Mirror symmetry and bosonization in 2d and 3d
Abstract We study a supersymmetry breaking deformation of the N=22 $$ \mathcal{N}=\left(2,2\right) $$ cigar = Liouville mirror pair, first introduced by Hori and Kapustin. We show that mirror symmetry flows in the infra-red to 2d bosonization, with the theories reducing to massive Thirring and Sine-...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP07(2018)059 |
| _version_ | 1818040318921015296 |
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| author | Andreas Karch David Tong Carl Turner |
| author_facet | Andreas Karch David Tong Carl Turner |
| author_sort | Andreas Karch |
| collection | DOAJ |
| description | Abstract We study a supersymmetry breaking deformation of the N=22 $$ \mathcal{N}=\left(2,2\right) $$ cigar = Liouville mirror pair, first introduced by Hori and Kapustin. We show that mirror symmetry flows in the infra-red to 2d bosonization, with the theories reducing to massive Thirring and Sine-Gordon respectively. The exact bosonization map emerges at one-loop. We further compactify non-supersymmetric 3d bosonization dualities on a circle and argue that these too flow to 2d bosonization at long distances. |
| first_indexed | 2024-12-10T08:12:38Z |
| format | Article |
| id | doaj.art-8252b2ec0bb44fa3a8603adc269f1274 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-10T08:12:38Z |
| publishDate | 2018-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-8252b2ec0bb44fa3a8603adc269f12742022-12-22T01:56:33ZengSpringerOpenJournal of High Energy Physics1029-84792018-07-012018711410.1007/JHEP07(2018)059Mirror symmetry and bosonization in 2d and 3dAndreas Karch0David Tong1Carl Turner2Department of Physics, University of WashingtonDepartment of Applied Mathematics and Theoretical Physics, University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, University of CambridgeAbstract We study a supersymmetry breaking deformation of the N=22 $$ \mathcal{N}=\left(2,2\right) $$ cigar = Liouville mirror pair, first introduced by Hori and Kapustin. We show that mirror symmetry flows in the infra-red to 2d bosonization, with the theories reducing to massive Thirring and Sine-Gordon respectively. The exact bosonization map emerges at one-loop. We further compactify non-supersymmetric 3d bosonization dualities on a circle and argue that these too flow to 2d bosonization at long distances.http://link.springer.com/article/10.1007/JHEP07(2018)059Chern-Simons TheoriesDuality in Gauge Field TheoriesField Theories in Lower DimensionsSupersymmetric Gauge Theory |
| spellingShingle | Andreas Karch David Tong Carl Turner Mirror symmetry and bosonization in 2d and 3d Journal of High Energy Physics Chern-Simons Theories Duality in Gauge Field Theories Field Theories in Lower Dimensions Supersymmetric Gauge Theory |
| title | Mirror symmetry and bosonization in 2d and 3d |
| title_full | Mirror symmetry and bosonization in 2d and 3d |
| title_fullStr | Mirror symmetry and bosonization in 2d and 3d |
| title_full_unstemmed | Mirror symmetry and bosonization in 2d and 3d |
| title_short | Mirror symmetry and bosonization in 2d and 3d |
| title_sort | mirror symmetry and bosonization in 2d and 3d |
| topic | Chern-Simons Theories Duality in Gauge Field Theories Field Theories in Lower Dimensions Supersymmetric Gauge Theory |
| url | http://link.springer.com/article/10.1007/JHEP07(2018)059 |
| work_keys_str_mv | AT andreaskarch mirrorsymmetryandbosonizationin2dand3d AT davidtong mirrorsymmetryandbosonizationin2dand3d AT carlturner mirrorsymmetryandbosonizationin2dand3d |