Affiliation:
1. Freie Universität Berlin
2. Royal Institute of Technology (KTH)
3. Stockholm University
Abstract
We construct local generalizations of 3-state Potts models with
exotic critical points. We analytically show that these are described by
non-diagonal modular invariant partition functions of products of
Z_3Z3
parafermion or u(1)_6u(1)6
conformal field theories (CFTs). These correspond either to non-trivial
permutation invariants or block diagonal invariants, that one can
understand in terms of anyon condensation. In terms of lattice
parafermion operators, the constructed models correspond to parafermion
chains with many-body terms. Our construction is based on how the
partition function of a CFT depends on symmetry sectors and boundary
conditions. This enables to write the partition function corresponding
to one modular invariant as a linear combination of another over
different sectors and boundary conditions, which translates to a general
recipe how to write down a microscopic model, tuned to criticality. We
show that the scheme can also be extended to construct critical
generalizations of kk-state
clock type models.
Funder
Dahlem Research School, Freie Universität Berlin
Vetenskapsrådet
Cited by
3 articles.
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