We propose a connection between the newly formulated Virasoro minimal string
and the established minimal string by deriving the string equation from the
expansion of the Virasoro minimal string’s density of states in powers of
$E^{m+1/2}$. This string equation is expressed as a power series involving
double-scaled multicritical matrix models, which are dual to $(2,2m-1)$ minimal
strings. This reformulation of Virasoro minimal strings enables us to employ
matrix theory tools for computing $n$-boundary correlators. We analyze the
scaling behavior of these correlators in the JT gravity limit and deduce the
scaling of quantum volumes $V^{(b)}_{0,n}(ell_1,dots,ell_n)$ in this limit.
The article discusses the connection between the newly formulated Virasoro minimal string and the established minimal string. By deriving the string equation from the expansion of the Virasoro minimal string’s density of states, the authors express this equation as a power series involving double-scaled multicritical matrix models that are dual to $(2,2m-1)$ minimal strings. This reformulation allows for the use of matrix theory tools to compute $n$-boundary correlators.
The analysis in the article focuses on the scaling behavior of these correlators in the JT gravity limit. From this analysis, the authors are able to deduce the scaling of quantum volumes $V^{(b)}_{0,n}(ell_1,dots,ell_n)$ in this limit.
Future Roadmap
Potential Challenges
- The use of matrix theory tools for computing $n$-boundary correlators may require further development and refinement. Researchers may encounter challenges in accurately modeling and analyzing these correlators.
- Expanding the analysis beyond the JT gravity limit may present challenges in terms of understanding the scaling behavior in different scenarios and potentially incorporating other gravity theories.
- The reformulation of Virasoro minimal strings and the use of double-scaled multicritical matrix models may require further validation and testing to ensure their accuracy and applicability in various contexts.
Potential Opportunities
- The use of matrix theory tools provides a new approach to computing $n$-boundary correlators, which can potentially lead to advancements in our understanding of string theory and its connections to other areas of physics.
- By analyzing the scaling behavior of correlators in the JT gravity limit, researchers can gain insights into the behavior of quantum volumes in this specific limit. These findings can contribute to our understanding of the interplay between string theory and gravity.
- The reformulation of Virasoro minimal strings opens up possibilities for exploring their connections to other string theories and uncovering new mathematical structures and relationships.