AI 中文总结
研究四种N=1超对称Virasoro极小弦理论，通过随机矩阵模型的常微分方程统一描述其微扰与非微扰性质，提出并研究大量N=2、N=4超对称类似物，明确不同理论的形变特性及c→∞极限的对应关系。
AI 中文摘要
已知的N=1超对称Virasoro极小弦理论共有四种，自然分为两对，标记为0A±和0B±。我们在此观察到，所有四种理论都可以用描述具有正谱的特定随机矩阵模型的常微分方程的解来自然描述。该框架还自然描述了两种新的不可定向0A⁻理论。该公式化方法可对所有微扰振幅进行简单计算，同时也提供完整的非微扰信息。我们的方法明确了为何0A⁻型可发生形变以包含一组Ramond顶点插入（我们对此进行了完整描述），而0A⁺型则不能。已知当c→∞时，0A⁻和0B⁻模型会简化为Stanford和Witten提出的熟知的0A和0B JT超引力；而对于正号对，相同极限会简化为普通JT引力的非微扰完备形式，其中一种已为人们所知。我们还利用相同方法提出并详细研究了Virasoro极小弦的大量N=2和N=4超对称类似物。
英文摘要
There are four known ${N}{=}1$ supersymmetric Virasoro minimal string theories, naturally coming in two pairs and labeled as 0A$^\pm$ and 0B$^\pm$. We observe here that all four are naturally described in terms of solutions of an ordinary differential equation that describes certain random matrix models with positive spectra. Two new additional 0A$^-$ theories, which are unorientable, are naturally described by the framework. The formulation allows for simple computation of all perturbative amplitudes, and provides complete non-perturbative information as well. Our approach makes it clear why type 0A$^-$ can be deformed to include a gas of Ramond vertex insertions, which we fully describe, while type 0A$^+$ cannot. While it is known that the $c\rightarrow\infty$ limit reduces the 0A$^-$ and 0B$^-$ models to the familiar 0A and 0B JT supergravities of Stanford and Witten, the same limit for the plus pair reduces to non-perturbative completions of ordinary JT gravity, one of which is known. Large families of ${N}{=}2$ and ${N}{=}4$ supersymmetric analogues of the Virasoro minimal strings are also proposed and explored in detail, using the same approach.
Comments33 pages, 5 figures, 6 tables
