4 problems

Sector-resolved oscillation conjecture. To leading order in $1/\log\ell$, the flux-dependent oscillatory corrections can be absorbed into the sector projection so that

Consider the massless time-like regime of the XX chain and the complex correlation function $(-1)^m\langle\sigma^-_1(0)\sigma^+_{m+1}(t)\rangle$. Positivity conjecture. Both its re…

In the XX chain, $q=i$ and hence $\Delta=0$. Let $m$ denote the separation in the equal-time transversal correlation $\langle\sigma^x_1\sigma^x_{m+1}\rangle$. l'Hospital-rule conje…

Let $r(m,t,h):=(-1)^m\langle \sigma^-_{1}(0)\sigma^+_{m+1}(t)\rangle_{-h,T}/I_m(t)$ be the ratio formed from the time-like correlation function and its leading asymptotic factor. F…