Figures and tables in paper "Duality viewpoint of noninvertible symmetry protected topological phases"

This is a open collection of figures and tables in paper "Duality viewpoint of noninvertible symmetry protected topological phases" (arxiv: 2502.20435) [2dlattice.pdf] Left: triangular lattice and interface (red) between different NISPTs. Right: seven-body interaction term in the 2d SSB Hamiltonian (23). [duality.pdf] The duality method to study NISPT phases from group SSB phases with examples in the boxes. [effective.pdf] Effective process (left) and the dictionary of symmetry operators in UV and IR (right). [tensor.png] Local tensors on vertices and links. The physical bonds are in the directions perpendicular to the page. $A$-tensor acts on the vertices and $B$-tensor acts on the edges. $A, B$-tensors are connected by virtual bonds. [tensormaintext.pdf] Local tensors on vertices and links. The physical bonds are in the directions perpendicular to the page. $A$-tensor acts on the vertices and $B$-tensor acts on the edges, which are connected by virtual bonds labeled by $n=\pm 1$. $\prod^6_{i=1}\delta^{n_i}_{\tau_{j}}$ is a projection operator ensuring all the virtual bonds $n_i$ around the vertex $j$ with the same value $n_i=\tau_j=\pm 1$. [claasification of SPT.pdf] Classification} of $d$-Rep$(\mathbb{Z}^{(d-1)}_n\rtimes \mathbb{Z}^{(0)}_2)$ SPTs. {We show only the number of different classes of NISPT in each branch.