Topological aspects of the critical three-state Potts model
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
We explore the topological defects of the critical three-state Potts spin system on the torus, Klein bottle and cylinder. A complete characterization is obtained by breaking down the Fuchs–Runkel–Schweigert construction of 2D rational CFT to the lattice setting. This is done by applying the strange correlator prescription to the recently obtained tensor network descriptions of string-net ground states in terms of bimodule categories (Lootens et al 2021 SciPost Phys. 10 053). The symmetries are represented by matrix product operators (MPO), as well as intertwiners between the diagonal tetracritical Ising model and the non-diagonal three-state Potts model. Our categorical construction lifts the global transfer matrix symmetries and intertwiners, previously obtained by solving Yang–Baxter equations, to MPO symmetries and intertwiners that can be locally deformed, fused and split. This enables the extraction of conformal characters from partition functions and yields a comprehensive picture of all boundary conditions.
Details
Original language | English |
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Article number | 235002 |
Journal | Journal of Physics A: Mathematical and Theoretical |
Volume | 55 |
Issue number | 23 |
Publication status | Published - 20 May 2022 |
Peer-reviewed | Yes |
External IDs
unpaywall | 10.1088/1751-8121/ac68b1 |
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WOS | 000800920800001 |
Mendeley | 50a20dc3-66df-36bf-bad3-d272abd12138 |
Scopus | 85131329049 |
Keywords
DFG Classification of Subject Areas according to Review Boards
ASJC Scopus subject areas
Keywords
- conformal field theory, topological defects, tensor networks