TY - GEN
T1 - Non-invertible Symmetry Breaking in a Frustration-Free Spin Chain
AU - Sinha, Akash
AU - Singh, Vivek Kumar
AU - Padmanabhan, Pramod
AU - Hao, Kun
AU - Korepin, Vladimir
N1 - Publisher Copyright:
© The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2025.
PY - 2025
Y1 - 2025
N2 - A nearest-neighbor, frustration-free spin 12 chain can be constructed via projectors of various ranks á la Bravyi-Gosset. We show that in the rank 1 case this system is gapped and has two ground states resembling ferromagnetic states. These states spontaneously break the non-invertible symmetry connecting them. The latter is proved using the machinery of algebraic quantum theory. The non-invertible symmetries of this system do not come from a duality.
AB - A nearest-neighbor, frustration-free spin 12 chain can be constructed via projectors of various ranks á la Bravyi-Gosset. We show that in the rank 1 case this system is gapped and has two ground states resembling ferromagnetic states. These states spontaneously break the non-invertible symmetry connecting them. The latter is proved using the machinery of algebraic quantum theory. The non-invertible symmetries of this system do not come from a duality.
KW - Algebraic quantum theory
KW - Non-invertible symmetry
KW - Spontaneous symmetry-breaking
UR - https://www.scopus.com/pages/publications/105029908660
U2 - 10.1007/978-981-95-1513-4_130
DO - 10.1007/978-981-95-1513-4_130
M3 - Conference contribution
AN - SCOPUS:105029908660
SN - 9789819515127
T3 - Springer Proceedings in Physics
SP - 567
EP - 570
BT - Proceedings of the XXVI DAE-BRNS High Energy Physics (HEP) Symposium, 2024
A2 - Singh, Lakhwinder
A2 - Singh, Venktesh
A2 - Ganguly, Avijit Kumar
A2 - Shukla, Prashant
PB - Springer Science and Business Media Deutschland GmbH
T2 - 26th DAE-BRNS High Energy Physics Symposium, DAE-BRNS 2024
Y2 - 19 December 2024 through 23 December 2024
ER -