| Title |
Internal Levin-Wen models / |
| Authors |
Mulevičius, Vincentas ; Runkel, Ingo ; Voss, Thomas |
| DOI |
10.21468/SciPostPhys.17.3.088 |
| Full Text |
|
| Is Part of |
SciPost Physics.. Amsterdam : SciPost Foundation. 2024, vol. 17, iss. 3, art. no. 088, p. [1-57].. ISSN 2542-4653 |
| Keywords [eng] |
topological phases ; quantum field theories ; Kitaev model |
| Abstract [eng] |
Levin--Wen models are a class of two-dimensional lattice spin models with a Hamiltonian that is a sum of commuting projectors, which describe topological phases of matter related to Drinfeld centres. We generalise this construction to lattice systems internal to a topological phase described by an arbitrary modular fusion category C. The lattice system is defined in terms of an orbifold datum A in C, from which we construct a state space and a commuting-projector Hamiltonian HA acting on it. The topological phase of the degenerate ground states of HA is characterised by a modular fusion category CA defined directly in terms of A. By choosing different A's for a fixed C, one obtains precisely all phases which are Witt-equivalent to C. As special cases we recover the Kitaev and the Levin--Wen lattice models from instances of orbifold data in the trivial modular fusion category of vector spaces, as well as phases obtained by anyon condensation in a given phase C. |
| Published |
Amsterdam : SciPost Foundation |
| Type |
Journal article |
| Language |
English |
| Publication date |
2024 |
| CC license |
|
