Abstract
We propose confining dualities of \( \mathcal{N} \) = (0, 2) half-BPS boundary conditions in 3d \( \mathcal{N} \) = 2 supersymmetric SU(N), USp(2n) and SO(N) gauge theories. Some of these dualities have the novel feature that one (anti)fundamental chiral has Dirichlet boundary condition while the rest have Neumann boundary conditions. While some of the dualities can be extended to 3d bulk dualities, others should be understood intrinsically as 2d dualities as they seem to hold only at the boundary. The gauge theory Neumann half-indices are well-defined even for theories which contain monopole operators with non-positive scaling dimensions and they are given by Askey-Wilson type q-beta integrals. As a consequence of the confining dualities, new conjectural identities of such integrals are found.
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Acknowledgments
The authors would like to thank Stefano Cremonesi for useful discussions and comments. The work of T.O. was supported by the Startup Funding no. 4007012317 of the Southeast University. The work of D.S. was supported in part by the STFC Consolidated grant ST/T000708/1.
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Okazaki, T., Smith, D.J. Boundary confining dualities and Askey-Wilson type q-beta integrals. J. High Energ. Phys. 2023, 48 (2023). https://doi.org/10.1007/JHEP08(2023)048
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DOI: https://doi.org/10.1007/JHEP08(2023)048