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Matrix Factorizations and Homological Mirror Symmetry on the Torus

We consider matrix factorizations and homological mirror symmetry for the Z_4-Landau-Ginzburg orbifold of the torus T^2. We identify the basic matrix factorizations and compute the full spectrum, taking into account the explicit dependence on bulk and boundary moduli. We verify homological mirror sy...

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Detalles Bibliográficos
Autores principales: Knapp, Johanna, Omer, Harun
Lenguaje:eng
Publicado: 2007
Materias:
Acceso en línea:https://dx.doi.org/10.1088/1126-6708/2007/03/088
http://cds.cern.ch/record/1014035
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author Knapp, Johanna
Omer, Harun
author_facet Knapp, Johanna
Omer, Harun
author_sort Knapp, Johanna
collection CERN
description We consider matrix factorizations and homological mirror symmetry for the Z_4-Landau-Ginzburg orbifold of the torus T^2. We identify the basic matrix factorizations and compute the full spectrum, taking into account the explicit dependence on bulk and boundary moduli. We verify homological mirror symmetry by comparing three-point functions in the A-model and the B-model.
id cern-1014035
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2007
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spelling cern-10140352023-03-12T04:30:49Zdoi:10.1088/1126-6708/2007/03/088http://cds.cern.ch/record/1014035engKnapp, JohannaOmer, HarunMatrix Factorizations and Homological Mirror Symmetry on the TorusParticle Physics - TheoryWe consider matrix factorizations and homological mirror symmetry for the Z_4-Landau-Ginzburg orbifold of the torus T^2. We identify the basic matrix factorizations and compute the full spectrum, taking into account the explicit dependence on bulk and boundary moduli. We verify homological mirror symmetry by comparing three-point functions in the A-model and the B-model.We consider matrix factorizations and homological mirror symmetry on the torus T^2 using a Landau-Ginzburg description. We identify the basic matrix factorizations of the Landau-Ginzburg superpotential and compute the full spectrum, taking into account the explicit dependence on bulk and boundary moduli. We verify homological mirror symmetry by comparing three-point functions in the A-model and the B-model.hep-th/0701269CERN-PH-TH-2007-021CERN-PH-TH-2007-021oai:cds.cern.ch:10140352007-01-29
spellingShingle Particle Physics - Theory
Knapp, Johanna
Omer, Harun
Matrix Factorizations and Homological Mirror Symmetry on the Torus
title Matrix Factorizations and Homological Mirror Symmetry on the Torus
title_full Matrix Factorizations and Homological Mirror Symmetry on the Torus
title_fullStr Matrix Factorizations and Homological Mirror Symmetry on the Torus
title_full_unstemmed Matrix Factorizations and Homological Mirror Symmetry on the Torus
title_short Matrix Factorizations and Homological Mirror Symmetry on the Torus
title_sort matrix factorizations and homological mirror symmetry on the torus
topic Particle Physics - Theory
url https://dx.doi.org/10.1088/1126-6708/2007/03/088
http://cds.cern.ch/record/1014035
work_keys_str_mv AT knappjohanna matrixfactorizationsandhomologicalmirrorsymmetryonthetorus
AT omerharun matrixfactorizationsandhomologicalmirrorsymmetryonthetorus