Higher-topology sine-dilaton gravity and ETH matrix-model correspondence

Determine whether higher-genus and higher-boundary correlators of sine-dilaton gravity are identified with the corresponding amplitudes of the ETH matrix model for DSSYK, beyond the disk and wormhole cases.

Background

The paper discusses an established correspondence between the DSSYK disk amplitude and sine-dilaton gravity, together with a wormhole-level match to the ETH matrix model. Beyond these cases, canonical quantization is unavailable and a consistent path-integral prescription for higher-topology sine-dilaton gravity is lacking.

The unresolved issue is whether the higher-genus and higher-boundary amplitudes generated by the ETH matrix model continue to reproduce the corresponding sine-dilaton gravity correlators.

References

Whether the identification of higher sine-dilaton gravity correlators with higher-genus (and higher-boundary) matrix model amplitudes persists is therefore an open question.

— The ETH matrix model for DSSYK: non-perturbative corrections and intersection theory  (2608.23298 - Alfinito et al., 24 Aug 2026) in Section 1, Introduction