Physics Stack Exchange
Physics Stack Exchange

Questions tagged [matrix-model]

A matrix model is a non-peturbative formulation of a theory, such as string theory based on Matrix quantum mechanics

A matrix model is a non-peturbative formulation of a theory, such as based on Matrix ()

In String Theory, some prominent s include:

78 questions
28
votes
6 answers

Is there a physical interpretation to invariant random matrix ensembles?

Disclaimer. I am a graduate student in pure mathematics, so my knowledge of physics more advanced than basic 1st/2nd year undergraduate physics is very limited. I welcome corrections on any misconceptions present in my question. Background. From…
user55223
25
votes
2 answers

What information does the trace of a matrix give?

I was recently thinking what information do we get from a matrix. So if we say the columns (or rows) of a matrix define the basis of a system, say vectors of 3 dimensional space. Then the determinant will tell about the volume of the space enclosed…
Ayushi
  • 251
19
votes
1 answer

Good introductory text for matrix string theory

Where can I find a good introductory text for matrix string theory? Most textbooks don't cover it, or only cover it very superficially. What is the basic idea behind matrix string theory? How can matrices be equivalent to strings?
Eliza
  • 311
12
votes
2 answers

Matrix models and condensed matter physics

I am sending a couple of questions which seem a bit more specific than others on this site, partially to probe if there is a point in doing so. Not sure what is the range of expertise here, and no way to find out without trying. This one is also not…
user566
11
votes
2 answers

Advanced topics in string theory

I'm looking for texts about topics in string theory that are "advanced" in the sense that they go beyond perturbative string theory. Specifically I'm interested in String field theory (including superstrings and closed strings) D-branes and other…
Squark
11
votes
2 answers

Emergence of space from quantum mechanics

Once talking to a visiting professor at my institute, I heard about some simple model that captures the emergence of space coordinates as the eigenvalues of some infinite-dimensional quantum mechanical Hamiltonian in $0+1$ dimensions. Unfortunately,…
Andrii Magalich
  • 1,188
  • 7
  • 20
10
votes
1 answer

M(atrix) theory and things other than D0-branes? And is it non-peturbative M-theory or non-peturbative Type IIA theory?

When I first read the BFSS Paper on M(atrix)-theory, I was under the impression that it was a non-peturbative formulation of M-theory. But recently, upon reading this paper of Nathan Seiberg's, I realised it only describes a non-peturbative…
Abhimanyu Pallavi Sudhir
  • 6,268
10
votes
1 answer

Matrix geometry for F-strings

A stack of N D-branes has the strange property that the traverse D-brane coordinates are matrix-valued. When the matrices commute, they can be interpreted as ordinary coordinates for N indistinguishable objects. But in general they correspond to…
Squark
9
votes
0 answers

$U(N)$ gauged quantum mechanics

I'm studying the $U(N)$ gauge theory theory in 0+1 dimensions. The aim is to show that this is equivalent to a matrix model. Is there any literature on this topic? The action I am interested in is $$ S_E = \int d\tau \text{Tr} \left[ \left( D_\tau…
Prahar
  • 29,157
9
votes
1 answer

Random matrix ensembles from BMN model

My friends working on Thermalization of Black Holes explained solutions to their matrix-valued differential equations (from numerical implementation of the Berenstein-Maldacena-Nastase matrix model) result in chaotic solutions. They are literally…
john mangual
8
votes
1 answer

The curvature of the space of commuting hermitian matrices

This is a question that I asked in the mathematics section, but I believe it may get more attention here. I am working on a project dedicated to the quantisation of commuting matrix models. In the appropriate formalism this problem is reduced to a…
vesofilev
  • 121
6
votes
1 answer

Matrix Integrals, Riemann Surfaces & Black Holes. A question regarding one of J.M. Maldacena's talks

I was watching this presentation of Juan Martin Maldacena at Princeton: https://www.youtube.com/watch?v=OMb_P5qPpMc&ab_channel=GraduatePhysics. In one slide he shows an interesting integral. (I feel that this must be an action for some toy model,…
user242231
6
votes
1 answer

How can I show that $1/N$ expansion for large $N$ matrix models have a string theoretical perturbation expansion?

While surfing through some further reading suggestions on string theory, I stumbled upon this slide from a talk by Nathan Seiberg. I wanted to derive the main argument by applying a perturbation expansion for this partition function, but I couldn't…
user242231
6
votes
0 answers

Relation between holography and matrix models

Let's consider a 0-dimensional $N \times N$ Hermitean one matrix model. It is defined by a potential V(M). Its partition function is $$Z = \int_{H_{N}} dM e^{-\frac{1}{g}V(M)}$$ where $H_{N}$ is the space of $N \times N$ Hermitean matrices and g…
user40227
  • 194
5
votes
1 answer

Dimensional reduction of Yang-Mills to m(atrix) theory

The Yang-Mills action are usually given by $$S= \int\text{d}^{10}\sigma\,\text{Tr}\left(-\frac{1}{4}F_{\mu\nu}F^{\mu\nu}-\theta^{T}\gamma^{\mu}D_{\mu}\theta\right)$$ with the field strength defined as…
Natanael
  • 459
1
2 3 4 5 6