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M-theoretic genesis of topological phases.
- Source :
- Journal of High Energy Physics; Nov2020, Vol. 2020 Issue 11, p1-58, 58p
- Publication Year :
- 2020
-
Abstract
- We present a novel M-theoretic approach of constructing and classifying anyonic topological phases of matter, by establishing a correspondence between (2+1)d topological field theories and non-hyperbolic 3-manifolds. In this construction, the topological phases emerge as macroscopic world-volume theories of M5-branes wrapped around certain types of non-hyperbolic 3-manifolds. We devise a systematic algorithm for identifying the emergent topological phases from topological data of the internal wrapped 3-manifolds. As a benchmark of our approach, we reproduce all the known unitary bosonic topological orders up to rank 4. Remarkably, our construction is not restricted to an unitary bosonic theory but it can also generate fermionic and/or non-unitary anyon models in an equivalent fashion. Hence, we pave a new route toward the classification of topological phases of matter. [ABSTRACT FROM AUTHOR]
- Subjects :
- PHASES of matter
TOPOLOGICAL fields
ALGORITHMS
CLASSIFICATION
Subjects
Details
- Language :
- English
- ISSN :
- 11266708
- Volume :
- 2020
- Issue :
- 11
- Database :
- Complementary Index
- Journal :
- Journal of High Energy Physics
- Publication Type :
- Academic Journal
- Accession number :
- 147737999
- Full Text :
- https://doi.org/10.1007/JHEP11(2020)115