Matches in SemOpenAlex for { <https://semopenalex.org/work/W3118775013> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W3118775013 abstract "This is a PhD Thesis on the connection between subfactors (more precisely, their corresponding fusion categories) and Conformal Field Theory (CFT). Besides being a mathematically interesting topic on its own, subfactors have also attracted the attention of physicists, since there is a conjectured correspondence between these and CFTs. Although there is quite a persuasive body of evidence for this conjecture, there are some gaps: there exists a set of exceptional subfactors with no known counterpart CFT. Hence, it is necessary to develop new techniques for building a CFT from a subfactor. Here, it is useful to study the underlying mathematical structure in more detail: The even parts of every subfactor give rise to two Unitary Fusion Categories (UFCs), and it is a promising direction to study quantum spin systems constructed from these categories to find a connection to CFTs. The simplest example that requires new techniques for building a CFT is the Haagerup subfactor, since it is the smallest subfactor with index larger than 4. In this thesis, we investigate the question whether there is a CFT corresponding to the Haagerup subfactor via lattice models in one and two dimensions. The first task here is to find the F-symbols of the fusion category since these are crucial ingredients for the construction of a physical model in all of the models we consider in this thesis. We then investigate microscopic models such as the golden chain model and the Levin-Wen model in order to find evidence for a corresponding CFT. We find that there is no evidence for a corresponding CFT from the investigation of the UFCs directly and it is necessary to expand these studies to the corresponding unitary modular tensor category, which can, for instance, be obtained via the excitations of the Levin-Wen model." @default.
- W3118775013 created "2021-01-18" @default.
- W3118775013 creator A5057474033 @default.
- W3118775013 date "2020-01-01" @default.
- W3118775013 modified "2023-09-27" @default.
- W3118775013 title "Microscopic models for fusion categories" @default.
- W3118775013 doi "https://doi.org/10.15488/10324" @default.
- W3118775013 hasPublicationYear "2020" @default.
- W3118775013 type Work @default.
- W3118775013 sameAs 3118775013 @default.
- W3118775013 citedByCount "0" @default.
- W3118775013 crossrefType "journal-article" @default.
- W3118775013 hasAuthorship W3118775013A5057474033 @default.
- W3118775013 hasConcept C115961682 @default.
- W3118775013 hasConcept C121332964 @default.
- W3118775013 hasConcept C13355873 @default.
- W3118775013 hasConcept C154945302 @default.
- W3118775013 hasConcept C177264268 @default.
- W3118775013 hasConcept C17744445 @default.
- W3118775013 hasConcept C199360897 @default.
- W3118775013 hasConcept C199539241 @default.
- W3118775013 hasConcept C202444582 @default.
- W3118775013 hasConcept C24890656 @default.
- W3118775013 hasConcept C2524010 @default.
- W3118775013 hasConcept C2778971668 @default.
- W3118775013 hasConcept C2780990831 @default.
- W3118775013 hasConcept C2781204021 @default.
- W3118775013 hasConcept C33332235 @default.
- W3118775013 hasConcept C33923547 @default.
- W3118775013 hasConcept C41008148 @default.
- W3118775013 hasConcept C54613284 @default.
- W3118775013 hasConcept C62520636 @default.
- W3118775013 hasConcept C67820243 @default.
- W3118775013 hasConcept C69744172 @default.
- W3118775013 hasConcept C84114770 @default.
- W3118775013 hasConcept C98214594 @default.
- W3118775013 hasConceptScore W3118775013C115961682 @default.
- W3118775013 hasConceptScore W3118775013C121332964 @default.
- W3118775013 hasConceptScore W3118775013C13355873 @default.
- W3118775013 hasConceptScore W3118775013C154945302 @default.
- W3118775013 hasConceptScore W3118775013C177264268 @default.
- W3118775013 hasConceptScore W3118775013C17744445 @default.
- W3118775013 hasConceptScore W3118775013C199360897 @default.
- W3118775013 hasConceptScore W3118775013C199539241 @default.
- W3118775013 hasConceptScore W3118775013C202444582 @default.
- W3118775013 hasConceptScore W3118775013C24890656 @default.
- W3118775013 hasConceptScore W3118775013C2524010 @default.
- W3118775013 hasConceptScore W3118775013C2778971668 @default.
- W3118775013 hasConceptScore W3118775013C2780990831 @default.
- W3118775013 hasConceptScore W3118775013C2781204021 @default.
- W3118775013 hasConceptScore W3118775013C33332235 @default.
- W3118775013 hasConceptScore W3118775013C33923547 @default.
- W3118775013 hasConceptScore W3118775013C41008148 @default.
- W3118775013 hasConceptScore W3118775013C54613284 @default.
- W3118775013 hasConceptScore W3118775013C62520636 @default.
- W3118775013 hasConceptScore W3118775013C67820243 @default.
- W3118775013 hasConceptScore W3118775013C69744172 @default.
- W3118775013 hasConceptScore W3118775013C84114770 @default.
- W3118775013 hasConceptScore W3118775013C98214594 @default.
- W3118775013 hasLocation W31187750131 @default.
- W3118775013 hasOpenAccess W3118775013 @default.
- W3118775013 hasPrimaryLocation W31187750131 @default.
- W3118775013 hasRelatedWork W1547790924 @default.
- W3118775013 hasRelatedWork W1595357176 @default.
- W3118775013 hasRelatedWork W1653821205 @default.
- W3118775013 hasRelatedWork W1766659248 @default.
- W3118775013 hasRelatedWork W1841902420 @default.
- W3118775013 hasRelatedWork W2035224181 @default.
- W3118775013 hasRelatedWork W2082838663 @default.
- W3118775013 hasRelatedWork W2122014694 @default.
- W3118775013 hasRelatedWork W2132719320 @default.
- W3118775013 hasRelatedWork W2155652392 @default.
- W3118775013 hasRelatedWork W2482487924 @default.
- W3118775013 hasRelatedWork W2507699389 @default.
- W3118775013 hasRelatedWork W2522780039 @default.
- W3118775013 hasRelatedWork W2605971213 @default.
- W3118775013 hasRelatedWork W2613145478 @default.
- W3118775013 hasRelatedWork W2952744993 @default.
- W3118775013 hasRelatedWork W3105273415 @default.
- W3118775013 hasRelatedWork W3164099565 @default.
- W3118775013 hasRelatedWork W3172882359 @default.
- W3118775013 hasRelatedWork W991735214 @default.
- W3118775013 isParatext "false" @default.
- W3118775013 isRetracted "false" @default.
- W3118775013 magId "3118775013" @default.
- W3118775013 workType "article" @default.