6 problems

Let $4\mathcal{A}(\mathcal{O})4$ be the algebra of a massive theory associated with a double cone $4\mathcal{O}4$, and let $4\omega_{m=0}4$ denote the conformally invariant vacuum…

Let $\mathcal{M}$ be a local von Neumann factor, let $\sigma_s$ be its modular action, and let $\mathcal{R}(\mathcal{M},\sigma_s)$ be the algebra generated by $\mathcal{M}$ togethe…

Let $a^{(+)}(k)$ denote real-space creation or annihilation variables, and let $a^{(+)}(k,\beta)$ and $\tilde{a}^{(+)}(k,\beta)$ denote temperature-dependent primordial variables.…

Let $g_{ik}(x)$ be a spacetime metric, let $dt=dx^0$ be coordinate time, and consider an ideal clock fixed at spatial position $x^i$, $i=1,2,3$. Its proper time satisfies … Let…

Determination conjecture. There exists a unitary operator $W$ such that

Let $A$ be a smooth $*$-algebra, let $\sigma$ be a regular automorphism of $A$, and let $F$ be its fixed point algebra. Let ${\mathcal S}$ be the semigroup of modular homotopy clas…