3 papers
math.QA2026
Non-semisimple open-closed 3d TFT
Ingo Runkel, Yilong Wang
Given a spherical finite tensor category C, not necessarily semisimple, and a two-sided modified trace on its projective ideal, we define an open-closed three-dimensional topologic…
math.QA2026
Non-semisimple link and manifold invariants for symplectic fermions
Johannes Berger, Azat M. Gainutdinov, Ingo Runkel
We consider the link and three-manifold invariants from arXiv:1912.02063, which are defined in terms of certain non-semisimple finite ribbon categories together with…
cond-mat.str-el2025
All product eigenstates in Heisenberg models from a graphical construction
Felix Gerken, Ingo Runkel, Christoph Schweigert +1
Recently, large degeneracy based on product eigenstates has been found in spin ladders, kagome-like lattices, and motif magnetism, connected to spin liquids, anyonic phases, and qu…