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Matrix Model for Superstring/M-theory

Dec 1 – 5, 2025
Yukawa Institute for Theoretical Physics, Kyoto University
Asia/Tokyo timezone

Contribution List

23 / 23
1. Fortuity with a single matrix
Yiming Chen
12/1/25, 10:00 AM

It has recently been proposed that supersymmetric black hole microstates exhibit “fortuity”: their very existence depends sensitively on the finite, precise values of N, the number of degrees of freedom in the dual theory. In this talk, after reviewing the core ideas of fortuity in both large-N gauge theories and toy models such as the SYK model, I will describe a simple matrix...
2. Universality of Heavy Operators in Matrix Models
Harish Murali
12/1/25, 11:30 AM

In large N theories with a gravity dual, generic heavy operators should be dual to black holes in the bulk. The microscopic details of such operators should then be irrelevant in the low energy theory. I will talk about a simple two matrix model -- the Hoppe model -- which also exhibits universality. Using analytics as well as Monte Carlo simulations, I will show that there exists a universal...
3. On the landscape of minimal string theories and multi-matrix duals
Victor Rodriguez
12/1/25, 2:00 PM

I will review recent progress in charting the landscape of two-dimensional (minimal) string theories. This includes novel developments such as the Virasoro minimal string and the complex Liouville string, as well as revisiting the older ADE minimal string models. I will discuss their worldsheet descriptions, their matrix-model duals, and prospects for further directions and generalizations. If...
4. The polarised IKKT model
Sean Hartnoll
12/2/25, 9:00 AM

The IKKT model is a large N matrix integral that arises in string theory as the worldvolume theory of N D-instantons. It holds the promise of being a uniquely tractable model of holographic duality, but has some important differences with other better-understood cases, notably the absence of a time and the related absence of a "decoupling limit” in which the theory is obtained as an isolated...
5. Simulating the Euclidean and Lorentzian IKKT model with deformations
Jun Nishimura
12/2/25, 10:20 AM

Recently the Euclidean IKKT model with deformation preserving 16 supersymmetries has attracted a lot of attention. In particular, the partition function was evaluated exactly by applying the SUSY localization method, and the "time-less holography" was discovered. Moreover, it was found that the original IKKT model is NOT retrieved in the limit of removing the deformation. Here we provide a new...
6. Towards holography for the IKKT matrix model
Franz Ciceri
12/2/25, 11:40 AM

A particularly interesting corner of holographic dualities is the correspondence between type II strings on Dp branes geometries and d = p+1 dimensional super Yang-Mills theories with sixteen supercharges. For the extremal case p=-1, this suggests a holographic duality for the IKKT matrix model. Despite intriguing and highly non-trivial results in the IKKT model, this duality has, until...
7. Gauged matrix models: the Canonical and Microcanonical views
Denjoe O'Connor
12/3/25, 10:00 AM

I will discuss recent results on matrix models with a focus on the approach to the large N limit. The discussion will include a description of the Hagedorn transition (confining/deconfining transition) and its Hawking-Page dual. It will be argued that in the low temperature regime the canonical and microcanonical descriptions are not equivalent. We will see that negative specific heat can...
8. The Bootstrap Method in matrix theories
Zechuan Zheng
12/3/25, 11:30 AM

The bootstrap method offers a powerful framework for solving theoretical models by systematically solving the optimization problem from the constraints imposed by kinematic and dynamic equalities and inequalities. This approach has demonstrated remarkable efficacy in tackling matrix models, especially in the large N limit and in scenarios complicated by sign problems. In this presentation, we...
9. New Computational Methods for Matrix Models and the holographic principle
Enrico Rinaldi
12/3/25, 2:00 PM

The ability to numerically simulates holographic models based on matrix models in their relevant parameter regions is of paramount importance to gain new insights into how the gauge-gravity correspondence is realized away from analytical regimes.
New numerical techniques developed for studying quantum many-body physics are being applied to matrix models. I will describe tensor network methods...
10. Duality Orbits of DLCQs and Holography
Ziqi Yan
12/4/25, 10:00 AM

I will discuss BPS limits of M-theory that lead to U-dual webs of decoupled theories, whose fundamental degrees of freedom are described by matrix theories. The BPS limits are organized by five different duality orbits of M-theory in DLCQs. Via a generalization of the TTbar deformation to p-branes, this leads to a classification of holographic constructions in string theory. I will show that...
11. Strings from Feynman Diagrams
Edward Mazenc
12/4/25, 11:30 AM

Over 50 years ago, 't Hooft observed the similarity between the Feynman diagram expansion of a large N gauge theory and the topological expansion of a string theory. The purpose of this talk is to make this idea precise for a protected subsector of the AdS/CFT correspondence. Concretely, we show how the Feynman diagram expansion of correlation functions in N=4 SYM preserving half the...
12. Localization of the BFSS matrix model
Goro Ishiki
12/4/25, 2:00 PM

We apply localization to the BFSS matrix model with specific boundary conditions in the time direction, which are related to certain scattering amplitudes in 11-dimensional M-theory. For the boundary conditions corresponding to the three-point graviton amplitude, we compute the partition function exactly using localization and show that the result correctly reproduces the expected momentum...
13. Standard Model from IIB Matrix Model
Hikaru Kawai
12/5/25, 9:00 AM

Interpreting the matrices in the IIB matrix model as representing momentum space,
the matrices are described by bilocal fields. Consequently, the IIB matrix model
becomes a pregeometric action describing a system that includes gravity. From
this perspective, we discuss the possibility that the Standard Model emerges as
the effective theory at low energies.
This talk is based on joint...
14. K-theoretic matrix theory and D-branes
Shigeki Sugimoto
12/5/25, 10:20 AM

We study matrix theories constructed from non-BPS D-particle/D-instanton systems in type IIA/B string theory. In addition to the matrices describing the positions of the D-particles or D-instantons, these theories contain a tachyonic matrix, which plays a central role. The main claims of this talk are as follows:
1) Any D-brane configuration can, in principle, be realized within these matrix...
15. Matrix and Geometry in D-Brane Physics
Seiji Terashima
12/5/25, 11:40 AM

I will present a unified D-brane viewpoint on how matrix configurations encode noncommutative and commutative geometries. First, I explain how noncommutative D-branes and fuzzy geometries arise from bound states of infinitely many unstable D0-branes, where tachyon dynamics project to a finite set of effective D0-branes. I will also show that in the same way, we can describe ADHM and Nahm...
20. color superconductivity in general dimension via holography
Nguyen Hoang Vu

We generalize the concept of holography for the color superconductivity (CSC) phase by considering a $d$-dimensional Anti de Sitter (AdS) space instead of the traditional 6 dimensions. The corresponding dual field theory is a gauge theory with $SU(N_c)$ symmetry defined in $(d-1)$-dimensions that, despite lacking a confinement phase, retains characteristics consistent with quantum...
22. Description of curved spaces by finite-size matrices
Tatsuya Seko

We study regularization of matrices in the covariant derivative interpretation of matrix models, In the covariant derivative interpretation, curved spacetimes are described by matrices that are viewed as differential operators. One needs to regularize the operators as finite-size matrices in order to apply the interpretation to nonperturbative calculations such as numerical simulations. We...
23. Inequivalence between the Euclidean and Lorentzian Versions of the Type IIB Matrix Model from Lefschetz Thimble Calculations
Ashutosh Tripathi

The type IIB matrix model is conjectured to describe superstring theory nonperturbatively in terms of ten 𝑁 ×𝑁 bosonic traceless Hermitian matrices 𝐴𝜇 (𝜇 =0,…,9), whose eigenvalues correspond to (9+1)-dimensional space-time. Quite often, this model has been investigated in its Euclidean version, which is well defined although the SO⁡(9,1) Lorentz symmetry of the original model is replaced by...
27. Lie solutions in Lorentzian IKKT
Henry Liao

In our previous work, we have leveraged Lie algebra structure and successfully found a new class of classical saddle in Euclidean IKKT and discuss its emerged geometry. However, to have a natural interpretation of time, one needs to consult Lorentzian signature where single negative eigenvalue in metric that contracts bosonic matrices in IKKT matrix model exists. Hence, in this work, we extend...
24. Monte Carlo studies of the emergent spacetime in the polarized IKKT model
Cheng-Tsung Wang

The IKKT matrix model has been investigated as a promising nonperturbative formulation of superstring theory. One of the recent developments concerning this model is the discovery of the dual supergravity solution corresponding to the model obtained after supersymmetry-preserving mass deformation, which is dubbed the polarized IKKT model. Here we perform Monte Carlo simulations of this model...
17. Monte Carlo studies of the phase transition in the SUSY-deformed IKKT matrix model
Tin-Long Chau

We perform Monte Carlo simulation of SUSY-deformed Euclidean IKKT matrix model for matrix size N=3, and focused on the phase transition from the fuzzy-sphere phase to the commuting phase. We provide a complete understanding of the phase structure with respect to the deformation parameter. In the present N=3 case, we can use the reweighing method to overcome the sign problem and use the...
26. Rotating BPS M5-brane on the plane-wave background
Yuto Yoshida

We explicitly solve BPS equations for the bosonic theory on a single M5-brane on the plane wave background. We find that the BPS solution with a non-zero angular momentum describes a rotating ellipsoidal 5-brane, whose shape is parameterized by the angular momentum. We also discuss a possible scenario of how such a BPS solution appears in the BMN matrix model.
28. ZN stability and continuity in the twisted Eguchi-Kawai model with adjoint fermions
Yudai Hamada

In the large-N limit, lattice gauge theory is suggested to be equivalent to a zero-dimensional matrix model with twisted boundary conditions, known as the Twisted Eguchi-Kawai model. However, maintaining the ZN symmetry that ensures equivalence with the gauge theory typically requires a careful tuning of the twist parameters as large-N. In this talk, we propose a model in which the ZN vacuum...
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