Adrián Franco-Rubio, J. Ignacio Cirac, Germán Sierra (Jul 31 2025).
Abstract: We introduce one-parameter families of spin chain ansatz wavefunctions constructed from chiral conformal field theory correlators on a torus, with the modular parameter
τ serving as the deformation parameter. In the cylinder limit
τ→∞, these wavefunctions reduce to infinite dimensional matrix product states. In contrast, in the thin torus limit
τ→0, they become finite bond dimension matrix product states (MPS). Focusing on families derived from the SU(2)
1 and SU(2)
2 Wess-Zumino-Witten models, we show that in the thin torus limit they reproduce known MPS ground states, such as those of the Majumdar-Ghosh and AKLT spin chains.