for the plateau
Phil Saad, Douglas Stanford, Zhenbin Yang +1
We conjecture a formula for the spectral form factor of a double-scaled matrix integral in the limit of large time, large density of states, and fixed temperature. The formula has…
An integrable road to a perturbative plateau
Andreas Blommaert, Jorrit Kruthoff, Shunyu Yao
As has been known since the 90s, there is an integrable structure underlying two-dimensional gravity theories. Recently, two-dimensional gravity theories have regained an enormous…
Comments on wormholes and factorization
Phil Saad, Stephen Shenker, Shunyu Yao
In AdS/CFT partition functions of decoupled copies of the CFT factorize. In bulk computations of such quantities contributions from spacetime wormholes which link separate asymptot…
Subleading Weingartens
Douglas Stanford, Zhenbin Yang, Shunyu Yao
Haar integrals over the unitary group contain subleading terms that are needed for unitarity. We study analogous effects in the time evolution operators of JT gravity and Brownian…
Wormholes without averaging
Phil Saad, Stephen H. Shenker, Douglas Stanford +1
After averaging over fermion couplings, SYK has a collective field description that sometimes has "wormhole" solutions. We study the fate of these wormholes when the couplings are…