Supersymmetric vortex defects in two dimensions
Abstract We study codimension-two BPS defects in 2d N=2,2 $$ \mathcal{N} = \left(2,\ 2\right) $$ supersymmetric gauge theories, focusing especially on those characterized by vortex-like singularities in the dynamical or non-dynamical gauge field. We classify possible SUSY-preserving boundary conditi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP01(2018)033 |
| _version_ | 1828309233607639040 |
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| author | Kazuo Hosomichi Sungjay Lee Takuya Okuda |
| author_facet | Kazuo Hosomichi Sungjay Lee Takuya Okuda |
| author_sort | Kazuo Hosomichi |
| collection | DOAJ |
| description | Abstract We study codimension-two BPS defects in 2d N=2,2 $$ \mathcal{N} = \left(2,\ 2\right) $$ supersymmetric gauge theories, focusing especially on those characterized by vortex-like singularities in the dynamical or non-dynamical gauge field. We classify possible SUSY-preserving boundary conditions on charged matter fields around the vortex defects, and derive a formula for defect correlators on the squashed sphere. We also prove an equivalence relation between vortex defects and 0d-2d coupled systems. Our defect correlators are shown to be consistent with the mirror symmetry duality between Abelian gauged linear sigma models and Landau-Ginzburg models, as well as that between the minimal model and its orbifold. We also study the vortex defects inserted at conical singularities. |
| first_indexed | 2024-04-13T15:25:44Z |
| format | Article |
| id | doaj.art-a28ff1feb1e14e519a3539df2b51a4f3 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-13T15:25:44Z |
| publishDate | 2018-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-a28ff1feb1e14e519a3539df2b51a4f32022-12-22T02:41:30ZengSpringerOpenJournal of High Energy Physics1029-84792018-01-012018116610.1007/JHEP01(2018)033Supersymmetric vortex defects in two dimensionsKazuo Hosomichi0Sungjay Lee1Takuya Okuda2Department of Applied Physics, National Defense AcademyKorea Institute for Advanced StudyUniversity of Tokyo, KomabaAbstract We study codimension-two BPS defects in 2d N=2,2 $$ \mathcal{N} = \left(2,\ 2\right) $$ supersymmetric gauge theories, focusing especially on those characterized by vortex-like singularities in the dynamical or non-dynamical gauge field. We classify possible SUSY-preserving boundary conditions on charged matter fields around the vortex defects, and derive a formula for defect correlators on the squashed sphere. We also prove an equivalence relation between vortex defects and 0d-2d coupled systems. Our defect correlators are shown to be consistent with the mirror symmetry duality between Abelian gauged linear sigma models and Landau-Ginzburg models, as well as that between the minimal model and its orbifold. We also study the vortex defects inserted at conical singularities.http://link.springer.com/article/10.1007/JHEP01(2018)033Conformal Field TheoryField Theories in Lower DimensionsSupersymmetric Gauge TheorySupersymmetry and Duality |
| spellingShingle | Kazuo Hosomichi Sungjay Lee Takuya Okuda Supersymmetric vortex defects in two dimensions Journal of High Energy Physics Conformal Field Theory Field Theories in Lower Dimensions Supersymmetric Gauge Theory Supersymmetry and Duality |
| title | Supersymmetric vortex defects in two dimensions |
| title_full | Supersymmetric vortex defects in two dimensions |
| title_fullStr | Supersymmetric vortex defects in two dimensions |
| title_full_unstemmed | Supersymmetric vortex defects in two dimensions |
| title_short | Supersymmetric vortex defects in two dimensions |
| title_sort | supersymmetric vortex defects in two dimensions |
| topic | Conformal Field Theory Field Theories in Lower Dimensions Supersymmetric Gauge Theory Supersymmetry and Duality |
| url | http://link.springer.com/article/10.1007/JHEP01(2018)033 |
| work_keys_str_mv | AT kazuohosomichi supersymmetricvortexdefectsintwodimensions AT sungjaylee supersymmetricvortexdefectsintwodimensions AT takuyaokuda supersymmetricvortexdefectsintwodimensions |