Status of String Random Matrix Models w/ c>1

In summary, the status of string random matrix models with c>1 is currently limited, with only a few papers by Frank Ferrari from 2000-2002 exploring the topic. These papers focus on specific cases with singularities or higgs fields. On a different note, there is a question about the relationship between the BFSS matrix model and random matrix models of triangulated worldsheets. While the former is a nonperturbative formulation of some critical string theories, the latter is a perturbative formulation of noncritical string theories. However, the similarities and connections between these two applications of random matrix theories are still unclear.
  • #1
crackjack
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Question 1: What is the status of string random matrix models (~ triangulated random surfaces) with c>1?

In my limited search, I have just come across a few papers by Frank Ferrari (in 2000-2002) on this. But, they applied, if I understand correctly, to a few cases with some specific kind of singularities in their moduli space or some higgs field. See his lecture at http://arxiv.org/abs/hep-th/0205171 and references therein.
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On a slightly different note...
Question 2: How is the BFSS matrix model (and its derivatives for other critical string theories) related to the random matrix models of triangulated worldsheets? My understanding is that the former is a nonperturbative formulation of some critical string theories, while the latter is a perturbative formulation of (noncritical only?) string theories. But, what are the similarities and connections between these two applications of random matrix theories?
 
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  • #2
Any one? :)
 

1. What is a string random matrix model?

A string random matrix model is a mathematical model used to study the behavior of a system of random matrices. It was originally developed in the field of theoretical physics to study the properties of strings in string theory.

2. What does c>1 mean in the context of string random matrix models?

c>1 refers to the central charge, which is a measure of the complexity of a system in string theory. In the context of string random matrix models, c>1 indicates that the system has a high level of complexity and requires more advanced mathematical techniques to study.

3. What is the current status of research on string random matrix models with c>1?

The current status of research on string random matrix models with c>1 is still an active area of study. Many researchers are working on developing new techniques and approaches to better understand these complex systems.

4. How are string random matrix models with c>1 relevant to other fields of science?

String random matrix models with c>1 have applications in various fields of science, including theoretical physics, mathematics, computer science, and statistics. They can be used to study the behavior of complex systems in these fields and make predictions about their behavior.

5. What challenges are involved in studying string random matrix models with c>1?

Studying string random matrix models with c>1 presents several challenges, including the complexity of the systems, the need for advanced mathematical techniques, and the difficulty in obtaining accurate and reliable results. Additionally, the results of these models can be difficult to interpret and apply to real-world systems.

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