4 problems

Determinant conjecture. Similarly to the sine-Gordon model, the one-point functions in the fermionic basis satisfy

Let the sine-Gordon model be considered in one spatial dimension, where it admits infinitely long-lived breather solutions, and in spatial dimensions $D>1$, where integrability is…

Monotone-profile conjecture. There exist $\gamma,m>0$ such that

Uniqueness conjecture. There exist $\gamma,m,z\in\mathbb{R}$ such that