Clocks and rods in Jackiw-Teitelboim quantum gravity

Abstract

We specify bulk coordinates in Jackiw-Teitelboim (JT) gravity using a boundaryintrinsic radar definition. This allows us to study and calculate exactly diff-invariant bulk correlation functions of matter-coupled JT gravity, which are found to satisfy microcausality. We observe that quantum gravity effects dominate near-horizon matter correlation functions. This shows that quantum matter in classical curved spacetime is not a sensible model for near-horizon matter-coupled JT gravity. This is how JT gravity, given our choice of bulk frame, evades an information paradox. This echoes into the quantum expectation value of the near-horizon metric, whose analysis is extended from the disk model to the recently proposed topological completion of JT gravity [1]. Due to quantum effects, at distances of order the Planck length to the horizon, a dramatic breakdown of Rindler geometry is observed.

The probe of curvature in the Lorentzian AdS2/CFT1 correspondence

“…Therefore, the past light ray of the boundary point τ 2 and the future light ray of the boundary point τ 1 (assuming τ 2 > τ 1 ) meet at the following bulk point in the Lorentzian AdS 2 metric. In general, the bulk point is determined by [8]:…”

“…We noticed that the same two-to-one mapping was also used in[8]. Nevertheless, our studies of the bulk, based on the OPE blocks, are very different.…”

Revealing Nonperturbative Effects in the SYK Model

“…• Another possibility to satisfy the condition (2.15) is to consider the case when η is antisymmetric in the replica space and symmetric in the coordinate space. This case is widely considered in literature, in particular in the context of traversable wormholes and chaotic thermofield double dynamics [14,16,18,38] and O(N ) symmetry breaking [39]. We will consider it separately in the section 5.…”

“…The bulk theory dual to SYK contains the 2D Jackiw-Teitelboim theory [6][7][8][9][10][11] as the gravity subsector. More specifically, the holographic correspondence dictates that the partition function of M copies (replicas) of SYK should be equal to the partition function of the bulk theory, which includes the JT gravity on constant negative curvature spacetimes with M boundaries [13][14][15][16][17][18]. Therefore, one can think of collective replica field formulation of SYK as a representation for the bulk theory path integral.…”

“…Replica-nondiagonal structures of saddle points of SYK-like models were also studied in [24,[29][30][31][32][33][34], in particular in relation to the issue of spin glasses and replica symmetry breaking. From the gravity point of view, the nonperturbative effects arising from the subleading saddle points are related to the topologies of higher genus [15,18,35], and they probe discrete spectrum of black hole microstates and are important for the recovery of lost information [13][14][15].…”