10 problems

Let the ${\cal Z}_2$-invariant inhomogeneous six-vertex model have anisotropy parameter $q$ satisfying … Let the Euclidean black-hole nonlinear sigma model be viewed as a conformal…

Let $epsilon$ parameterize the initial data, and let $epsilon^{*}$ be a non-zero value of this parameter. A solution is said to turn around when it changes from initially outgoing,…

Let $\epsilon$ parameterize the initial data, let $\chi_s(r)$ denote the static solution, and let $a$ be an $\epsilon$-dependent parameter. Static-solution threshold conjecture. Fo…

Let a nonlinear sigma model be a scalar field theory describing maps from spacetime to a target manifold $\mathcal{T}$, minimally coupled to gravity. A toric action is an action of…

Let $\mathcal{A}^{(3),\sigma}_n$ be a generic, pure generalized nonlinear sigma model $3$-amplitude, and consider any single soft limit obtained by sending one external kinematic d…

Let the O(3) nonlinear sigma-model have a topological charge density $\mathcal{L}_{\rm top}$, and let the theta angle fluctuate dynamically under renormalization-group evolution. I…

Negative-phase quotient conjecture. The Higgs branch of the negative phase is described by a nonlinear sigma model with target space

Let $K$ be the target space of a continuous $c0$-finite nonlinear $c3$-model, let $\mathbb{G}^{(d)}$ be the higher group associated with its singularity-free generalized symmetry,…

Let $N>6$. A Stiefel liquid is the critical quantum liquid described by a $(2+1)$-dimensional nonlinear sigma model with target space $SO(N)/SO(4)$, supplemented with a Wess–Zumino…

It is useful to distinguish quantum nonlinear sigma models from conformal field theories. Nonconformality conjecture. In general, quantum nonlinear sigma models are not conformal f…