3 papers
hep-th2025
The Yang-Baxter integrability of the critical Ising chain
Akash Sinha, Tinu Justin, Pramod Padmanabhan +1
We show that the one dimensional, critical transverse field Ising model is Yang-Baxter integrable. This is done by constructing commuting transfer matrices built out of a -matri…
hep-th2025
Non-invertible symmetry breaking in a frustration-free spin chain
Akash Sinha, Vivek Kumar Singh, Pramod Padmanabhan +2
A nearest-neighbor, frustration-free spin chain can be constructed {\it via} projectors of various ranks á la Bravyi-Gosset. We show that in the rank 1 case this syst…
nlin.SI2024
First integrals of some two-dimensional integrable Hamiltonian systems
Aritra Ghosh, Akash Sinha, Bijan Bagchi
In this paper, we discuss some results on integrable Hamiltonian systems with two degrees of freedom. We revisit the much-studied problem of the two-dimensional harmonic oscillator…