10 problems

Emergent-symmetry correspondence conjecture. There exists a one-to-one correspondence between the set of allowed boundary Hamiltonians and the set of Hamiltonians obeying the emerg…

Let $H_{\operatorname{BDI}}$ be an open chain of size $L$, whose related bulk Hamiltonian has winding number $\omega>0$ and is described by … Define … Suppose that $m(z)$ has singu…

Let $\mathcal T$ be a Poisson BV theory on $N$, and let $\mathcal Z(\mathcal T)$ be its universal bulk theory. Let … be the respective projections. Write…

Bulk-boundary higher-curvature conjecture. The infinite and semi-infinite systems have the same higher Berry curvature when $a$ is taken sufficiently far from the boundary.

Let $V$ be the boundary vertex operator algebra, and let its vacuum module be viewed as a $V$-module. The self-Ext of the vacuum module means the Ext algebra of that module with it…

In a non-Hermitian model exhibiting conventional bulk-boundary correspondence (cBBC), consider a domain-wall geometry formed by coupling it to another model in a different topologi…

Let $\Lambda$ be the underlying lattice, let $A\subset\Lambda$ be any rectangular region, and let $H_A$ denote the corresponding parent Hamiltonian restricted to $A$. A boundary st…

Let $\hat h=(h,\tilde h)\in M_{2N}(\mathbb C)\times\widehat{\mathpzc A}_d$ with $d=3$, suppose BGH and CH apply, and assume ${\rm Ch}_3(u_F)\neq 0$. Then the boundary spectrum is d…

Let $d\leq 3$ and consider the topological phases listed by the non-vanishing entries in the classification table of the ten symmetry classes. A boundary spectrum is delocalized wh…

Parametrised T-duality trivialisation conjecture. The diagram