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nlin.SI2026
An integrable -graded extension of Camassa-Holm equation and its bi-Hamiltonian structure
N. Aizawa, Ichi Fujii, Ren Ito +1
By constructing Lax operators in the loop algebra of the -graded extension of the Lie superalgebra , we derive a -graded extens…
hep-th2026
On Generalized Statistics and Stability in -Graded Supersymmetric Yang-Mills Theory
Ren Ito, Akio Nago, Shou Tanigawa
In the standard formulation of relativistic quantum field theory, a -graded structure is assumed to realize locality and the boson-fermion dichotomy. While $\mathbb{Z…