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20202026
most citedComments on -deformed principal chiral model from 4D Chern-Simons theory

27 citations · 113 across the 12 of their papers we have counts for

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hep-th2026

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…

hep-th2026

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…

hep-th2026

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,…

hep-th2025★ 5 cited

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…

hep-th2024

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…

hep-th2024★ 7 cited

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…

hep-th2022★ 7 cited

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…

hep-th2021★ 9 cited

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…

hep-th2021★ 9 cited

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 (…

hep-th2020★ 19 cited

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.…

hep-th2020★ 19 cited

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…

hep-th2020★ 27 cited

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…