Field Theories for type-II fractons
Weslei B. Fontana, Pedro R. S. Gomes, Claudio Chamon
SciPost Phys. 12, 064 (2022) · published 16 February 2022
- doi: 10.21468/SciPostPhys.12.2.064
- Submissions/Reports
Abstract
We derive an effective field theory for a type-II fracton starting from the Haah code on the lattice. The effective topological theory is not given exclusively in terms of an action; it must be supplemented with a condition that selects physical states. Without the constraint, the action only describes a type-I fracton. The constraint emerges from a condition that cube operators multiply to the identity, and it cannot be consistently implemented in the continuum theory at the operator level, but only in a weaker form, in terms of matrix elements of physical states. Informed by these studies and starting from the opposite end, i.e., the continuum, we discuss a Chern-Simons-like theory that does not need a constraint or projector, and yet has no mobile excitations. Whether this continuum theory admits a lattice counterpart remains unanswered.
Cited by 10
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- Conselho Nacional de Desenvolvimento Científico e Tecnológico / National Council for Scientific and Technological Development [CNPq]
- Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (through Organization: Coordenação de Aperfeicoamento de Pessoal de Nível Superior [CAPES])
- United States Department of Energy [DOE]