5 papers
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…
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…
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…