Question

Regarding the duality between matrix ensembles and gravity, the relationship has indeed been discussed in various papers, including arXiv:1903.11115, arXiv:1907.03363, and arXiv:2006.13414, among others.

In the paper arXiv:1903.11115, the author showed that the Dyson ensemble with β=2 and a double scaling density proportional to sinh(2πE−−√) exhibits a specific duality. However, it is important to note that this result pertains to a specific ensemble and potential.

As for the general question of whether any ensemble with an arbitrary potential among the ten ensembles (including the three Dyson β-ensembles and the seven (α,β)-ensembles of Altland and Zirnbauer) has a dual 2D gravity,

Answer 1

The relationship between matrix ensembles and gravity has been discussed in various papers. The specific duality mentioned in arXiv:1903.11115 pertains to a specific ensemble and potential, and further research is needed to determine if other ensembles have a dual 2D gravity.

Step-by-step explanation:

The relationship between matrix ensembles and gravity has been discussed in various papers. In the paper arXiv:1903.11115, the author showed a specific duality in the Dyson ensemble with β=2 and a double scaling density proportional to sinh(2πE−√).

However, it is important to note that this result is specific to this ensemble and potential, and it does not necessarily hold for all ensembles.

As for the general question of whether any ensemble with an arbitrary potential among the ten ensembles has a dual 2D gravity, further research and analysis would be required.