3 problems

Kitaev's monopole mass-gap conjecture. The monopoles have a mass gap, and the mass gap is extensive in the number of monopoles.

Let $G$ be the space group No. 227 and let the full symmetry be $\mathcal{G}=G\times\mathrm{SO}(3)$. Consider a symmetry-fractionalization pattern for an emergent $(3+1)$-dimension…

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…