5 papers
Additional constraints for the tensor bootstrap
Samuel Laliberte, Reiko Toriumi
Recently, new positivity constraints were suggested to constrain arbitrary unitary tensor integrals. In the present work, we explore two variants of these positivity constraints: o…
Finite- Bootstrap Constraints in Matrix and Tensor Models
Samuel Laliberte, Reiko Toriumi
We explore how matrix bootstrap techniques can be used to constrain matrix and tensor models at finite , where is the dimension of the matrix/tensor, taking a Gaussian model…
An equivalence in random matrix and tensor models via a dually weighted intermediate field representation
Juan Abranches, Alicia Castro, Reiko Toriumi
We present novel equivalences in random matrix and tensor models between complex and self-adjoint theories with nontrivial quadratic terms in the action, established through an int…
Classification of higher grade graphs for multi-matrix models
Rémi Cocou Avohou, Reiko Toriumi, Matthias Vancraeynest
The authors studied in [Ann. Inst. Henri Poincaré D 9, 367-433, (2022)], a complex multi-matrix model with symmetry, and whose double scaling…
Dually weighted multi-matrix models as a path to causal gravity-matter systems
Juan L. A. Abranches, Antonio D. Pereira, Reiko Toriumi
We introduce a dually-weighted multi-matrix model that for a suitable choice of weights reproduce two-dimensional Causal Dynamical Triangulations (CDT) coupled to the Ising model.…