6 problems

Consider the $(7,3,-1)$ model, whose finite-size spectrum has central charge $c=\frac32$ and includes levels described by pairs of conformal weights $(h,\bar{h})_1+(h,\bar{h})_2$.…

$\mathcal{W}B_3(7,9)$ conjecture. The critical theory of the anyon chain is the $\mathcal{W}B_3(7,9)$ rational conformal field theory, with the same central charge and conformal we…

The $(5,3,+1)$ model is a critical clock model or anyon chain whose low-energy spectrum is described by a conformal field theory. Based on the observed spectrum, the Ising-product…

The anti-ferromagnetic $Z_n$ FateevZamolodchikov models with odd $n$ have critical theories of central charge $c=1$ in their continuum limits. Rationality conjecture for odd-$n$ FZ…

Extended Virasoro symmetry conjecture. The low-energy theories are unitary rational models invariant under extensions of the Virasoro algebra: the $\mathcal{W}B_2$ algebra for…

Let $\chi_k^{\pm}\in\mathbb{R}$ denote the boundary amplitudes, and let the energies be those obtained analytically from the Bethe-equation analysis of the $D(D_3)$-anyon chain wit…