27 citations · 113 across the 12 of their papers we have counts for
12 papers · 1 filter
A gravitational realization of Courant--Hilbert deformations
Osamu Fukushima, Miyabi Kurihara, Takaki Matsumoto +1
Courant--Hilbert (CH) deformations unify broad classes of solvable stress-tensor flows including and root-. However, a gravitational action that systematically…
Machine-Learning Search for Lax Connections
Osamu Fukushima, Tomohiro Shigemura, Ryosuke Suda +2
We apply a machine learning framework to search for Lax connections in two-dimensional non-linear sigma models using local current data. For the principal chiral model and…
Courant-Hilbert deformations of Yang-Baxter sigma models
Osamu Fukushima, Takaki Matsumoto, Kentaroh Yoshida
We present integrable deformations of Yang-Baxter (YB) sigma models based on the Courant-Hilbert (CH) construction. To this end, we employ the four-dimensional Chern-Simons theory,…
The Courant-Hilbert construction in 4D Chern-Simons theory
Osamu Fukushima, Takaki Matsumoto, Kentaroh Yoshida
We consider the Courant-Hilbert (CH) construction of integrable deformations of a two-dimensional principal chiral model (2D PCM) in the context of the four-dimensional Chern-Simon…
Scaling law for membrane lifetime
Osamu Fukushima, Tomohiro Shigemura, Kentaroh Yoshida
Membrane configurations in the Banks-Fischler-Shenker-Susskind matrix model are unstable due to the existence of flat directions in the potential and the decay process can be seen…
4D Chern-Simons theory with auxiliary fields
Osamu Fukushima, Kentaroh Yoshida
The auxiliary field sigma model (AFSM) has recently been constructed by Ferko and Smith as deformations of the principal chiral model by including auxiliary fields and the potentia…
Chaotic instability in the BFSS matrix model
Osamu Fukushima, Kentaroh Yoshida
Chaotic scattering is a manifestation of transient chaos realized by the scattering with non-integrable potential. When the initial position is taken in the potential, a particle i…
Non-Abelian Toda field theories from a 4D Chern-Simons theory
Osamu Fukushima, Jun-ichi Sakamoto, Kentaroh Yoshida
We derive non-abelian Toda field theories (NATFTs) from a 4d Chern-Simons (CS) theory with two order defects by employing a certain asymptotic boundary condition. The 4d CS theory…
Integrable deformed sigma models from 4D Chern-Simons theory
Osamu Fukushima, Jun-ichi Sakamoto, Kentaroh Yoshida
Recently, a variety of deformed manifolds, with which 2D non-linear sigma models (NLSMs) are classically integrable, have been presented by Arutyunov, Bassi and Lacroix (…
The Faddeev-Reshetikhin model from a 4D Chern-Simons theory
Osamu Fukushima, Jun-ichi Sakamoto, Kentaroh Yoshida
We derive the Faddeev-Reshetikhin (FR) model from a four-dimensional Chern- Simons theory with two order surface defects by following the work by Costello and Yamazaki [arXiv:1908.…
Yang-Baxter deformations of the AdSS supercoset sigma model from 4D Chern-Simons theory
Osamu Fukushima, Jun-ichi Sakamoto, Kentaroh Yoshida
We present homogeneous Yang-Baxter deformations of the AdSS supercoset sigma model as boundary conditions of a 4D Chern-Simons theory. We first generalize the procedu…
Comments on -deformed principal chiral model from 4D Chern-Simons theory
Osamu Fukushima, Jun-ichi Sakamoto, Kentaroh Yoshida
We study -deformations of principal chiral model (PCM) from the viewpoint of a 4D Chern-Simons (CS) theory. The -deformed PCM has originally been derived from the 4D CS theor…