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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.22644 |
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| _version_ | 1866908704689881088 |
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| author | Okazaki, Tadashi Smith, Douglas J. |
| author_facet | Okazaki, Tadashi Smith, Douglas J. |
| contents | We propose $SL(2,\mathbb{Z})$ dualities of supersymmetric boundary conditions in the three-dimensional supersymmetric field theories describing a semi-infinite M2-brane terminating on M5-branes. Specifically, we present dualities of boundary conditions for Abelian (quiver) ADHM theories and circular quiver Chern-Simons matter theories including the ABJM model. For the circular quiver Chern-Simons theories we take boundary conditions breaking a $U(1)_1 \times U(1)_{-1}$ gauge group to its diagonal subgroup which is decoupled. This can be generalized to break $U(1)_k \times U(1)_{-k}$, leaving a $\mathbb{Z}_k$ gauge theory. We find matching of the 't Hooft anomalies and supersymmetric half-indices for all the proposed dual boundary conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_22644 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $SL(2,\mathbb{Z})$ dualities of boundary conditions in Abelian M2-brane SCFTs Okazaki, Tadashi Smith, Douglas J. High Energy Physics - Theory We propose $SL(2,\mathbb{Z})$ dualities of supersymmetric boundary conditions in the three-dimensional supersymmetric field theories describing a semi-infinite M2-brane terminating on M5-branes. Specifically, we present dualities of boundary conditions for Abelian (quiver) ADHM theories and circular quiver Chern-Simons matter theories including the ABJM model. For the circular quiver Chern-Simons theories we take boundary conditions breaking a $U(1)_1 \times U(1)_{-1}$ gauge group to its diagonal subgroup which is decoupled. This can be generalized to break $U(1)_k \times U(1)_{-k}$, leaving a $\mathbb{Z}_k$ gauge theory. We find matching of the 't Hooft anomalies and supersymmetric half-indices for all the proposed dual boundary conditions. |
| title | $SL(2,\mathbb{Z})$ dualities of boundary conditions in Abelian M2-brane SCFTs |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2507.22644 |