3d mirrors of the circle reduction of twisted A2N theories of class S
Mirror symmetry has proven to be a powerful tool to study several properties of higher dimensional superconformal field theories upon compactification to three dimensions. We propose a quiver description for the mirror theories of the circle reduction of twisted A2N theories of class S in four dimen...
| Үндсэн зохиолчид: | , , , |
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| Формат: | Journal article |
| Хэл сонгох: | English |
| Хэвлэсэн: |
Springer
2020
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| _version_ | 1826309726656266240 |
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| author | Beratto, E Giacomelli, S Mekareeya, N Sacchi, M |
| author_facet | Beratto, E Giacomelli, S Mekareeya, N Sacchi, M |
| author_sort | Beratto, E |
| collection | OXFORD |
| description | Mirror symmetry has proven to be a powerful tool to study several properties of higher dimensional superconformal field theories upon compactification to three dimensions. We propose a quiver description for the mirror theories of the circle reduction of twisted A2N theories of class S in four dimensions. Although these quivers bear a resemblance to the star-shaped quivers previously studied in the literature, they contain unitary, symplectic and special orthogonal gauge groups, along with hypermultiplets in the fundamental representation. The vacuum moduli spaces of these quiver theories are studied in detail. The Coulomb branch Hilbert series of the mirror theory can be matched with that of the Higgs branch of the corresponding four dimensional theory, providing a non-trivial check of our proposal. Moreover various deformations by mass and Fayet-Iliopoulos terms of such quiver theories are investigated. The fact that several of them flow to expected theories also gives another strong support for the proposal. Utilising the mirror quiver description, we discover a new supersymmetry enhancement renormalisation group flow. |
| first_indexed | 2024-03-07T07:40:01Z |
| format | Journal article |
| id | oxford-uuid:d5b7efcf-05ec-4b9f-80c5-8d98fd65b160 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:40:01Z |
| publishDate | 2020 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:d5b7efcf-05ec-4b9f-80c5-8d98fd65b1602023-04-13T11:59:19Z3d mirrors of the circle reduction of twisted A2N theories of class SJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:d5b7efcf-05ec-4b9f-80c5-8d98fd65b160EnglishSymplectic ElementsSpringer2020Beratto, EGiacomelli, SMekareeya, NSacchi, MMirror symmetry has proven to be a powerful tool to study several properties of higher dimensional superconformal field theories upon compactification to three dimensions. We propose a quiver description for the mirror theories of the circle reduction of twisted A2N theories of class S in four dimensions. Although these quivers bear a resemblance to the star-shaped quivers previously studied in the literature, they contain unitary, symplectic and special orthogonal gauge groups, along with hypermultiplets in the fundamental representation. The vacuum moduli spaces of these quiver theories are studied in detail. The Coulomb branch Hilbert series of the mirror theory can be matched with that of the Higgs branch of the corresponding four dimensional theory, providing a non-trivial check of our proposal. Moreover various deformations by mass and Fayet-Iliopoulos terms of such quiver theories are investigated. The fact that several of them flow to expected theories also gives another strong support for the proposal. Utilising the mirror quiver description, we discover a new supersymmetry enhancement renormalisation group flow. |
| spellingShingle | Beratto, E Giacomelli, S Mekareeya, N Sacchi, M 3d mirrors of the circle reduction of twisted A2N theories of class S |
| title | 3d mirrors of the circle reduction of twisted A2N theories of class S |
| title_full | 3d mirrors of the circle reduction of twisted A2N theories of class S |
| title_fullStr | 3d mirrors of the circle reduction of twisted A2N theories of class S |
| title_full_unstemmed | 3d mirrors of the circle reduction of twisted A2N theories of class S |
| title_short | 3d mirrors of the circle reduction of twisted A2N theories of class S |
| title_sort | 3d mirrors of the circle reduction of twisted a2n theories of class s |
| work_keys_str_mv | AT berattoe 3dmirrorsofthecirclereductionoftwisteda2ntheoriesofclasss AT giacomellis 3dmirrorsofthecirclereductionoftwisteda2ntheoriesofclasss AT mekareeyan 3dmirrorsofthecirclereductionoftwisteda2ntheoriesofclasss AT sacchim 3dmirrorsofthecirclereductionoftwisteda2ntheoriesofclasss |