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arXiv · 2507.22644

$SL(2,\mathbb{Z})$ dualities of boundary conditions in Abelian M2-brane SCFTs

Tadashi Okazaki·Douglas J. Smith
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Abstract

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.

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Tadashi Okazaki, Douglas J. Smith. 2025-07-30. $SL(2,\mathbb{Z})$ dualities of boundary conditions in Abelian M2-brane SCFTs. https://doi.org/10.1007/jhep12(2025)070

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