B-type D-branes in hybrid models
A hybrid model is a fibration of a Landau-Ginzburg orbifold over a geometric base. We study B-type D-branes in hybrid models. Imposing B-type supersymmetry on the boundary action, we show that D-branes are specified by matrix factorisations in the fibre direction, together with some geometric data a...
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2024-12-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.17.6.165 |
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| author | Johanna Knapp, Robert Pryor |
| author_facet | Johanna Knapp, Robert Pryor |
| author_sort | Johanna Knapp, Robert Pryor |
| collection | DOAJ |
| description | A hybrid model is a fibration of a Landau-Ginzburg orbifold over a geometric base. We study B-type D-branes in hybrid models. Imposing B-type supersymmetry on the boundary action, we show that D-branes are specified by matrix factorisations in the fibre direction, together with some geometric data associated to the base. We also deduce conditions for the compatibility of these branes with the bulk orbifold actions and R-symmetry. We construct examples of hybrid B-branes which are generalisations of well-studied branes in geometric and Landau-Ginzburg models. Hybrid models can arise at limiting points of the stringy Kähler moduli space of Calabi-Yaus, and can be realised as phases of the corresponding gauged linear sigma models (GLSMs). Using GLSM techniques, we establish connections between geometric branes and hybrid branes. As explicit examples, we consider one- and two-parameter Calabi-Yau hybrids with a $\mathbb{P}^1$-base. |
| format | Article |
| id | doaj-art-d360887744914e6486312b9dfef070a8 |
| institution | OA Journals |
| issn | 2542-4653 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj-art-d360887744914e6486312b9dfef070a82025-08-20T02:38:40ZengSciPostSciPost Physics2542-46532024-12-0117616510.21468/SciPostPhys.17.6.165B-type D-branes in hybrid modelsJohanna Knapp, Robert PryorA hybrid model is a fibration of a Landau-Ginzburg orbifold over a geometric base. We study B-type D-branes in hybrid models. Imposing B-type supersymmetry on the boundary action, we show that D-branes are specified by matrix factorisations in the fibre direction, together with some geometric data associated to the base. We also deduce conditions for the compatibility of these branes with the bulk orbifold actions and R-symmetry. We construct examples of hybrid B-branes which are generalisations of well-studied branes in geometric and Landau-Ginzburg models. Hybrid models can arise at limiting points of the stringy Kähler moduli space of Calabi-Yaus, and can be realised as phases of the corresponding gauged linear sigma models (GLSMs). Using GLSM techniques, we establish connections between geometric branes and hybrid branes. As explicit examples, we consider one- and two-parameter Calabi-Yau hybrids with a $\mathbb{P}^1$-base.https://scipost.org/SciPostPhys.17.6.165 |
| spellingShingle | Johanna Knapp, Robert Pryor B-type D-branes in hybrid models SciPost Physics |
| title | B-type D-branes in hybrid models |
| title_full | B-type D-branes in hybrid models |
| title_fullStr | B-type D-branes in hybrid models |
| title_full_unstemmed | B-type D-branes in hybrid models |
| title_short | B-type D-branes in hybrid models |
| title_sort | b type d branes in hybrid models |
| url | https://scipost.org/SciPostPhys.17.6.165 |
| work_keys_str_mv | AT johannaknapprobertpryor btypedbranesinhybridmodels |