Matrix Model for Superstring/M-theory

Session

Poster session

Dec 3, 2025, 3:30 PM

Yukawa Institute for Theoretical Physics, Kyoto University

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...