Orbifold equivalent potentials
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- Autor/in:
- Erscheinungsjahr:
- 2016
- Medientyp:
- Text
- Schlagworte:
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- Algebra
- Defects
- Boundary conditions
- Gravitation
- Black Holes (Astronomy)
- Models
- Algebra
- Defects
- Boundary conditions
- Gravitation
- Black Holes (Astronomy)
- Models
- Beschreibung:
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- To a graded finite-rank matrix factorisation of the difference of two homogeneous potentials one can assign two numerical invariants, the left and right quantum dimensions. The existence of such a matrix factorisation with non-zero quantum dimensions defines an equivalence relation between potentials, giving rise to nonobvious equivalences of categories. Restricted to ADE singularities, the resulting equivalence classes of potentials are those of type \{A(d-1)\} for d odd, \{A(d-1),Dd/2+1\} for d even but not in \{12,18,30\}, and \{A(11), D-7, E-6\}, \{A(17), D-10, E-7\} and \{A(29), D-16, E-8\}. This is the result expected from two-dimensional rational conformal field theory, and it directly leads to new descriptions of and relations between the associated (derived) categories of matrix factorisations and Dynkin quiver representations. (C) 2015 Elsevier B.V. All rights reserved.
- To a graded finite-rank matrix factorisation of the difference of two homogeneous potentials one can assign two numerical invariants, the left and right quantum dimensions. The existence of such a matrix factorisation with non-zero quantum dimensions defines an equivalence relation between potentials, giving rise to non-obvious equivalences of categories.Restricted to ADE singularities, the resulting equivalence classes of potentials are those of type {Ad-1} for d odd, {Ad-1, Dd/2+1} for d even but not in {12, 18, 30}, and {A11, D7, E6}, {A17, D10, E7} and {A29, D16, E8}. This is the result expected from two-dimensional rational conformal field theory, and it directly leads to new descriptions of and relations between the associated (derived) categories of matrix factorisations and Dynkin quiver representations.
- Lizenz:
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- info:eu-repo/semantics/closedAccess
- Quellsystem:
- Forschungsinformationssystem der UHH
Interne Metadaten
- Quelldatensatz
- oai:www.edit.fis.uni-hamburg.de:publications/8554f6fa-e96f-4d45-8032-f033d38f3ff9