Work

On the monoidal structure of matrix bi-factorizations

Year: 2010

Type: article

Abstract: We investigate tensor products of matrix factorizations. This is most naturally done by formulating matrix factorizations in terms of bimodules instead of modules. If the underlying ring is we show that bimodule matrix factorizations form a monoidal category. This monoidal category has a physical interpretation in terms of defect lines in a two-dimensional Landau–Ginzburg model. There is a dual description via conformal field theory, which in the special case of W = x d is an minimal model and which also gives rise to a monoidal category describing defect lines. We carry out a comparison of these two categories in certain subsectors by explicitly computing 6j-symbols.

Source: Journal of Physics A Mathematical and Theoretical

DOI: 10.1088/1751-8113/43/27/275401

Authors: Nils Carqueville, Ingo Runkel

Institution: King's College London

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: King's College London, Engineering and Physical Sciences Research Council, Science and Technology Facilities Council

Awards: Topological defects in conformal field theory and string theory, Symmetries, Supersymmetries, Strings and Spacetime: the search for a fundamental theory of physics.