Field Theories for type-II fractons
| Autor: | Fontana, Weslei B., Gomes, Pedro R. S., Chamon, Claudio |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | SciPost Phys. 12, 064 (2022) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.21468/SciPostPhys.12.2.064 |
| Popis: | 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. Comment: 29 pages, 3 figures |
| Databáze: | arXiv |
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