Majorana chain and Ising model - (non-invertible) translations, anomalies, and emanant symmetries

• Published in: SciPost physics Vol. 16; no. 3; p. 064
• Main Authors: Seiberg, Nathan, Shao, Shu-Heng
• Format: Journal Article
• Language: English
• Published: Netherlands Stichting SciPost 01.03.2024; SciPost

We study the symmetries of closed Majorana chains in 1+1d, including the translation, fermion parity, spatial parity, and time-reversal symmetries. The algebra of the symmetry operators is realized projectively on the Hilbert space, signaling anomalies on the lattice, and constraining the long-dista...