2005/12/05 by Eleonora Dell’Aquila, Eleonora Dell'Aquila · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Boundary (topology) #Brane cosmology #Computer science #Interpretation (philosophy) #Mathematical analysis #Mathematics #Minimal model #Minimal models #Mirror symmetry #Noncommutative and Quantum Gravity Theories #Orbifold #Physics #Pure mathematics #Quantum mechanics #Spacetime #Theoretical physics #Toroid #hep-th
paper · pdf · doi:10.1088/1126-6708/2006/04/035
published as JHEP0604:035,2006 · 30 pages, 2 figures
arxiv created 2005/12/05 · openalex publication_date 2006/04/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study D-branes extended in T2/Z4 using the mirror description as a tensor product of minimal models. We describe branes in the mirror both as boundary states in minimal models and as matrix factorizations in the corresponding Landau-Ginzburg model. We isolate a minimal set of branes and give a geometric interpretation of these as D1-branes constrained to the orbifold fixed points. This picture is supported both by spacetime arguments and by the explicit construction of the boundary states, adapting the known results for rational boundary states in the minimal models. Similar techniques apply to a larger class of toroidal orbifolds.