(Half) Wormholes under Irrelevant Deformation
arXiv:2203.14988 · doi:10.1103/PhysRevD.106.066014
Abstract
Recently it has been shown by Almheiri and Lin [1] that the reconstruction of black-hole interior is sensitive to knowing the exact coupling of the boundary theory even if the coupling is irrelevant. This motivates us to enlarge the set of the one-time and two-time toy models inspired from the SYK by deforming the same with \textit{irrelevant} coupling. We find that both half-wormholes as well as the wormholes persist in presence of the deformation, leading to a similar mechanism for curing the factorization problem. While for the one time case, the deformed partition function and its moments change by an overall factor, which can completely be absorbed into a renormalization of coupling, for the two time (or coupled one time) SYK we find non-trivial dynamics of the saddles as the couplings are varied. Curiously, the \textit{irrelevant} deformations that we consider can also be thought of as an ensemble average over an overall scaling of the original undeformed Hamiltionian with an appropriate probability distribution, this allows for the possibility that half-wormholes may also be present in suitably defined ensemble of theories.
arXiv comment15 pages+ Appendix, 5 figures
References in corpus (31)
- Replica Wormholes and the Entropy of Hawking Radiation
- A semiclassical ramp in SYK and in gravity
- Averaging Over Narain Moduli Space
- Free partition functions and an averaged holographic duality
- The spectral form factor is not self-averaging
- in AdS and Quantum Mechanics
- Late Time Correlation Functions, Baby Universes, and ETH in JT Gravity
- Hamiltonian deformations in quantum mechanics, , and SYK
- Summing over Geometries in String Theory
- Many-body level statistics of single-particle quantum chaos
- An exponential ramp in the quadratic Sachdev-Ye-Kitaev model
- No Ensemble Averaging Below the Black Hole Threshold
- Harmonic analysis of 2d CFT partition functions
- Wormholes and Spectral Statistics in the Narain Ensemble
- Disorder Averaging and its UV (Dis)Contents
- Narain to Narnia
- Adding Flavor to the Narain Ensemble
- Comments on the holographic description of Narain theories
- Chern-Simons Invariants from Ensemble Averages
- AdS wormholes from a modular bootstrap
- Nonperturbative effects and resurgence in JT gravity at finite cutoff
- Finite-cutoff JT gravity and self-avoiding loops
- Poincaré Series, 3d Gravity and Averages of Rational CFT
- Gravitational dual of averaged free CFT's over the Narain lattice
- Averaging over moduli in deformed WZW models
- Half-wormholes in SYK with one time point
- The Entanglement Wedge of Unknown Couplings
- Deformations of Supersymmetric Quantum Mechanics
- AdS Gravity and RCFT Ensembles with Multiple Invariants
- -deformed free energy of the Airy model
- Higher spin wormholes from modular bootstrap